λ
Ratio Atlas
Atlas › Integer Profiles › Node 72,047,799
72,047,799
36 × 23 × 4297
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^6 × 23 × 4297
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 112,745,136
Proper Divisor Sum 40,697,337
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #72047749 ← → #72047809

Radix Representation

Decimal 72047799
Binary 100010010110101110010110111 (27 bits)
Octal 0o422656267
Hexadecimal 0x44B5CB7

Divisor Catalog (28)

1 3 9 23 27 69 81 207 243 621 729 1,863 4,297 5,589 12,891 16,767 38,673 98,831 116,019 296,493 348,057 889,479 1,044,171 2,668,437 3,132,513 8,005,311 24,015,933 72,047,799

Collatz Trajectory (171 steps to reach 1)

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

72,047,799 216,143,398 108,071,699 324,215,098 162,107,549 486,322,648 243,161,324 121,580,662 60,790,331 182,370,994 91,185,497 273,556,492 136,778,246 68,389,123 205,167,370 102,583,685 307,751,056 153,875,528 76,937,764 38,468,882 19,234,441 57,703,324 28,851,662 14,425,831 43,277,494 21,638,747 64,916,242 32,458,121 97,374,364 48,687,182 24,343,591 73,030,774 36,515,387 109,546,162 54,773,081 164,319,244 82,159,622 41,079,811 123,239,434 61,619,717 184,859,152 92,429,576 46,214,788 23,107,394 11,553,697 34,661,092 17,330,546 8,665,273 25,995,820 12,997,910 6,498,955 19,496,866 9,748,433 29,245,300 14,622,650 7,311,325 21,933,976 10,966,988 5,483,494 2,741,747

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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