7,572,525

3 × 5² × 31 × 3257

7,572,525 factors as 3 × 5^2 × 31 × 3257. Its 24 positive divisors give a proper-divisor sum of 5,355,219, so this integer is deficient. The Collatz stopping time is 204 steps.

Prime Factor Structure

Factorization String 3 × 5^2 × 31 × 3257

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 12,927,744

Proper Divisor Sum 5,355,219

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #7572503 ← → #7572529

Radix Representation

Decimal	7572525
Binary	11100111000110000101101 (23 bits)
Octal	0o34706055
Hexadecimal	0x738C2D

Divisor Catalog (24)

1 3 5 15 25 31 75 93 155 465 775 2,325 3,257 9,771 16,285 48,855 81,425 100,967 244,275 302,901 504,835 1,514,505 2,524,175 7,572,525

Collatz Trajectory (204 steps to reach 1)

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

7,572,525 22,717,576 11,358,788 5,679,394 2,839,697 8,519,092 4,259,546 2,129,773 6,389,320 3,194,660 1,597,330 798,665 2,395,996 1,197,998 598,999 1,796,998 898,499 2,695,498 1,347,749 4,043,248 2,021,624 1,010,812 505,406 252,703 758,110 379,055 1,137,166 568,583 1,705,750 852,875 2,558,626 1,279,313 3,837,940 1,918,970 959,485 2,878,456 1,439,228 719,614 359,807 1,079,422 539,711 1,619,134 809,567 2,428,702 1,214,351 3,643,054 1,821,527 5,464,582 2,732,291 8,196,874 4,098,437 12,295,312 6,147,656 3,073,828 1,536,914 768,457 2,305,372 1,152,686 576,343 1,729,030

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