λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,137,535
3,137,535
34 × 5 × 61 × 127
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^4 × 5 × 61 × 127
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 5,761,536
Proper Divisor Sum 2,624,001
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3137531 ← → #3137551

Radix Representation

Decimal 3137535
Binary 1011111101111111111111 (22 bits)
Octal 0o13757777
Hexadecimal 0x2FDFFF

Divisor Catalog (40)

1 3 5 9 15 27 45 61 81 127 135 183 305 381 405 549 635 915 1,143 1,647 1,905 2,745 3,429 4,941 5,715 7,747 8,235 10,287 17,145 23,241 24,705 38,735 51,435 69,723 116,205 209,169 348,615 627,507 1,045,845 3,137,535

Collatz Trajectory (133 steps to reach 1)

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

3,137,535 9,412,606 4,706,303 14,118,910 7,059,455 21,178,366 10,589,183 31,767,550 15,883,775 47,651,326 23,825,663 71,476,990 35,738,495 107,215,486 53,607,743 160,823,230 80,411,615 241,234,846 120,617,423 361,852,270 180,926,135 542,778,406 271,389,203 814,167,610 407,083,805 1,221,251,416 610,625,708 305,312,854 152,656,427 457,969,282 228,984,641 686,953,924 343,476,962 171,738,481 515,215,444 257,607,722 128,803,861 386,411,584 193,205,792 96,602,896 48,301,448 24,150,724 12,075,362 6,037,681 18,113,044 9,056,522 4,528,261 13,584,784 6,792,392 3,396,196 1,698,098 849,049 2,547,148 1,273,574 636,787 1,910,362 955,181 2,865,544 1,432,772 716,386

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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