λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,928,375
7,928,375
53 × 7 × 13 × 17 × 41
Deficient Odd Composite

Prime Factor Structure

Factorization String 5^3 × 7 × 13 × 17 × 41
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 13,208,832
Proper Divisor Sum 5,280,457
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #7928369 ← → #7928407

Radix Representation

Decimal 7928375
Binary 11110001111101000110111 (23 bits)
Octal 0o36175067
Hexadecimal 0x78FA37

Divisor Catalog (60 of 64)

1 5 7 13 17 25 35 41 65 85 91 119 125 175 205 221 287 325 425 455 533 595 697 875 1,025 1,105 1,435 1,547 1,625 2,125 2,275 2,665 2,975 3,485 3,731 4,879 5,125 5,525 7,175 7,735 9,061 11,375 13,325 14,875 17,425 18,655 24,395 27,625 35,875 38,675 45,305 63,427 66,625 87,125 93,275 121,975 193,375 226,525 317,135 466,375

Collatz Trajectory (261 steps to reach 1)

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

7,928,375 23,785,126 11,892,563 35,677,690 17,838,845 53,516,536 26,758,268 13,379,134 6,689,567 20,068,702 10,034,351 30,103,054 15,051,527 45,154,582 22,577,291 67,731,874 33,865,937 101,597,812 50,798,906 25,399,453 76,198,360 38,099,180 19,049,590 9,524,795 28,574,386 14,287,193 42,861,580 21,430,790 10,715,395 32,146,186 16,073,093 48,219,280 24,109,640 12,054,820 6,027,410 3,013,705 9,041,116 4,520,558 2,260,279 6,780,838 3,390,419 10,171,258 5,085,629 15,256,888 7,628,444 3,814,222 1,907,111 5,721,334 2,860,667 8,582,002 4,291,001 12,873,004 6,436,502 3,218,251 9,654,754 4,827,377 14,482,132 7,241,066 3,620,533 10,861,600

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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