λ
Ratio Atlas
Atlas › Integer Profiles › Node 40,929,992
40,929,992
23 × 37 × 53 × 2609
Deficient Even Composite

Prime Factor Structure

Factorization String 2^3 × 37 × 53 × 2609
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 80,335,800
Proper Divisor Sum 39,405,808
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #40929989 ← → #40930051

Radix Representation

Decimal 40929992
Binary 10011100001000101011001000 (26 bits)
Octal 0o234105310
Hexadecimal 0x2708AC8

Divisor Catalog (32)

1 2 4 8 37 53 74 106 148 212 296 424 1,961 2,609 3,922 5,218 7,844 10,436 15,688 20,872 96,533 138,277 193,066 276,554 386,132 553,108 772,264 1,106,216 5,116,249 10,232,498 20,464,996 40,929,992

Collatz Trajectory (134 steps to reach 1)

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

40,929,992 20,464,996 10,232,498 5,116,249 15,348,748 7,674,374 3,837,187 11,511,562 5,755,781 17,267,344 8,633,672 4,316,836 2,158,418 1,079,209 3,237,628 1,618,814 809,407 2,428,222 1,214,111 3,642,334 1,821,167 5,463,502 2,731,751 8,195,254 4,097,627 12,292,882 6,146,441 18,439,324 9,219,662 4,609,831 13,829,494 6,914,747 20,744,242 10,372,121 31,116,364 15,558,182 7,779,091 23,337,274 11,668,637 35,005,912 17,502,956 8,751,478 4,375,739 13,127,218 6,563,609 19,690,828 9,845,414 4,922,707 14,768,122 7,384,061 22,152,184 11,076,092 5,538,046 2,769,023 8,307,070 4,153,535 12,460,606 6,230,303 18,690,910 9,345,455

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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