λ
Ratio Atlas
Atlas › Integer Profiles › Node 51,149,007
51,149,007
32 × 7 × 13 × 192 × 173
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 7 × 13 × 19^2 × 173
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 96,524,064
Proper Divisor Sum 45,375,057
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #51149003 ← → #51149009

Radix Representation

Decimal 51149007
Binary 11000011000111100011001111 (26 bits)
Octal 0o303074317
Hexadecimal 0x30C78CF

Divisor Catalog (60 of 72)

1 3 7 9 13 19 21 39 57 63 91 117 133 171 173 247 273 361 399 519 741 819 1,083 1,197 1,211 1,557 1,729 2,223 2,249 2,527 3,249 3,287 3,633 4,693 5,187 6,747 7,581 9,861 10,899 14,079 15,561 15,743 20,241 22,743 23,009 29,583 32,851 42,237 42,731 47,229 62,453 69,027 98,553 128,193 141,687 187,359 207,081 295,659 299,117 384,579

Collatz Trajectory (235 steps to reach 1)

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

51,149,007 153,447,022 76,723,511 230,170,534 115,085,267 345,255,802 172,627,901 517,883,704 258,941,852 129,470,926 64,735,463 194,206,390 97,103,195 291,309,586 145,654,793 436,964,380 218,482,190 109,241,095 327,723,286 163,861,643 491,584,930 245,792,465 737,377,396 368,688,698 184,344,349 553,033,048 276,516,524 138,258,262 69,129,131 207,387,394 103,693,697 311,081,092 155,540,546 77,770,273 233,310,820 116,655,410 58,327,705 174,983,116 87,491,558 43,745,779 131,237,338 65,618,669 196,856,008 98,428,004 49,214,002 24,607,001 73,821,004 36,910,502 18,455,251 55,365,754 27,682,877 83,048,632 41,524,316 20,762,158 10,381,079 31,143,238 15,571,619 46,714,858 23,357,429 70,072,288

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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