λ
Ratio Atlas
Atlas › Integer Profiles › Node 23,677,758
23,677,758
2 × 34 × 13 × 11243
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^4 × 13 × 11243
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 57,142,008
Proper Divisor Sum 33,464,250
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #23677757 ← → #23677777

Radix Representation

Decimal 23677758
Binary 1011010010100101100111110 (25 bits)
Octal 0o132245476
Hexadecimal 0x1694B3E

Divisor Catalog (40)

1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 351 702 1,053 2,106 11,243 22,486 33,729 67,458 101,187 146,159 202,374 292,318 303,561 438,477 607,122 876,954 910,683 1,315,431 1,821,366 2,630,862 3,946,293 7,892,586 11,838,879 23,677,758

Collatz Trajectory (291 steps to reach 1)

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

23,677,758 11,838,879 35,516,638 17,758,319 53,274,958 26,637,479 79,912,438 39,956,219 119,868,658 59,934,329 179,802,988 89,901,494 44,950,747 134,852,242 67,426,121 202,278,364 101,139,182 50,569,591 151,708,774 75,854,387 227,563,162 113,781,581 341,344,744 170,672,372 85,336,186 42,668,093 128,004,280 64,002,140 32,001,070 16,000,535 48,001,606 24,000,803 72,002,410 36,001,205 108,003,616 54,001,808 27,000,904 13,500,452 6,750,226 3,375,113 10,125,340 5,062,670 2,531,335 7,594,006 3,797,003 11,391,010 5,695,505 17,086,516 8,543,258 4,271,629 12,814,888 6,407,444 3,203,722 1,601,861 4,805,584 2,402,792 1,201,396 600,698 300,349 901,048

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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