λ
Integer Codex

8,044,655

5 × 17 × 31 × 43 × 71
Deficient Odd Composite

For 8,044,655, the 32 positive divisors have a total of 10,948,608. Removing 8,044,655 leaves 2,903,953, which gives the deficient classification.

Prime Factor Structure

Factorization String 5 × 17 × 31 × 43 × 71
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 10,948,608
Proper Divisor Sum 2,903,953
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #8044633 ← → #8044667

Radix Representation

Decimal 8044655
Binary 11110101100000001101111 (23 bits)
Octal 0o36540157
Hexadecimal 0x7AC06F

Divisor Catalog (32)

1 5 17 31 43 71 85 155 215 355 527 731 1,207 1,333 2,201 2,635 3,053 3,655 6,035 6,665 11,005 15,265 22,661 37,417 51,901 94,643 113,305 187,085 259,505 473,215 1,608,931 8,044,655

Collatz Trajectory (155 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

8,044,655 24,133,966 12,066,983 36,200,950 18,100,475 54,301,426 27,150,713 81,452,140 40,726,070 20,363,035 61,089,106 30,544,553 91,633,660 45,816,830 22,908,415 68,725,246 34,362,623 103,087,870 51,543,935 154,631,806 77,315,903 231,947,710 115,973,855 347,921,566 173,960,783 521,882,350 260,941,175 782,823,526 391,411,763 1,174,235,290 587,117,645 1,761,352,936 880,676,468 440,338,234 220,169,117 660,507,352 330,253,676 165,126,838 82,563,419 247,690,258 123,845,129 371,535,388 185,767,694 92,883,847 278,651,542 139,325,771 417,977,314 208,988,657 626,965,972 313,482,986 156,741,493 470,224,480 235,112,240 117,556,120 58,778,060 29,389,030 14,694,515 44,083,546 22,041,773 66,125,320

More profiles

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