13,670,832

2⁴ × 3 × 7 × 23 × 29 × 61

13,670,832 factors as 2^4 × 3 × 7 × 23 × 29 × 61. Its 160 positive divisors give a proper-divisor sum of 30,612,048, so this integer is abundant. The Collatz stopping time is 135 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 7 × 23 × 29 × 61

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 160

Divisor Sum (σ) 44,282,880

Proper Divisor Sum 30,612,048

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #13670827 ← → #13670851

Radix Representation

Decimal	13670832
Binary	110100001001100110110000 (24 bits)
Octal	0o64114660
Hexadecimal	0xD099B0

Divisor Catalog (60 of 160)

1 2 3 4 6 7 8 12 14 16 21 23 24 28 29 42 46 48 56 58 61 69 84 87 92 112 116 122 138 161 168 174 183 184 203 232 244 276 322 336 348 366 368 406 427 464 483 488 552 609 644 667 696 732 812 854 966 976 1,104 1,218

Collatz Trajectory (135 steps to reach 1)

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

13,670,832 6,835,416 3,417,708 1,708,854 854,427 2,563,282 1,281,641 3,844,924 1,922,462 961,231 2,883,694 1,441,847 4,325,542 2,162,771 6,488,314 3,244,157 9,732,472 4,866,236 2,433,118 1,216,559 3,649,678 1,824,839 5,474,518 2,737,259 8,211,778 4,105,889 12,317,668 6,158,834 3,079,417 9,238,252 4,619,126 2,309,563 6,928,690 3,464,345 10,393,036 5,196,518 2,598,259 7,794,778 3,897,389 11,692,168 5,846,084 2,923,042 1,461,521 4,384,564 2,192,282 1,096,141 3,288,424 1,644,212 822,106 411,053 1,233,160 616,580 308,290 154,145 462,436 231,218 115,609 346,828 173,414 86,707

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