λ
Integer Codex

3,717,681

3 × 11 × 112657
Deficient Odd Composite

For 3,717,681, the 8 positive divisors have a total of 5,407,584. Removing 3,717,681 leaves 1,689,903, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 11 × 112657
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,407,584
Proper Divisor Sum 1,689,903
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3717667 ← → #3717683

Radix Representation

Decimal 3717681
Binary 1110001011101000110001 (22 bits)
Octal 0o16135061
Hexadecimal 0x38BA31

Divisor Catalog (8)

1 3 11 33 112,657 337,971 1,239,227 3,717,681

Collatz Trajectory (141 steps to reach 1)

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

3,717,681 11,153,044 5,576,522 2,788,261 8,364,784 4,182,392 2,091,196 1,045,598 522,799 1,568,398 784,199 2,352,598 1,176,299 3,528,898 1,764,449 5,293,348 2,646,674 1,323,337 3,970,012 1,985,006 992,503 2,977,510 1,488,755 4,466,266 2,233,133 6,699,400 3,349,700 1,674,850 837,425 2,512,276 1,256,138 628,069 1,884,208 942,104 471,052 235,526 117,763 353,290 176,645 529,936 264,968 132,484 66,242 33,121 99,364 49,682 24,841 74,524 37,262 18,631 55,894 27,947 83,842 41,921 125,764 62,882 31,441 94,324 47,162 23,581

More profiles

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