λ
Ratio Atlas
Atlas › Integer Profiles › Node 29,623,945
29,623,945
5 × 13 × 172 × 19 × 83
Deficient Odd Composite

Prime Factor Structure

Factorization String 5 × 13 × 17^2 × 19 × 83
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 43,323,840
Proper Divisor Sum 13,699,895
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #29623943 ← → #29623949

Radix Representation

Decimal 29623945
Binary 1110001000000011010001001 (25 bits)
Octal 0o161003211
Hexadecimal 0x1C40689

Divisor Catalog (48)

1 5 13 17 19 65 83 85 95 221 247 289 323 415 1,079 1,105 1,235 1,411 1,445 1,577 1,615 3,757 4,199 5,395 5,491 7,055 7,885 18,343 18,785 20,501 20,995 23,987 26,809 27,455 71,383 91,715 102,505 119,935 134,045 311,831 348,517 356,915 455,753 1,559,155 1,742,585 2,278,765 5,924,789 29,623,945

Collatz Trajectory (113 steps to reach 1)

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

29,623,945 88,871,836 44,435,918 22,217,959 66,653,878 33,326,939 99,980,818 49,990,409 149,971,228 74,985,614 37,492,807 112,478,422 56,239,211 168,717,634 84,358,817 253,076,452 126,538,226 63,269,113 189,807,340 94,903,670 47,451,835 142,355,506 71,177,753 213,533,260 106,766,630 53,383,315 160,149,946 80,074,973 240,224,920 120,112,460 60,056,230 30,028,115 90,084,346 45,042,173 135,126,520 67,563,260 33,781,630 16,890,815 50,672,446 25,336,223 76,008,670 38,004,335 114,013,006 57,006,503 171,019,510 85,509,755 256,529,266 128,264,633 384,793,900 192,396,950 96,198,475 288,595,426 144,297,713 432,893,140 216,446,570 108,223,285 324,669,856 162,334,928 81,167,464 40,583,732

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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