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Atlas › Integer Profiles › Node 54,565,472

54,565,472

25 × 13 × 29 × 4523
Abundant Even Composite

54,565,472 factors as 2^5 × 13 × 29 × 4523. Its 48 positive divisors give a proper-divisor sum of 65,139,568, so this integer is abundant. The Collatz stopping time is 217 steps.

Prime Factor Structure

Factorization String 2^5 × 13 × 29 × 4523
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 119,705,040
Proper Divisor Sum 65,139,568
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #54565471 ← → #54565477

Radix Representation

Decimal 54565472
Binary 11010000001001101001100000 (26 bits)
Octal 0o320115140
Hexadecimal 0x3409A60

Divisor Catalog (48)

1 2 4 8 13 16 26 29 32 52 58 104 116 208 232 377 416 464 754 928 1,508 3,016 4,523 6,032 9,046 12,064 18,092 36,184 58,799 72,368 117,598 131,167 144,736 235,196 262,334 470,392 524,668 940,784 1,049,336 1,705,171 1,881,568 2,098,672 3,410,342 4,197,344 6,820,684 13,641,368 27,282,736 54,565,472

Collatz Trajectory (217 steps to reach 1)

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

54,565,472 27,282,736 13,641,368 6,820,684 3,410,342 1,705,171 5,115,514 2,557,757 7,673,272 3,836,636 1,918,318 959,159 2,877,478 1,438,739 4,316,218 2,158,109 6,474,328 3,237,164 1,618,582 809,291 2,427,874 1,213,937 3,641,812 1,820,906 910,453 2,731,360 1,365,680 682,840 341,420 170,710 85,355 256,066 128,033 384,100 192,050 96,025 288,076 144,038 72,019 216,058 108,029 324,088 162,044 81,022 40,511 121,534 60,767 182,302 91,151 273,454 136,727 410,182 205,091 615,274 307,637 922,912 461,456 230,728 115,364 57,682

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