767,445

3 × 5 × 7 × 7309

767,445 factors as 3 × 5 × 7 × 7309. Its 16 positive divisors give a proper-divisor sum of 636,075, so this integer is deficient. The Collatz stopping time is 87 steps.

Prime Factor Structure

Factorization String 3 × 5 × 7 × 7309

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,403,520

Proper Divisor Sum 636,075

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #767443 ← → #767471

Radix Representation

Decimal	767445
Binary	10111011010111010101 (20 bits)
Octal	0o2732725
Hexadecimal	0xBB5D5

Divisor Catalog (16)

1 3 5 7 15 21 35 105 7,309 21,927 36,545 51,163 109,635 153,489 255,815 767,445

Collatz Trajectory (87 steps to reach 1)

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

767,445 2,302,336 1,151,168 575,584 287,792 143,896 71,948 35,974 17,987 53,962 26,981 80,944 40,472 20,236 10,118 5,059 15,178 7,589 22,768 11,384 5,692 2,846 1,423 4,270 2,135 6,406 3,203 9,610 4,805 14,416 7,208 3,604 1,802 901 2,704 1,352 676 338 169 508 254 127 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820

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