λ
Ratio Atlas
Atlas › Integer Profiles › Node 42,321,903
42,321,903
3 × 13 × 892 × 137
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 13 × 89^2 × 137
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 61,909,008
Proper Divisor Sum 19,587,105
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #42321871 ← → #42321907

Radix Representation

Decimal 42321903
Binary 10100001011100011111101111 (26 bits)
Octal 0o241343757
Hexadecimal 0x285C7EF

Divisor Catalog (24)

1 3 13 39 89 137 267 411 1,157 1,781 3,471 5,343 7,921 12,193 23,763 36,579 102,973 158,509 308,919 475,527 1,085,177 3,255,531 14,107,301 42,321,903

Collatz Trajectory (173 steps to reach 1)

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

42,321,903 126,965,710 63,482,855 190,448,566 95,224,283 285,672,850 142,836,425 428,509,276 214,254,638 107,127,319 321,381,958 160,690,979 482,072,938 241,036,469 723,109,408 361,554,704 180,777,352 90,388,676 45,194,338 22,597,169 67,791,508 33,895,754 16,947,877 50,843,632 25,421,816 12,710,908 6,355,454 3,177,727 9,533,182 4,766,591 14,299,774 7,149,887 21,449,662 10,724,831 32,174,494 16,087,247 48,261,742 24,130,871 72,392,614 36,196,307 108,588,922 54,294,461 162,883,384 81,441,692 40,720,846 20,360,423 61,081,270 30,540,635 91,621,906 45,810,953 137,432,860 68,716,430 34,358,215 103,074,646 51,537,323 154,611,970 77,305,985 231,917,956 115,958,978 57,979,489

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 #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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