825,906

2 × 3 × 179 × 769

825,906 factors as 2 × 3 × 179 × 769. Its 16 positive divisors give a proper-divisor sum of 837,294, so this integer is abundant. The Collatz stopping time is 162 steps.

Prime Factor Structure

Factorization String 2 × 3 × 179 × 769

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,663,200

Proper Divisor Sum 837,294

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #825889 ← → #825919

Radix Representation

Decimal	825906
Binary	11001001101000110010 (20 bits)
Octal	0o3115062
Hexadecimal	0xC9A32

Divisor Catalog (16)

1 2 3 6 179 358 537 769 1,074 1,538 2,307 4,614 137,651 275,302 412,953 825,906

Collatz Trajectory (162 steps to reach 1)

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

825,906 412,953 1,238,860 619,430 309,715 929,146 464,573 1,393,720 696,860 348,430 174,215 522,646 261,323 783,970 391,985 1,175,956 587,978 293,989 881,968 440,984 220,492 110,246 55,123 165,370 82,685 248,056 124,028 62,014 31,007 93,022 46,511 139,534 69,767 209,302 104,651 313,954 156,977 470,932 235,466 117,733 353,200 176,600 88,300 44,150 22,075 66,226 33,113 99,340 49,670 24,835 74,506 37,253 111,760 55,880 27,940 13,970 6,985 20,956 10,478 5,239

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