75,729,004

2² × 13 × 131 × 11117

75,729,004 factors as 2^2 × 13 × 131 × 11117. Its 24 positive divisors give a proper-divisor sum of 68,093,444, so this integer is deficient. The Collatz stopping time is 210 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 131 × 11117

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 143,822,448

Proper Divisor Sum 68,093,444

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #75728981 ← → #75729019

Radix Representation

Decimal	75729004
Binary	100100000111000100001101100 (27 bits)
Octal	0o440704154
Hexadecimal	0x483886C

Divisor Catalog (24)

Collatz Trajectory (210 steps to reach 1)

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

75,729,004 37,864,502 18,932,251 56,796,754 28,398,377 85,195,132 42,597,566 21,298,783 63,896,350 31,948,175 95,844,526 47,922,263 143,766,790 71,883,395 215,650,186 107,825,093 323,475,280 161,737,640 80,868,820 40,434,410 20,217,205 60,651,616 30,325,808 15,162,904 7,581,452 3,790,726 1,895,363 5,686,090 2,843,045 8,529,136 4,264,568 2,132,284 1,066,142 533,071 1,599,214 799,607 2,398,822 1,199,411 3,598,234 1,799,117 5,397,352 2,698,676 1,349,338 674,669 2,024,008 1,012,004 506,002 253,001 759,004 379,502 189,751 569,254 284,627 853,882 426,941 1,280,824 640,412 320,206 160,103 480,310

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