λ
Integer Codex

770,455

5 × 7 × 22013
Deficient Odd Composite

For 770,455, the 8 positive divisors have a total of 1,056,672. Removing 770,455 leaves 286,217, which gives the deficient classification.

Prime Factor Structure

Factorization String 5 × 7 × 22013
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,056,672
Proper Divisor Sum 286,217
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #770449 ← → #770459

Radix Representation

Decimal 770455
Binary 10111100000110010111 (20 bits)
Octal 0o2740627
Hexadecimal 0xBC197

Divisor Catalog (8)

1 5 7 35 22,013 110,065 154,091 770,455

Collatz Trajectory (74 steps to reach 1)

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

770,455 2,311,366 1,155,683 3,467,050 1,733,525 5,200,576 2,600,288 1,300,144 650,072 325,036 162,518 81,259 243,778 121,889 365,668 182,834 91,417 274,252 137,126 68,563 205,690 102,845 308,536 154,268 77,134 38,567 115,702 57,851 173,554 86,777 260,332 130,166 65,083 195,250 97,625 292,876 146,438 73,219 219,658 109,829 329,488 164,744 82,372 41,186 20,593 61,780 30,890 15,445 46,336 23,168 11,584 5,792 2,896 1,448 724 362 181 544 272 136

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