λ
Ratio Atlas
Atlas › Integer Profiles › Node 51,101,804
51,101,804
22 × 13 × 163 × 6029
Deficient Even Composite

Prime Factor Structure

Factorization String 2^2 × 13 × 163 × 6029
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 96,914,160
Proper Divisor Sum 45,812,356
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #51101803 ← → #51101851

Radix Representation

Decimal 51101804
Binary 11000010111100000001101100 (26 bits)
Octal 0o302740154
Hexadecimal 0x30BC06C

Divisor Catalog (24)

1 2 4 13 26 52 163 326 652 2,119 4,238 6,029 8,476 12,058 24,116 78,377 156,754 313,508 982,727 1,965,454 3,930,908 12,775,451 25,550,902 51,101,804

Collatz Trajectory (261 steps to reach 1)

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

51,101,804 25,550,902 12,775,451 38,326,354 19,163,177 57,489,532 28,744,766 14,372,383 43,117,150 21,558,575 64,675,726 32,337,863 97,013,590 48,506,795 145,520,386 72,760,193 218,280,580 109,140,290 54,570,145 163,710,436 81,855,218 40,927,609 122,782,828 61,391,414 30,695,707 92,087,122 46,043,561 138,130,684 69,065,342 34,532,671 103,598,014 51,799,007 155,397,022 77,698,511 233,095,534 116,547,767 349,643,302 174,821,651 524,464,954 262,232,477 786,697,432 393,348,716 196,674,358 98,337,179 295,011,538 147,505,769 442,517,308 221,258,654 110,629,327 331,887,982 165,943,991 497,831,974 248,915,987 746,747,962 373,373,981 1,120,121,944 560,060,972 280,030,486 140,015,243 420,045,730

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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