λ
Ratio Atlas
Atlas › Integer Profiles › Node 29,644,792
29,644,792
23 × 23 × 367 × 439
Deficient Even Composite

Prime Factor Structure

Factorization String 2^3 × 23 × 367 × 439
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 58,291,200
Proper Divisor Sum 28,646,408
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #29644781 ← → #29644799

Radix Representation

Decimal 29644792
Binary 1110001000101011111111000 (25 bits)
Octal 0o161053770
Hexadecimal 0x1C457F8

Divisor Catalog (32)

1 2 4 8 23 46 92 184 367 439 734 878 1,468 1,756 2,936 3,512 8,441 10,097 16,882 20,194 33,764 40,388 67,528 80,776 161,113 322,226 644,452 1,288,904 3,705,599 7,411,198 14,822,396 29,644,792

Collatz Trajectory (118 steps to reach 1)

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

29,644,792 14,822,396 7,411,198 3,705,599 11,116,798 5,558,399 16,675,198 8,337,599 25,012,798 12,506,399 37,519,198 18,759,599 56,278,798 28,139,399 84,418,198 42,209,099 126,627,298 63,313,649 189,940,948 94,970,474 47,485,237 142,455,712 71,227,856 35,613,928 17,806,964 8,903,482 4,451,741 13,355,224 6,677,612 3,338,806 1,669,403 5,008,210 2,504,105 7,512,316 3,756,158 1,878,079 5,634,238 2,817,119 8,451,358 4,225,679 12,677,038 6,338,519 19,015,558 9,507,779 28,523,338 14,261,669 42,785,008 21,392,504 10,696,252 5,348,126 2,674,063 8,022,190 4,011,095 12,033,286 6,016,643 18,049,930 9,024,965 27,074,896 13,537,448 6,768,724

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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