856,524

2² × 3 × 137 × 521

856,524 factors as 2^2 × 3 × 137 × 521. Its 24 positive divisors give a proper-divisor sum of 1,160,484, so this integer is abundant. The Collatz stopping time is 294 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 137 × 521

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 2,017,008

Proper Divisor Sum 1,160,484

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #856519 ← → #856529

Radix Representation

Decimal	856524
Binary	11010001000111001100 (20 bits)
Octal	0o3210714
Hexadecimal	0xD11CC

Divisor Catalog (24)

Collatz Trajectory (294 steps to reach 1)

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

856,524 428,262 214,131 642,394 321,197 963,592 481,796 240,898 120,449 361,348 180,674 90,337 271,012 135,506 67,753 203,260 101,630 50,815 152,446 76,223 228,670 114,335 343,006 171,503 514,510 257,255 771,766 385,883 1,157,650 578,825 1,736,476 868,238 434,119 1,302,358 651,179 1,953,538 976,769 2,930,308 1,465,154 732,577 2,197,732 1,098,866 549,433 1,648,300 824,150 412,075 1,236,226 618,113 1,854,340 927,170 463,585 1,390,756 695,378 347,689 1,043,068 521,534 260,767 782,302 391,151 1,173,454

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