76,762,016

2⁵ × 1439 × 1667

76,762,016 factors as 2^5 × 1439 × 1667. Its 24 positive divisors give a proper-divisor sum of 74,558,944, so this integer is deficient. The Collatz stopping time is 104 steps.

Prime Factor Structure

Factorization String 2^5 × 1439 × 1667

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 151,320,960

Proper Divisor Sum 74,558,944

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #76762001 ← → #76762019

Radix Representation

Decimal	76762016
Binary	100100100110100101110100000 (27 bits)
Octal	0o444645640
Hexadecimal	0x4934BA0

Divisor Catalog (24)

Collatz Trajectory (104 steps to reach 1)

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

76,762,016 38,381,008 19,190,504 9,595,252 4,797,626 2,398,813 7,196,440 3,598,220 1,799,110 899,555 2,698,666 1,349,333 4,048,000 2,024,000 1,012,000 506,000 253,000 126,500 63,250 31,625 94,876 47,438 23,719 71,158 35,579 106,738 53,369 160,108 80,054 40,027 120,082 60,041 180,124 90,062 45,031 135,094 67,547 202,642 101,321 303,964 151,982 75,991 227,974 113,987 341,962 170,981 512,944 256,472 128,236 64,118 32,059 96,178 48,089 144,268 72,134 36,067 108,202 54,101 162,304 81,152

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