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Atlas › Integer Profiles › Node 45,274,104

45,274,104

23 × 32 × 29 × 21683
Abundant Even Composite

45,274,104 factors as 2^3 × 3^2 × 29 × 21683. Its 48 positive divisors give a proper-divisor sum of 81,577,296, so this integer is abundant. The Collatz stopping time is 204 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 29 × 21683
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 126,851,400
Proper Divisor Sum 81,577,296
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #45274091 ← → #45274109

Radix Representation

Decimal 45274104
Binary 10101100101101001111111000 (26 bits)
Octal 0o254551770
Hexadecimal 0x2B2D3F8

Divisor Catalog (48)

1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 1,044 2,088 21,683 43,366 65,049 86,732 130,098 173,464 195,147 260,196 390,294 520,392 628,807 780,588 1,257,614 1,561,176 1,886,421 2,515,228 3,772,842 5,030,456 5,659,263 7,545,684 11,318,526 15,091,368 22,637,052 45,274,104

Collatz Trajectory (204 steps to reach 1)

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

45,274,104 22,637,052 11,318,526 5,659,263 16,977,790 8,488,895 25,466,686 12,733,343 38,200,030 19,100,015 57,300,046 28,650,023 85,950,070 42,975,035 128,925,106 64,462,553 193,387,660 96,693,830 48,346,915 145,040,746 72,520,373 217,561,120 108,780,560 54,390,280 27,195,140 13,597,570 6,798,785 20,396,356 10,198,178 5,099,089 15,297,268 7,648,634 3,824,317 11,472,952 5,736,476 2,868,238 1,434,119 4,302,358 2,151,179 6,453,538 3,226,769 9,680,308 4,840,154 2,420,077 7,260,232 3,630,116 1,815,058 907,529 2,722,588 1,361,294 680,647 2,041,942 1,020,971 3,062,914 1,531,457 4,594,372 2,297,186 1,148,593 3,445,780 1,722,890

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