76,844,178

2 × 3² × 173 × 24677

76,844,178 factors as 2 × 3^2 × 173 × 24677. Its 24 positive divisors give a proper-divisor sum of 90,620,730, so this integer is abundant. The Collatz stopping time is 148 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 173 × 24677

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 167,464,908

Proper Divisor Sum 90,620,730

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #76844177 ← → #76844179

Radix Representation

Decimal	76844178
Binary	100100101001000110010010010 (27 bits)
Octal	0o445106222
Hexadecimal	0x4948C92

Divisor Catalog (24)

Collatz Trajectory (148 steps to reach 1)

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

76,844,178 38,422,089 115,266,268 57,633,134 28,816,567 86,449,702 43,224,851 129,674,554 64,837,277 194,511,832 97,255,916 48,627,958 24,313,979 72,941,938 36,470,969 109,412,908 54,706,454 27,353,227 82,059,682 41,029,841 123,089,524 61,544,762 30,772,381 92,317,144 46,158,572 23,079,286 11,539,643 34,618,930 17,309,465 51,928,396 25,964,198 12,982,099 38,946,298 19,473,149 58,419,448 29,209,724 14,604,862 7,302,431 21,907,294 10,953,647 32,860,942 16,430,471 49,291,414 24,645,707 73,937,122 36,968,561 110,905,684 55,452,842 27,726,421 83,179,264 41,589,632 20,794,816 10,397,408 5,198,704 2,599,352 1,299,676 649,838 324,919 974,758 487,379

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