7,900,125

3 × 5³ × 21067

7,900,125 is odd and not a perfect square. Its factorization is 3 × 5^3 × 21067 and its 16 divisors sum to 13,146,432.

Prime Factor Structure

Factorization String 3 × 5^3 × 21067

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 13,146,432

Proper Divisor Sum 5,246,307

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #7900117 ← → #7900163

Radix Representation

Decimal	7900125
Binary	11110001000101111011101 (23 bits)
Octal	0o36105735
Hexadecimal	0x788BDD

Divisor Catalog (16)

1 3 5 15 25 75 125 375 21,067 63,201 105,335 316,005 526,675 1,580,025 2,633,375 7,900,125

Collatz Trajectory (124 steps to reach 1)

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

7,900,125 23,700,376 11,850,188 5,925,094 2,962,547 8,887,642 4,443,821 13,331,464 6,665,732 3,332,866 1,666,433 4,999,300 2,499,650 1,249,825 3,749,476 1,874,738 937,369 2,812,108 1,406,054 703,027 2,109,082 1,054,541 3,163,624 1,581,812 790,906 395,453 1,186,360 593,180 296,590 148,295 444,886 222,443 667,330 333,665 1,000,996 500,498 250,249 750,748 375,374 187,687 563,062 281,531 844,594 422,297 1,266,892 633,446 316,723 950,170 475,085 1,425,256 712,628 356,314 178,157 534,472 267,236 133,618 66,809 200,428 100,214 50,107

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