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Atlas › Integer Profiles › Node 5,100,784

5,100,784

24 × 13 × 137 × 179
Abundant Even Composite

5,100,784 factors as 2^4 × 13 × 137 × 179. Its 40 positive divisors give a proper-divisor sum of 5,679,776, so this integer is abundant. The Collatz stopping time is 188 steps.

Prime Factor Structure

Factorization String 2^4 × 13 × 137 × 179
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 10,780,560
Proper Divisor Sum 5,679,776
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #5100763 ← → #5100791

Radix Representation

Decimal 5100784
Binary 10011011101010011110000 (23 bits)
Octal 0o23352360
Hexadecimal 0x4DD4F0

Divisor Catalog (40)

1 2 4 8 13 16 26 52 104 137 179 208 274 358 548 716 1,096 1,432 1,781 2,192 2,327 2,864 3,562 4,654 7,124 9,308 14,248 18,616 24,523 28,496 37,232 49,046 98,092 196,184 318,799 392,368 637,598 1,275,196 2,550,392 5,100,784

Collatz Trajectory (188 steps to reach 1)

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

5,100,784 2,550,392 1,275,196 637,598 318,799 956,398 478,199 1,434,598 717,299 2,151,898 1,075,949 3,227,848 1,613,924 806,962 403,481 1,210,444 605,222 302,611 907,834 453,917 1,361,752 680,876 340,438 170,219 510,658 255,329 765,988 382,994 191,497 574,492 287,246 143,623 430,870 215,435 646,306 323,153 969,460 484,730 242,365 727,096 363,548 181,774 90,887 272,662 136,331 408,994 204,497 613,492 306,746 153,373 460,120 230,060 115,030 57,515 172,546 86,273 258,820 129,410 64,705 194,116

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