76,356,964

2² × 23 × 829967

76,356,964 factors as 2^2 × 23 × 829967. Its 12 positive divisors give a proper-divisor sum of 63,077,660, so this integer is deficient. The Collatz stopping time is 109 steps.

Prime Factor Structure

Factorization String 2^2 × 23 × 829967

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 139,434,624

Proper Divisor Sum 63,077,660

Digit Sum / Digital Root 46 (Root: 1)

Adjacent Primes #76356899 ← → #76356967

Radix Representation

Decimal	76356964
Binary	100100011010001110101100100 (27 bits)
Octal	0o443216544
Hexadecimal	0x48D1D64

Divisor Catalog (12)

1 2 4 23 46 92 829,967 1,659,934 3,319,868 19,089,241 38,178,482 76,356,964

Collatz Trajectory (109 steps to reach 1)

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

76,356,964 38,178,482 19,089,241 57,267,724 28,633,862 14,316,931 42,950,794 21,475,397 64,426,192 32,213,096 16,106,548 8,053,274 4,026,637 12,079,912 6,039,956 3,019,978 1,509,989 4,529,968 2,264,984 1,132,492 566,246 283,123 849,370 424,685 1,274,056 637,028 318,514 159,257 477,772 238,886 119,443 358,330 179,165 537,496 268,748 134,374 67,187 201,562 100,781 302,344 151,172 75,586 37,793 113,380 56,690 28,345 85,036 42,518 21,259 63,778 31,889 95,668 47,834 23,917 71,752 35,876 17,938 8,969 26,908 13,454

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