λ
Ratio Atlas
Atlas › Integer Profiles › Node 23,763,516
23,763,516
22 × 3 × 7 × 79 × 3581
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 79 × 3581
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 64,189,440
Proper Divisor Sum 40,425,924
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #23763479 ← → #23763517

Radix Representation

Decimal 23763516
Binary 1011010101001101000111100 (25 bits)
Octal 0o132515074
Hexadecimal 0x16A9A3C

Divisor Catalog (48)

1 2 3 4 6 7 12 14 21 28 42 79 84 158 237 316 474 553 948 1,106 1,659 2,212 3,318 3,581 6,636 7,162 10,743 14,324 21,486 25,067 42,972 50,134 75,201 100,268 150,402 282,899 300,804 565,798 848,697 1,131,596 1,697,394 1,980,293 3,394,788 3,960,586 5,940,879 7,921,172 11,881,758 23,763,516

Collatz Trajectory (216 steps to reach 1)

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

23,763,516 11,881,758 5,940,879 17,822,638 8,911,319 26,733,958 13,366,979 40,100,938 20,050,469 60,151,408 30,075,704 15,037,852 7,518,926 3,759,463 11,278,390 5,639,195 16,917,586 8,458,793 25,376,380 12,688,190 6,344,095 19,032,286 9,516,143 28,548,430 14,274,215 42,822,646 21,411,323 64,233,970 32,116,985 96,350,956 48,175,478 24,087,739 72,263,218 36,131,609 108,394,828 54,197,414 27,098,707 81,296,122 40,648,061 121,944,184 60,972,092 30,486,046 15,243,023 45,729,070 22,864,535 68,593,606 34,296,803 102,890,410 51,445,205 154,335,616 77,167,808 38,583,904 19,291,952 9,645,976 4,822,988 2,411,494 1,205,747 3,617,242 1,808,621 5,425,864

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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