776,868

2² × 3 × 41 × 1579

776,868 factors as 2^2 × 3 × 41 × 1579. Its 24 positive divisors give a proper-divisor sum of 1,081,212, so this integer is abundant. The Collatz stopping time is 131 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 41 × 1579

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,858,080

Proper Divisor Sum 1,081,212

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #776861 ← → #776869

Radix Representation

Decimal	776868
Binary	10111101101010100100 (20 bits)
Octal	0o2755244
Hexadecimal	0xBDAA4

Divisor Catalog (24)

1 2 3 4 6 12 41 82 123 164 246 492 1,579 3,158 4,737 6,316 9,474 18,948 64,739 129,478 194,217 258,956 388,434 776,868

Collatz Trajectory (131 steps to reach 1)

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

776,868 388,434 194,217 582,652 291,326 145,663 436,990 218,495 655,486 327,743 983,230 491,615 1,474,846 737,423 2,212,270 1,106,135 3,318,406 1,659,203 4,977,610 2,488,805 7,466,416 3,733,208 1,866,604 933,302 466,651 1,399,954 699,977 2,099,932 1,049,966 524,983 1,574,950 787,475 2,362,426 1,181,213 3,543,640 1,771,820 885,910 442,955 1,328,866 664,433 1,993,300 996,650 498,325 1,494,976 747,488 373,744 186,872 93,436 46,718 23,359 70,078 35,039 105,118 52,559 157,678 78,839 236,518 118,259 354,778 177,389

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