λ
Ratio Atlas
Atlas › Integer Profiles › Node 40,974,232
40,974,232
23 × 13 × 487 × 809
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 13 × 487 × 809
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 83,008,800
Proper Divisor Sum 42,034,568
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #40974217 ← → #40974239

Radix Representation

Decimal 40974232
Binary 10011100010011011110011000 (26 bits)
Octal 0o234233630
Hexadecimal 0x2713798

Divisor Catalog (32)

1 2 4 8 13 26 52 104 487 809 974 1,618 1,948 3,236 3,896 6,331 6,472 10,517 12,662 21,034 25,324 42,068 50,648 84,136 393,983 787,966 1,575,932 3,151,864 5,121,779 10,243,558 20,487,116 40,974,232

Collatz Trajectory (129 steps to reach 1)

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

40,974,232 20,487,116 10,243,558 5,121,779 15,365,338 7,682,669 23,048,008 11,524,004 5,762,002 2,881,001 8,643,004 4,321,502 2,160,751 6,482,254 3,241,127 9,723,382 4,861,691 14,585,074 7,292,537 21,877,612 10,938,806 5,469,403 16,408,210 8,204,105 24,612,316 12,306,158 6,153,079 18,459,238 9,229,619 27,688,858 13,844,429 41,533,288 20,766,644 10,383,322 5,191,661 15,574,984 7,787,492 3,893,746 1,946,873 5,840,620 2,920,310 1,460,155 4,380,466 2,190,233 6,570,700 3,285,350 1,642,675 4,928,026 2,464,013 7,392,040 3,696,020 1,848,010 924,005 2,772,016 1,386,008 693,004 346,502 173,251 519,754 259,877

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #8,365,252 Feeder #1,448,561 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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