λ
Ratio Atlas
Atlas › Integer Profiles › Node 57,799,452
57,799,452
22 × 3 × 61 × 2812
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 61 × 281^2
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 137,565,848
Proper Divisor Sum 79,766,396
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #57799451 ← → #57799453

Radix Representation

Decimal 57799452
Binary 11011100011111001100011100 (26 bits)
Octal 0o334371434
Hexadecimal 0x371F31C

Divisor Catalog (36)

1 2 3 4 6 12 61 122 183 244 281 366 562 732 843 1,124 1,686 3,372 17,141 34,282 51,423 68,564 78,961 102,846 157,922 205,692 236,883 315,844 473,766 947,532 4,816,621 9,633,242 14,449,863 19,266,484 28,899,726 57,799,452

Collatz Trajectory (101 steps to reach 1)

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

57,799,452 28,899,726 14,449,863 43,349,590 21,674,795 65,024,386 32,512,193 97,536,580 48,768,290 24,384,145 73,152,436 36,576,218 18,288,109 54,864,328 27,432,164 13,716,082 6,858,041 20,574,124 10,287,062 5,143,531 15,430,594 7,715,297 23,145,892 11,572,946 5,786,473 17,359,420 8,679,710 4,339,855 13,019,566 6,509,783 19,529,350 9,764,675 29,294,026 14,647,013 43,941,040 21,970,520 10,985,260 5,492,630 2,746,315 8,238,946 4,119,473 12,358,420 6,179,210 3,089,605 9,268,816 4,634,408 2,317,204 1,158,602 579,301 1,737,904 868,952 434,476 217,238 108,619 325,858 162,929 488,788 244,394 122,197 366,592

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 #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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