λ
Ratio Atlas
Atlas › Integer Profiles › Node 26,322,345
26,322,345
32 × 5 × 7 × 83563
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 5 × 7 × 83563
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 52,143,936
Proper Divisor Sum 25,821,591
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #26322323 ← → #26322347

Radix Representation

Decimal 26322345
Binary 1100100011010010110101001 (25 bits)
Octal 0o144322651
Hexadecimal 0x191A5A9

Divisor Catalog (24)

1 3 5 7 9 15 21 35 45 63 105 315 83,563 250,689 417,815 584,941 752,067 1,253,445 1,754,823 2,924,705 3,760,335 5,264,469 8,774,115 26,322,345

Collatz Trajectory (286 steps to reach 1)

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

26,322,345 78,967,036 39,483,518 19,741,759 59,225,278 29,612,639 88,837,918 44,418,959 133,256,878 66,628,439 199,885,318 99,942,659 299,827,978 149,913,989 449,741,968 224,870,984 112,435,492 56,217,746 28,108,873 84,326,620 42,163,310 21,081,655 63,244,966 31,622,483 94,867,450 47,433,725 142,301,176 71,150,588 35,575,294 17,787,647 53,362,942 26,681,471 80,044,414 40,022,207 120,066,622 60,033,311 180,099,934 90,049,967 270,149,902 135,074,951 405,224,854 202,612,427 607,837,282 303,918,641 911,755,924 455,877,962 227,938,981 683,816,944 341,908,472 170,954,236 85,477,118 42,738,559 128,215,678 64,107,839 192,323,518 96,161,759 288,485,278 144,242,639 432,727,918 216,363,959

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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