λ
Ratio Atlas
Atlas › Integer Profiles › Node 40,855,432
40,855,432
23 × 29 × 229 × 769
Deficient Even Composite

Prime Factor Structure

Factorization String 2^3 × 29 × 229 × 769
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 79,695,000
Proper Divisor Sum 38,839,568
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #40855411 ← → #40855447

Radix Representation

Decimal 40855432
Binary 10011011110110011110001000 (26 bits)
Octal 0o233663610
Hexadecimal 0x26F6788

Divisor Catalog (32)

1 2 4 8 29 58 116 229 232 458 769 916 1,538 1,832 3,076 6,152 6,641 13,282 22,301 26,564 44,602 53,128 89,204 176,101 178,408 352,202 704,404 1,408,808 5,106,929 10,213,858 20,427,716 40,855,432

Collatz Trajectory (178 steps to reach 1)

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

40,855,432 20,427,716 10,213,858 5,106,929 15,320,788 7,660,394 3,830,197 11,490,592 5,745,296 2,872,648 1,436,324 718,162 359,081 1,077,244 538,622 269,311 807,934 403,967 1,211,902 605,951 1,817,854 908,927 2,726,782 1,363,391 4,090,174 2,045,087 6,135,262 3,067,631 9,202,894 4,601,447 13,804,342 6,902,171 20,706,514 10,353,257 31,059,772 15,529,886 7,764,943 23,294,830 11,647,415 34,942,246 17,471,123 52,413,370 26,206,685 78,620,056 39,310,028 19,655,014 9,827,507 29,482,522 14,741,261 44,223,784 22,111,892 11,055,946 5,527,973 16,583,920 8,291,960 4,145,980 2,072,990 1,036,495 3,109,486 1,554,743

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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