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Atlas › Integer Profiles › Node 54,850,810

54,850,810

2 × 5 × 7 × 487 × 1609
Abundant Even Composite

54,850,810 factors as 2 × 5 × 7 × 487 × 1609. Its 32 positive divisors give a proper-divisor sum of 58,287,110, so this integer is abundant. The Collatz stopping time is 287 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 487 × 1609
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 113,137,920
Proper Divisor Sum 58,287,110
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #54850801 ← → #54850841

Radix Representation

Decimal 54850810
Binary 11010001001111010011111010 (26 bits)
Octal 0o321172372
Hexadecimal 0x344F4FA

Divisor Catalog (32)

1 2 5 7 10 14 35 70 487 974 1,609 2,435 3,218 3,409 4,870 6,818 8,045 11,263 16,090 17,045 22,526 34,090 56,315 112,630 783,583 1,567,166 3,917,915 5,485,081 7,835,830 10,970,162 27,425,405 54,850,810

Collatz Trajectory (287 steps to reach 1)

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

54,850,810 27,425,405 82,276,216 41,138,108 20,569,054 10,284,527 30,853,582 15,426,791 46,280,374 23,140,187 69,420,562 34,710,281 104,130,844 52,065,422 26,032,711 78,098,134 39,049,067 117,147,202 58,573,601 175,720,804 87,860,402 43,930,201 131,790,604 65,895,302 32,947,651 98,842,954 49,421,477 148,264,432 74,132,216 37,066,108 18,533,054 9,266,527 27,799,582 13,899,791 41,699,374 20,849,687 62,549,062 31,274,531 93,823,594 46,911,797 140,735,392 70,367,696 35,183,848 17,591,924 8,795,962 4,397,981 13,193,944 6,596,972 3,298,486 1,649,243 4,947,730 2,473,865 7,421,596 3,710,798 1,855,399 5,566,198 2,783,099 8,349,298 4,174,649 12,523,948

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