772,815

3 × 5 × 51521

772,815 factors as 3 × 5 × 51521. Its 8 positive divisors give a proper-divisor sum of 463,713, so this integer is deficient. The Collatz stopping time is 100 steps.

Prime Factor Structure

Factorization String 3 × 5 × 51521

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,236,528

Proper Divisor Sum 463,713

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #772789 ← → #772843

Radix Representation

Decimal	772815
Binary	10111100101011001111 (20 bits)
Octal	0o2745317
Hexadecimal	0xBCACF

Divisor Catalog (8)

1 3 5 15 51,521 154,563 257,605 772,815

Collatz Trajectory (100 steps to reach 1)

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

772,815 2,318,446 1,159,223 3,477,670 1,738,835 5,216,506 2,608,253 7,824,760 3,912,380 1,956,190 978,095 2,934,286 1,467,143 4,401,430 2,200,715 6,602,146 3,301,073 9,903,220 4,951,610 2,475,805 7,427,416 3,713,708 1,856,854 928,427 2,785,282 1,392,641 4,177,924 2,088,962 1,044,481 3,133,444 1,566,722 783,361 2,350,084 1,175,042 587,521 1,762,564 881,282 440,641 1,321,924 660,962 330,481 991,444 495,722 247,861 743,584 371,792 185,896 92,948 46,474 23,237 69,712 34,856 17,428 8,714 4,357 13,072 6,536 3,268 1,634 817

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