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Atlas › Integer Profiles › Node 13,696,816

13,696,816

24 × 7 × 29 × 4217
Abundant Even Composite

13,696,816 factors as 2^4 × 7 × 29 × 4217. Its 40 positive divisors give a proper-divisor sum of 17,685,104, so this integer is abundant. The Collatz stopping time is 285 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 29 × 4217
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 31,381,920
Proper Divisor Sum 17,685,104
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #13696789 ← → #13696817

Radix Representation

Decimal 13696816
Binary 110100001111111100110000 (24 bits)
Octal 0o64177460
Hexadecimal 0xD0FF30

Divisor Catalog (40)

1 2 4 7 8 14 16 28 29 56 58 112 116 203 232 406 464 812 1,624 3,248 4,217 8,434 16,868 29,519 33,736 59,038 67,472 118,076 122,293 236,152 244,586 472,304 489,172 856,051 978,344 1,712,102 1,956,688 3,424,204 6,848,408 13,696,816

Collatz Trajectory (285 steps to reach 1)

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

13,696,816 6,848,408 3,424,204 1,712,102 856,051 2,568,154 1,284,077 3,852,232 1,926,116 963,058 481,529 1,444,588 722,294 361,147 1,083,442 541,721 1,625,164 812,582 406,291 1,218,874 609,437 1,828,312 914,156 457,078 228,539 685,618 342,809 1,028,428 514,214 257,107 771,322 385,661 1,156,984 578,492 289,246 144,623 433,870 216,935 650,806 325,403 976,210 488,105 1,464,316 732,158 366,079 1,098,238 549,119 1,647,358 823,679 2,471,038 1,235,519 3,706,558 1,853,279 5,559,838 2,779,919 8,339,758 4,169,879 12,509,638 6,254,819 18,764,458

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