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Ratio Atlas
Atlas › Integer Profiles › Node 45,002,132

45,002,132

22 × 7 × 59 × 27241
Abundant Even Composite

45,002,132 factors as 2^2 × 7 × 59 × 27241. Its 24 positive divisors give a proper-divisor sum of 46,530,988, so this integer is abundant. The Collatz stopping time is 111 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 59 × 27241
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 91,533,120
Proper Divisor Sum 46,530,988
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #45002131 ← → #45002147

Radix Representation

Decimal 45002132
Binary 10101011101010110110010100 (26 bits)
Octal 0o253526624
Hexadecimal 0x2AEAD94

Divisor Catalog (24)

1 2 4 7 14 28 59 118 236 413 826 1,652 27,241 54,482 108,964 190,687 381,374 762,748 1,607,219 3,214,438 6,428,876 11,250,533 22,501,066 45,002,132

Collatz Trajectory (111 steps to reach 1)

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

45,002,132 22,501,066 11,250,533 33,751,600 16,875,800 8,437,900 4,218,950 2,109,475 6,328,426 3,164,213 9,492,640 4,746,320 2,373,160 1,186,580 593,290 296,645 889,936 444,968 222,484 111,242 55,621 166,864 83,432 41,716 20,858 10,429 31,288 15,644 7,822 3,911 11,734 5,867 17,602 8,801 26,404 13,202 6,601 19,804 9,902 4,951 14,854 7,427 22,282 11,141 33,424 16,712 8,356 4,178 2,089 6,268 3,134 1,567 4,702 2,351 7,054 3,527 10,582 5,291 15,874 7,937

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