λ
Ratio Atlas
Atlas › Integer Profiles › Node 58,359,136
58,359,136
25 × 11 × 29 × 5717
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 11 × 29 × 5717
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 129,684,240
Proper Divisor Sum 71,325,104
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #58359131 ← → #58359137

Radix Representation

Decimal 58359136
Binary 11011110100111110101100000 (26 bits)
Octal 0o336476540
Hexadecimal 0x37A7D60

Divisor Catalog (48)

1 2 4 8 11 16 22 29 32 44 58 88 116 176 232 319 352 464 638 928 1,276 2,552 5,104 5,717 10,208 11,434 22,868 45,736 62,887 91,472 125,774 165,793 182,944 251,548 331,586 503,096 663,172 1,006,192 1,326,344 1,823,723 2,012,384 2,652,688 3,647,446 5,305,376 7,294,892 14,589,784 29,179,568 58,359,136

Collatz Trajectory (225 steps to reach 1)

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

58,359,136 29,179,568 14,589,784 7,294,892 3,647,446 1,823,723 5,471,170 2,735,585 8,206,756 4,103,378 2,051,689 6,155,068 3,077,534 1,538,767 4,616,302 2,308,151 6,924,454 3,462,227 10,386,682 5,193,341 15,580,024 7,790,012 3,895,006 1,947,503 5,842,510 2,921,255 8,763,766 4,381,883 13,145,650 6,572,825 19,718,476 9,859,238 4,929,619 14,788,858 7,394,429 22,183,288 11,091,644 5,545,822 2,772,911 8,318,734 4,159,367 12,478,102 6,239,051 18,717,154 9,358,577 28,075,732 14,037,866 7,018,933 21,056,800 10,528,400 5,264,200 2,632,100 1,316,050 658,025 1,974,076 987,038 493,519 1,480,558 740,279 2,220,838

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 #1,448,561 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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