765,604

2² × 7 × 37 × 739

765,604 factors as 2^2 × 7 × 37 × 739. Its 24 positive divisors give a proper-divisor sum of 809,116, so this integer is abundant. The Collatz stopping time is 118 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 37 × 739

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,574,720

Proper Divisor Sum 809,116

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #765587 ← → #765613

Radix Representation

Decimal	765604
Binary	10111010111010100100 (20 bits)
Octal	0o2727244
Hexadecimal	0xBAEA4

Divisor Catalog (24)

1 2 4 7 14 28 37 74 148 259 518 739 1,036 1,478 2,956 5,173 10,346 20,692 27,343 54,686 109,372 191,401 382,802 765,604

Collatz Trajectory (118 steps to reach 1)

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

765,604 382,802 191,401 574,204 287,102 143,551 430,654 215,327 645,982 322,991 968,974 484,487 1,453,462 726,731 2,180,194 1,090,097 3,270,292 1,635,146 817,573 2,452,720 1,226,360 613,180 306,590 153,295 459,886 229,943 689,830 344,915 1,034,746 517,373 1,552,120 776,060 388,030 194,015 582,046 291,023 873,070 436,535 1,309,606 654,803 1,964,410 982,205 2,946,616 1,473,308 736,654 368,327 1,104,982 552,491 1,657,474 828,737 2,486,212 1,243,106 621,553 1,864,660 932,330 466,165 1,398,496 699,248 349,624 174,812

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