770,456

2³ × 193 × 499

770,456 factors as 2^3 × 193 × 499. Its 16 positive divisors give a proper-divisor sum of 684,544, so this integer is deficient. The Collatz stopping time is 105 steps.

Prime Factor Structure

Factorization String 2^3 × 193 × 499

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,455,000

Proper Divisor Sum 684,544

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #770449 ← → #770459

Radix Representation

Decimal	770456
Binary	10111100000110011000 (20 bits)
Octal	0o2740630
Hexadecimal	0xBC198

Divisor Catalog (16)

1 2 4 8 193 386 499 772 998 1,544 1,996 3,992 96,307 192,614 385,228 770,456

Collatz Trajectory (105 steps to reach 1)

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

770,456 385,228 192,614 96,307 288,922 144,461 433,384 216,692 108,346 54,173 162,520 81,260 40,630 20,315 60,946 30,473 91,420 45,710 22,855 68,566 34,283 102,850 51,425 154,276 77,138 38,569 115,708 57,854 28,927 86,782 43,391 130,174 65,087 195,262 97,631 292,894 146,447 439,342 219,671 659,014 329,507 988,522 494,261 1,482,784 741,392 370,696 185,348 92,674 46,337 139,012 69,506 34,753 104,260 52,130 26,065 78,196 39,098 19,549 58,648 29,324

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