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Atlas › Integer Profiles › Node 5,008,696

5,008,696

23 × 7 × 11 × 47 × 173
Abundant Even Composite

5,008,696 factors as 2^3 × 7 × 11 × 47 × 173. Its 64 positive divisors give a proper-divisor sum of 7,018,184, so this integer is abundant. The Collatz stopping time is 175 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 11 × 47 × 173
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 12,026,880
Proper Divisor Sum 7,018,184
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #5008681 ← → #5008697

Radix Representation

Decimal 5008696
Binary 10011000110110100111000 (23 bits)
Octal 0o23066470
Hexadecimal 0x4C6D38

Divisor Catalog (60 of 64)

1 2 4 7 8 11 14 22 28 44 47 56 77 88 94 154 173 188 308 329 346 376 517 616 658 692 1,034 1,211 1,316 1,384 1,903 2,068 2,422 2,632 3,619 3,806 4,136 4,844 7,238 7,612 8,131 9,688 13,321 14,476 15,224 16,262 26,642 28,952 32,524 53,284 56,917 65,048 89,441 106,568 113,834 178,882 227,668 357,764 455,336 626,087

Collatz Trajectory (175 steps to reach 1)

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

5,008,696 2,504,348 1,252,174 626,087 1,878,262 939,131 2,817,394 1,408,697 4,226,092 2,113,046 1,056,523 3,169,570 1,584,785 4,754,356 2,377,178 1,188,589 3,565,768 1,782,884 891,442 445,721 1,337,164 668,582 334,291 1,002,874 501,437 1,504,312 752,156 376,078 188,039 564,118 282,059 846,178 423,089 1,269,268 634,634 317,317 951,952 475,976 237,988 118,994 59,497 178,492 89,246 44,623 133,870 66,935 200,806 100,403 301,210 150,605 451,816 225,908 112,954 56,477 169,432 84,716 42,358 21,179 63,538 31,769

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