7,625,075

5² × 23 × 89 × 149

7,625,075 factors as 5^2 × 23 × 89 × 149. Its 24 positive divisors give a proper-divisor sum of 2,418,925, so this integer is deficient. The Collatz stopping time is 155 steps.

Prime Factor Structure

Factorization String 5^2 × 23 × 89 × 149

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 10,044,000

Proper Divisor Sum 2,418,925

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #7625041 ← → #7625077

Radix Representation

Decimal	7625075
Binary	11101000101100101110011 (23 bits)
Octal	0o35054563
Hexadecimal	0x745973

Divisor Catalog (24)

Collatz Trajectory (155 steps to reach 1)

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

7,625,075 22,875,226 11,437,613 34,312,840 17,156,420 8,578,210 4,289,105 12,867,316 6,433,658 3,216,829 9,650,488 4,825,244 2,412,622 1,206,311 3,618,934 1,809,467 5,428,402 2,714,201 8,142,604 4,071,302 2,035,651 6,106,954 3,053,477 9,160,432 4,580,216 2,290,108 1,145,054 572,527 1,717,582 858,791 2,576,374 1,288,187 3,864,562 1,932,281 5,796,844 2,898,422 1,449,211 4,347,634 2,173,817 6,521,452 3,260,726 1,630,363 4,891,090 2,445,545 7,336,636 3,668,318 1,834,159 5,502,478 2,751,239 8,253,718 4,126,859 12,380,578 6,190,289 18,570,868 9,285,434 4,642,717 13,928,152 6,964,076 3,482,038 1,741,019

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