λ
Ratio Atlas
Atlas › Integer Profiles › Node 17,845,359
17,845,359
3 × 72 × 17 × 37 × 193
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7^2 × 17 × 37 × 193
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 30,254,688
Proper Divisor Sum 12,409,329
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #17845349 ← → #17845363

Radix Representation

Decimal 17845359
Binary 1000100000100110001101111 (25 bits)
Octal 0o104046157
Hexadecimal 0x1104C6F

Divisor Catalog (48)

1 3 7 17 21 37 49 51 111 119 147 193 259 357 579 629 777 833 1,351 1,813 1,887 2,499 3,281 4,053 4,403 5,439 7,141 9,457 9,843 13,209 21,423 22,967 28,371 30,821 49,987 68,901 92,463 121,397 149,961 160,769 349,909 364,191 482,307 849,779 1,049,727 2,549,337 5,948,453 17,845,359

Collatz Trajectory (169 steps to reach 1)

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

17,845,359 53,536,078 26,768,039 80,304,118 40,152,059 120,456,178 60,228,089 180,684,268 90,342,134 45,171,067 135,513,202 67,756,601 203,269,804 101,634,902 50,817,451 152,452,354 76,226,177 228,678,532 114,339,266 57,169,633 171,508,900 85,754,450 42,877,225 128,631,676 64,315,838 32,157,919 96,473,758 48,236,879 144,710,638 72,355,319 217,065,958 108,532,979 325,598,938 162,799,469 488,398,408 244,199,204 122,099,602 61,049,801 183,149,404 91,574,702 45,787,351 137,362,054 68,681,027 206,043,082 103,021,541 309,064,624 154,532,312 77,266,156 38,633,078 19,316,539 57,949,618 28,974,809 86,924,428 43,462,214 21,731,107 65,193,322 32,596,661 97,789,984 48,894,992 24,447,496

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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