7,512,325

5² × 300493

7,512,325 factors as 5^2 × 300493. Its 6 positive divisors give a proper-divisor sum of 1,802,989, so this integer is deficient. The Collatz stopping time is 292 steps.

Prime Factor Structure

Factorization String 5^2 × 300493

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 9,315,314

Proper Divisor Sum 1,802,989

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #7512319 ← → #7512343

Radix Representation

Decimal	7512325
Binary	11100101010000100000101 (23 bits)
Octal	0o34520405
Hexadecimal	0x72A105

Divisor Catalog (6)

1 5 25 300,493 1,502,465 7,512,325

Collatz Trajectory (292 steps to reach 1)

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

7,512,325 22,536,976 11,268,488 5,634,244 2,817,122 1,408,561 4,225,684 2,112,842 1,056,421 3,169,264 1,584,632 792,316 396,158 198,079 594,238 297,119 891,358 445,679 1,337,038 668,519 2,005,558 1,002,779 3,008,338 1,504,169 4,512,508 2,256,254 1,128,127 3,384,382 1,692,191 5,076,574 2,538,287 7,614,862 3,807,431 11,422,294 5,711,147 17,133,442 8,566,721 25,700,164 12,850,082 6,425,041 19,275,124 9,637,562 4,818,781 14,456,344 7,228,172 3,614,086 1,807,043 5,421,130 2,710,565 8,131,696 4,065,848 2,032,924 1,016,462 508,231 1,524,694 762,347 2,287,042 1,143,521 3,430,564 1,715,282

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