λ
Ratio Atlas
Atlas › Integer Profiles › Node 22,972,761
22,972,761
33 × 7 × 197 × 617
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^3 × 7 × 197 × 617
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 39,156,480
Proper Divisor Sum 16,183,719
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #22972757 ← → #22972777

Radix Representation

Decimal 22972761
Binary 1010111101000100101011001 (25 bits)
Octal 0o127504531
Hexadecimal 0x15E8959

Divisor Catalog (32)

1 3 7 9 21 27 63 189 197 591 617 1,379 1,773 1,851 4,137 4,319 5,319 5,553 12,411 12,957 16,659 37,233 38,871 116,613 121,549 364,647 850,843 1,093,941 2,552,529 3,281,823 7,657,587 22,972,761

Collatz Trajectory (185 steps to reach 1)

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

22,972,761 68,918,284 34,459,142 17,229,571 51,688,714 25,844,357 77,533,072 38,766,536 19,383,268 9,691,634 4,845,817 14,537,452 7,268,726 3,634,363 10,903,090 5,451,545 16,354,636 8,177,318 4,088,659 12,265,978 6,132,989 18,398,968 9,199,484 4,599,742 2,299,871 6,899,614 3,449,807 10,349,422 5,174,711 15,524,134 7,762,067 23,286,202 11,643,101 34,929,304 17,464,652 8,732,326 4,366,163 13,098,490 6,549,245 19,647,736 9,823,868 4,911,934 2,455,967 7,367,902 3,683,951 11,051,854 5,525,927 16,577,782 8,288,891 24,866,674 12,433,337 37,300,012 18,650,006 9,325,003 27,975,010 13,987,505 41,962,516 20,981,258 10,490,629 31,471,888

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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