λ
Ratio Atlas
Atlas › Integer Profiles › Node 72,045,162
72,045,162
2 × 32 × 7 × 833
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 83^3
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 180,573,120
Proper Divisor Sum 108,527,958
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #72045161 ← → #72045199

Radix Representation

Decimal 72045162
Binary 100010010110101001001101010 (27 bits)
Octal 0o422651152
Hexadecimal 0x44B526A

Divisor Catalog (48)

1 2 3 6 7 9 14 18 21 42 63 83 126 166 249 498 581 747 1,162 1,494 1,743 3,486 5,229 6,889 10,458 13,778 20,667 41,334 48,223 62,001 96,446 124,002 144,669 289,338 434,007 571,787 868,014 1,143,574 1,715,361 3,430,722 4,002,509 5,146,083 8,005,018 10,292,166 12,007,527 24,015,054 36,022,581 72,045,162

Collatz Trajectory (166 steps to reach 1)

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

72,045,162 36,022,581 108,067,744 54,033,872 27,016,936 13,508,468 6,754,234 3,377,117 10,131,352 5,065,676 2,532,838 1,266,419 3,799,258 1,899,629 5,698,888 2,849,444 1,424,722 712,361 2,137,084 1,068,542 534,271 1,602,814 801,407 2,404,222 1,202,111 3,606,334 1,803,167 5,409,502 2,704,751 8,114,254 4,057,127 12,171,382 6,085,691 18,257,074 9,128,537 27,385,612 13,692,806 6,846,403 20,539,210 10,269,605 30,808,816 15,404,408 7,702,204 3,851,102 1,925,551 5,776,654 2,888,327 8,664,982 4,332,491 12,997,474 6,498,737 19,496,212 9,748,106 4,874,053 14,622,160 7,311,080 3,655,540 1,827,770 913,885 2,741,656

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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