76,088,752

2⁴ × 1873 × 2539

76,088,752 factors as 2^4 × 1873 × 2539. Its 20 positive divisors give a proper-divisor sum of 71,470,008, so this integer is deficient. The Collatz stopping time is 241 steps.

Prime Factor Structure

Factorization String 2^4 × 1873 × 2539

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 147,558,760

Proper Divisor Sum 71,470,008

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #76088741 ← → #76088759

Radix Representation

Decimal	76088752
Binary	100100010010000010110110000 (27 bits)
Octal	0o442202660
Hexadecimal	0x48905B0

Divisor Catalog (20)

Collatz Trajectory (241 steps to reach 1)

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

76,088,752 38,044,376 19,022,188 9,511,094 4,755,547 14,266,642 7,133,321 21,399,964 10,699,982 5,349,991 16,049,974 8,024,987 24,074,962 12,037,481 36,112,444 18,056,222 9,028,111 27,084,334 13,542,167 40,626,502 20,313,251 60,939,754 30,469,877 91,409,632 45,704,816 22,852,408 11,426,204 5,713,102 2,856,551 8,569,654 4,284,827 12,854,482 6,427,241 19,281,724 9,640,862 4,820,431 14,461,294 7,230,647 21,691,942 10,845,971 32,537,914 16,268,957 48,806,872 24,403,436 12,201,718 6,100,859 18,302,578 9,151,289 27,453,868 13,726,934 6,863,467 20,590,402 10,295,201 30,885,604 15,442,802 7,721,401 23,164,204 11,582,102 5,791,051 17,373,154

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