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Atlas › Integer Profiles › Node 5,263,232

5,263,232

27 × 13 × 3163
Abundant Even Composite

5,263,232 factors as 2^7 × 13 × 3163. Its 32 positive divisors give a proper-divisor sum of 6,032,248, so this integer is abundant. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 2^7 × 13 × 3163
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 11,295,480
Proper Divisor Sum 6,032,248
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #5263229 ← → #5263241

Radix Representation

Decimal 5263232
Binary 10100000100111110000000 (23 bits)
Octal 0o24047600
Hexadecimal 0x504F80

Divisor Catalog (32)

1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1,664 3,163 6,326 12,652 25,304 41,119 50,608 82,238 101,216 164,476 202,432 328,952 404,864 657,904 1,315,808 2,631,616 5,263,232

Collatz Trajectory (149 steps to reach 1)

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

5,263,232 2,631,616 1,315,808 657,904 328,952 164,476 82,238 41,119 123,358 61,679 185,038 92,519 277,558 138,779 416,338 208,169 624,508 312,254 156,127 468,382 234,191 702,574 351,287 1,053,862 526,931 1,580,794 790,397 2,371,192 1,185,596 592,798 296,399 889,198 444,599 1,333,798 666,899 2,000,698 1,000,349 3,001,048 1,500,524 750,262 375,131 1,125,394 562,697 1,688,092 844,046 422,023 1,266,070 633,035 1,899,106 949,553 2,848,660 1,424,330 712,165 2,136,496 1,068,248 534,124 267,062 133,531 400,594 200,297

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