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Atlas › Integer Profiles › Node 53,407,336

53,407,336

23 × 17 × 71 × 5531
Abundant Even Composite

53,407,336 factors as 2^3 × 17 × 71 × 5531. Its 32 positive divisors give a proper-divisor sum of 54,134,744, so this integer is abundant. The Collatz stopping time is 88 steps.

Prime Factor Structure

Factorization String 2^3 × 17 × 71 × 5531
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 107,542,080
Proper Divisor Sum 54,134,744
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #53407307 ← → #53407339

Radix Representation

Decimal 53407336
Binary 11001011101110111001101000 (26 bits)
Octal 0o313567150
Hexadecimal 0x32EEE68

Divisor Catalog (32)

1 2 4 8 17 34 68 71 136 142 284 568 1,207 2,414 4,828 5,531 9,656 11,062 22,124 44,248 94,027 188,054 376,108 392,701 752,216 785,402 1,570,804 3,141,608 6,675,917 13,351,834 26,703,668 53,407,336

Collatz Trajectory (88 steps to reach 1)

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

53,407,336 26,703,668 13,351,834 6,675,917 20,027,752 10,013,876 5,006,938 2,503,469 7,510,408 3,755,204 1,877,602 938,801 2,816,404 1,408,202 704,101 2,112,304 1,056,152 528,076 264,038 132,019 396,058 198,029 594,088 297,044 148,522 74,261 222,784 111,392 55,696 27,848 13,924 6,962 3,481 10,444 5,222 2,611 7,834 3,917 11,752 5,876 2,938 1,469 4,408 2,204 1,102 551 1,654 827 2,482 1,241 3,724 1,862 931 2,794 1,397 4,192 2,096 1,048 524 262

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