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Atlas › Integer Profiles › Node 55,464,370

55,464,370

2 × 5 × 13 × 17 × 25097
Abundant Even Composite

55,464,370 factors as 2 × 5 × 13 × 17 × 25097. Its 32 positive divisors give a proper-divisor sum of 58,380,158, so this integer is abundant. The Collatz stopping time is 132 steps.

Prime Factor Structure

Factorization String 2 × 5 × 13 × 17 × 25097
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 113,844,528
Proper Divisor Sum 58,380,158
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #55464347 ← → #55464377

Radix Representation

Decimal 55464370
Binary 11010011100101000110110010 (26 bits)
Octal 0o323450662
Hexadecimal 0x34E51B2

Divisor Catalog (32)

1 2 5 10 13 17 26 34 65 85 130 170 221 442 1,105 2,210 25,097 50,194 125,485 250,970 326,261 426,649 652,522 853,298 1,631,305 2,133,245 3,262,610 4,266,490 5,546,437 11,092,874 27,732,185 55,464,370

Collatz Trajectory (132 steps to reach 1)

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

55,464,370 27,732,185 83,196,556 41,598,278 20,799,139 62,397,418 31,198,709 93,596,128 46,798,064 23,399,032 11,699,516 5,849,758 2,924,879 8,774,638 4,387,319 13,161,958 6,580,979 19,742,938 9,871,469 29,614,408 14,807,204 7,403,602 3,701,801 11,105,404 5,552,702 2,776,351 8,329,054 4,164,527 12,493,582 6,246,791 18,740,374 9,370,187 28,110,562 14,055,281 42,165,844 21,082,922 10,541,461 31,624,384 15,812,192 7,906,096 3,953,048 1,976,524 988,262 494,131 1,482,394 741,197 2,223,592 1,111,796 555,898 277,949 833,848 416,924 208,462 104,231 312,694 156,347 469,042 234,521 703,564 351,782

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