13,507,400

2³ × 5² × 67537

13,507,400 factors as 2^3 × 5^2 × 67537. Its 24 positive divisors give a proper-divisor sum of 17,897,770, so this integer is abundant. The Collatz stopping time is 360 steps.

Prime Factor Structure

Factorization String 2^3 × 5^2 × 67537

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 31,405,170

Proper Divisor Sum 17,897,770

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #13507399 ← → #13507411

Radix Representation

Decimal	13507400
Binary	110011100001101101001000 (24 bits)
Octal	0o63415510
Hexadecimal	0xCE1B48

Divisor Catalog (24)

Collatz Trajectory (360 steps to reach 1)

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

13,507,400 6,753,700 3,376,850 1,688,425 5,065,276 2,532,638 1,266,319 3,798,958 1,899,479 5,698,438 2,849,219 8,547,658 4,273,829 12,821,488 6,410,744 3,205,372 1,602,686 801,343 2,404,030 1,202,015 3,606,046 1,803,023 5,409,070 2,704,535 8,113,606 4,056,803 12,170,410 6,085,205 18,255,616 9,127,808 4,563,904 2,281,952 1,140,976 570,488 285,244 142,622 71,311 213,934 106,967 320,902 160,451 481,354 240,677 722,032 361,016 180,508 90,254 45,127 135,382 67,691 203,074 101,537 304,612 152,306 76,153 228,460 114,230 57,115 171,346 85,673

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