λ
Ratio Atlas
Atlas › Integer Profiles › Node 72,007,145
72,007,145
5 × 7 × 29 × 61 × 1163
Deficient Odd Composite

Prime Factor Structure

Factorization String 5 × 7 × 29 × 61 × 1163
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 103,921,920
Proper Divisor Sum 31,914,775
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #72007129 ← → #72007147

Radix Representation

Decimal 72007145
Binary 100010010101011110111101001 (27 bits)
Octal 0o422536751
Hexadecimal 0x44ABDE9

Divisor Catalog (32)

1 5 7 29 35 61 145 203 305 427 1,015 1,163 1,769 2,135 5,815 8,141 8,845 12,383 33,727 40,705 61,915 70,943 168,635 236,089 354,715 496,601 1,180,445 2,057,347 2,483,005 10,286,735 14,401,429 72,007,145

Collatz Trajectory (228 steps to reach 1)

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

72,007,145 216,021,436 108,010,718 54,005,359 162,016,078 81,008,039 243,024,118 121,512,059 364,536,178 182,268,089 546,804,268 273,402,134 136,701,067 410,103,202 205,051,601 615,154,804 307,577,402 153,788,701 461,366,104 230,683,052 115,341,526 57,670,763 173,012,290 86,506,145 259,518,436 129,759,218 64,879,609 194,638,828 97,319,414 48,659,707 145,979,122 72,989,561 218,968,684 109,484,342 54,742,171 164,226,514 82,113,257 246,339,772 123,169,886 61,584,943 184,754,830 92,377,415 277,132,246 138,566,123 415,698,370 207,849,185 623,547,556 311,773,778 155,886,889 467,660,668 233,830,334 116,915,167 350,745,502 175,372,751 526,118,254 263,059,127 789,177,382 394,588,691 1,183,766,074 591,883,037

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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