14,632,002

2 × 3⁵ × 7 × 11 × 17 × 23

14,632,002 factors as 2 × 3^5 × 7 × 11 × 17 × 23. Its 192 positive divisors give a proper-divisor sum of 30,655,422, so this integer is abundant. The Collatz stopping time is 143 steps.

Prime Factor Structure

Factorization String 2 × 3^5 × 7 × 11 × 17 × 23

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 192

Divisor Sum (σ) 45,287,424

Proper Divisor Sum 30,655,422

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #14631989 ← → #14632003

Radix Representation

Decimal	14632002
Binary	110111110100010001000010 (24 bits)
Octal	0o67642102
Hexadecimal	0xDF4442

Divisor Catalog (60 of 192)

1 2 3 6 7 9 11 14 17 18 21 22 23 27 33 34 42 46 51 54 63 66 69 77 81 99 102 119 126 138 153 154 161 162 187 189 198 207 231 238 243 253 297 306 322 357 374 378 391 414 459 462 483 486 506 561 567 594 621 693

Collatz Trajectory (143 steps to reach 1)

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

14,632,002 7,316,001 21,948,004 10,974,002 5,487,001 16,461,004 8,230,502 4,115,251 12,345,754 6,172,877 18,518,632 9,259,316 4,629,658 2,314,829 6,944,488 3,472,244 1,736,122 868,061 2,604,184 1,302,092 651,046 325,523 976,570 488,285 1,464,856 732,428 366,214 183,107 549,322 274,661 823,984 411,992 205,996 102,998 51,499 154,498 77,249 231,748 115,874 57,937 173,812 86,906 43,453 130,360 65,180 32,590 16,295 48,886 24,443 73,330 36,665 109,996 54,998 27,499 82,498 41,249 123,748 61,874 30,937 92,812

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