λ
Ratio Atlas
Atlas › Integer Profiles › Node 52,847,151
52,847,151
3 × 7 × 192 × 6971
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7 × 19^2 × 6971
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 85,002,624
Proper Divisor Sum 32,155,473
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #52847149 ← → #52847153

Radix Representation

Decimal 52847151
Binary 11001001100110001000101111 (26 bits)
Octal 0o311461057
Hexadecimal 0x326622F

Divisor Catalog (24)

1 3 7 19 21 57 133 361 399 1,083 2,527 6,971 7,581 20,913 48,797 132,449 146,391 397,347 927,143 2,516,531 2,781,429 7,549,593 17,615,717 52,847,151

Collatz Trajectory (349 steps to reach 1)

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

52,847,151 158,541,454 79,270,727 237,812,182 118,906,091 356,718,274 178,359,137 535,077,412 267,538,706 133,769,353 401,308,060 200,654,030 100,327,015 300,981,046 150,490,523 451,471,570 225,735,785 677,207,356 338,603,678 169,301,839 507,905,518 253,952,759 761,858,278 380,929,139 1,142,787,418 571,393,709 1,714,181,128 857,090,564 428,545,282 214,272,641 642,817,924 321,408,962 160,704,481 482,113,444 241,056,722 120,528,361 361,585,084 180,792,542 90,396,271 271,188,814 135,594,407 406,783,222 203,391,611 610,174,834 305,087,417 915,262,252 457,631,126 228,815,563 686,446,690 343,223,345 1,029,670,036 514,835,018 257,417,509 772,252,528 386,126,264 193,063,132 96,531,566 48,265,783 144,797,350 72,398,675

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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