λ
Ratio Atlas
Atlas › Integer Profiles › Node 72,002,175
72,002,175
3 × 52 × 7 × 137147
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5^2 × 7 × 137147
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 136,050,816
Proper Divisor Sum 64,048,641
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #72002173 ← → #72002197

Radix Representation

Decimal 72002175
Binary 100010010101010101001111111 (27 bits)
Octal 0o422525177
Hexadecimal 0x44AAA7F

Divisor Catalog (24)

1 3 5 7 15 21 25 35 75 105 175 525 137,147 411,441 685,735 960,029 2,057,205 2,880,087 3,428,675 4,800,145 10,286,025 14,400,435 24,000,725 72,002,175

Collatz Trajectory (259 steps to reach 1)

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

72,002,175 216,006,526 108,003,263 324,009,790 162,004,895 486,014,686 243,007,343 729,022,030 364,511,015 1,093,533,046 546,766,523 1,640,299,570 820,149,785 2,460,449,356 1,230,224,678 615,112,339 1,845,337,018 922,668,509 2,768,005,528 1,384,002,764 692,001,382 346,000,691 1,038,002,074 519,001,037 1,557,003,112 778,501,556 389,250,778 194,625,389 583,876,168 291,938,084 145,969,042 72,984,521 218,953,564 109,476,782 54,738,391 164,215,174 82,107,587 246,322,762 123,161,381 369,484,144 184,742,072 92,371,036 46,185,518 23,092,759 69,278,278 34,639,139 103,917,418 51,958,709 155,876,128 77,938,064 38,969,032 19,484,516 9,742,258 4,871,129 14,613,388 7,306,694 3,653,347 10,960,042 5,480,021 16,440,064

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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