76,754,756

2² × 13 × 19 × 77687

76,754,756 factors as 2^2 × 13 × 19 × 77687. Its 24 positive divisors give a proper-divisor sum of 75,513,724, so this integer is deficient. The Collatz stopping time is 259 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 19 × 77687

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 152,268,480

Proper Divisor Sum 75,513,724

Digit Sum / Digital Root 47 (Root: 2)

Adjacent Primes #76754707 ← → #76754767

Radix Representation

Decimal	76754756
Binary	100100100110010111101000100 (27 bits)
Octal	0o444627504
Hexadecimal	0x4932F44

Divisor Catalog (24)

Collatz Trajectory (259 steps to reach 1)

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

76,754,756 38,377,378 19,188,689 57,566,068 28,783,034 14,391,517 43,174,552 21,587,276 10,793,638 5,396,819 16,190,458 8,095,229 24,285,688 12,142,844 6,071,422 3,035,711 9,107,134 4,553,567 13,660,702 6,830,351 20,491,054 10,245,527 30,736,582 15,368,291 46,104,874 23,052,437 69,157,312 34,578,656 17,289,328 8,644,664 4,322,332 2,161,166 1,080,583 3,241,750 1,620,875 4,862,626 2,431,313 7,293,940 3,646,970 1,823,485 5,470,456 2,735,228 1,367,614 683,807 2,051,422 1,025,711 3,077,134 1,538,567 4,615,702 2,307,851 6,923,554 3,461,777 10,385,332 5,192,666 2,596,333 7,789,000 3,894,500 1,947,250 973,625 2,920,876

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