12,633,825

3 × 5² × 168451

12,633,825 factors as 3 × 5^2 × 168451. Its 12 positive divisors give a proper-divisor sum of 8,254,223, so this integer is deficient. The Collatz stopping time is 210 steps.

Prime Factor Structure

Factorization String 3 × 5^2 × 168451

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 20,888,048

Proper Divisor Sum 8,254,223

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #12633823 ← → #12633827

Radix Representation

Decimal	12633825
Binary	110000001100011011100001 (24 bits)
Octal	0o60143341
Hexadecimal	0xC0C6E1

Divisor Catalog (12)

1 3 5 15 25 75 168,451 505,353 842,255 2,526,765 4,211,275 12,633,825

Collatz Trajectory (210 steps to reach 1)

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

12,633,825 37,901,476 18,950,738 9,475,369 28,426,108 14,213,054 7,106,527 21,319,582 10,659,791 31,979,374 15,989,687 47,969,062 23,984,531 71,953,594 35,976,797 107,930,392 53,965,196 26,982,598 13,491,299 40,473,898 20,236,949 60,710,848 30,355,424 15,177,712 7,588,856 3,794,428 1,897,214 948,607 2,845,822 1,422,911 4,268,734 2,134,367 6,403,102 3,201,551 9,604,654 4,802,327 14,406,982 7,203,491 21,610,474 10,805,237 32,415,712 16,207,856 8,103,928 4,051,964 2,025,982 1,012,991 3,038,974 1,519,487 4,558,462 2,279,231 6,837,694 3,418,847 10,256,542 5,128,271 15,384,814 7,692,407 23,077,222 11,538,611 34,615,834 17,307,917

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