15,429,400

2³ × 5² × 7 × 103 × 107

15,429,400 factors as 2^3 × 5^2 × 7 × 103 × 107. Its 96 positive divisors give a proper-divisor sum of 26,353,640, so this integer is abundant. The Collatz stopping time is 125 steps.

Prime Factor Structure

Factorization String 2^3 × 5^2 × 7 × 103 × 107

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 41,783,040

Proper Divisor Sum 26,353,640

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #15429391 ← → #15429409

Radix Representation

Decimal	15429400
Binary	111010110110111100011000 (24 bits)
Octal	0o72667430
Hexadecimal	0xEB6F18

Divisor Catalog (60 of 96)

1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 103 107 140 175 200 206 214 280 350 412 428 515 535 700 721 749 824 856 1,030 1,070 1,400 1,442 1,498 2,060 2,140 2,575 2,675 2,884 2,996 3,605 3,745 4,120 4,280 5,150 5,350 5,768 5,992 7,210 7,490 10,300 10,700 11,021 14,420

Collatz Trajectory (125 steps to reach 1)

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

15,429,400 7,714,700 3,857,350 1,928,675 5,786,026 2,893,013 8,679,040 4,339,520 2,169,760 1,084,880 542,440 271,220 135,610 67,805 203,416 101,708 50,854 25,427 76,282 38,141 114,424 57,212 28,606 14,303 42,910 21,455 64,366 32,183 96,550 48,275 144,826 72,413 217,240 108,620 54,310 27,155 81,466 40,733 122,200 61,100 30,550 15,275 45,826 22,913 68,740 34,370 17,185 51,556 25,778 12,889 38,668 19,334 9,667 29,002 14,501 43,504 21,752 10,876 5,438 2,719

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