λ
Ratio Atlas
Atlas › Integer Profiles › Node 57,100,331
57,100,331
172 × 41 × 61 × 79
Deficient Odd Composite

Prime Factor Structure

Factorization String 17^2 × 41 × 61 × 79
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 63,954,240
Proper Divisor Sum 6,853,909
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #57100289 ← → #57100349

Radix Representation

Decimal 57100331
Binary 11011001110100100000101011 (26 bits)
Octal 0o331644053
Hexadecimal 0x367482B

Divisor Catalog (24)

1 17 41 61 79 289 697 1,037 1,343 2,501 3,239 4,819 11,849 17,629 22,831 42,517 55,063 81,923 197,579 722,789 936,071 1,392,691 3,358,843 57,100,331

Collatz Trajectory (150 steps to reach 1)

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

57,100,331 171,300,994 85,650,497 256,951,492 128,475,746 64,237,873 192,713,620 96,356,810 48,178,405 144,535,216 72,267,608 36,133,804 18,066,902 9,033,451 27,100,354 13,550,177 40,650,532 20,325,266 10,162,633 30,487,900 15,243,950 7,621,975 22,865,926 11,432,963 34,298,890 17,149,445 51,448,336 25,724,168 12,862,084 6,431,042 3,215,521 9,646,564 4,823,282 2,411,641 7,234,924 3,617,462 1,808,731 5,426,194 2,713,097 8,139,292 4,069,646 2,034,823 6,104,470 3,052,235 9,156,706 4,578,353 13,735,060 6,867,530 3,433,765 10,301,296 5,150,648 2,575,324 1,287,662 643,831 1,931,494 965,747 2,897,242 1,448,621 4,345,864 2,172,932

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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