761,676

2² × 3 × 63473

761,676 factors as 2^2 × 3 × 63473. Its 12 positive divisors give a proper-divisor sum of 1,015,596, so this integer is abundant. The Collatz stopping time is 224 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 63473

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,777,272

Proper Divisor Sum 1,015,596

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #761671 ← → #761681

Radix Representation

Decimal	761676
Binary	10111001111101001100 (20 bits)
Octal	0o2717514
Hexadecimal	0xB9F4C

Divisor Catalog (12)

1 2 3 4 6 12 63,473 126,946 190,419 253,892 380,838 761,676

Collatz Trajectory (224 steps to reach 1)

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

761,676 380,838 190,419 571,258 285,629 856,888 428,444 214,222 107,111 321,334 160,667 482,002 241,001 723,004 361,502 180,751 542,254 271,127 813,382 406,691 1,220,074 610,037 1,830,112 915,056 457,528 228,764 114,382 57,191 171,574 85,787 257,362 128,681 386,044 193,022 96,511 289,534 144,767 434,302 217,151 651,454 325,727 977,182 488,591 1,465,774 732,887 2,198,662 1,099,331 3,297,994 1,648,997 4,946,992 2,473,496 1,236,748 618,374 309,187 927,562 463,781 1,391,344 695,672 347,836 173,918

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