77,259,716

2² × 2003 × 9643

77,259,716 factors as 2^2 × 2003 × 9643. Its 12 positive divisors give a proper-divisor sum of 58,026,316, so this integer is deficient. The Collatz stopping time is 166 steps.

Prime Factor Structure

Factorization String 2^2 × 2003 × 9643

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 135,286,032

Proper Divisor Sum 58,026,316

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #77259673 ← → #77259731

Radix Representation

Decimal	77259716
Binary	100100110101110001111000100 (27 bits)
Octal	0o446561704
Hexadecimal	0x49AE3C4

Divisor Catalog (12)

1 2 4 2,003 4,006 8,012 9,643 19,286 38,572 19,314,929 38,629,858 77,259,716

Collatz Trajectory (166 steps to reach 1)

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

77,259,716 38,629,858 19,314,929 57,944,788 28,972,394 14,486,197 43,458,592 21,729,296 10,864,648 5,432,324 2,716,162 1,358,081 4,074,244 2,037,122 1,018,561 3,055,684 1,527,842 763,921 2,291,764 1,145,882 572,941 1,718,824 859,412 429,706 214,853 644,560 322,280 161,140 80,570 40,285 120,856 60,428 30,214 15,107 45,322 22,661 67,984 33,992 16,996 8,498 4,249 12,748 6,374 3,187 9,562 4,781 14,344 7,172 3,586 1,793 5,380 2,690 1,345 4,036 2,018 1,009 3,028 1,514 757 2,272

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