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Atlas › Integer Profiles › Node 45,840,280

45,840,280

23 × 5 × 61 × 18787
Abundant Even Composite

45,840,280 factors as 2^3 × 5 × 61 × 18787. Its 32 positive divisors give a proper-divisor sum of 58,996,760, so this integer is abundant. The Collatz stopping time is 248 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 61 × 18787
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 104,837,040
Proper Divisor Sum 58,996,760
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #45840229 ← → #45840281

Radix Representation

Decimal 45840280
Binary 10101110110111011110011000 (26 bits)
Octal 0o256673630
Hexadecimal 0x2BB7798

Divisor Catalog (32)

1 2 4 5 8 10 20 40 61 122 244 305 488 610 1,220 2,440 18,787 37,574 75,148 93,935 150,296 187,870 375,740 751,480 1,146,007 2,292,014 4,584,028 5,730,035 9,168,056 11,460,070 22,920,140 45,840,280

Collatz Trajectory (248 steps to reach 1)

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

45,840,280 22,920,140 11,460,070 5,730,035 17,190,106 8,595,053 25,785,160 12,892,580 6,446,290 3,223,145 9,669,436 4,834,718 2,417,359 7,252,078 3,626,039 10,878,118 5,439,059 16,317,178 8,158,589 24,475,768 12,237,884 6,118,942 3,059,471 9,178,414 4,589,207 13,767,622 6,883,811 20,651,434 10,325,717 30,977,152 15,488,576 7,744,288 3,872,144 1,936,072 968,036 484,018 242,009 726,028 363,014 181,507 544,522 272,261 816,784 408,392 204,196 102,098 51,049 153,148 76,574 38,287 114,862 57,431 172,294 86,147 258,442 129,221 387,664 193,832 96,916 48,458

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