λ
Ratio Atlas
Atlas › Integer Profiles › Node 48,522,175
48,522,175
52 × 13 × 173 × 863
Deficient Odd Composite

Prime Factor Structure

Factorization String 5^2 × 13 × 173 × 863
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 65,245,824
Proper Divisor Sum 16,723,649
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #48522139 ← → #48522179

Radix Representation

Decimal 48522175
Binary 10111001000110001110111111 (26 bits)
Octal 0o271061677
Hexadecimal 0x2E463BF

Divisor Catalog (24)

1 5 13 25 65 173 325 863 865 2,249 4,315 4,325 11,219 11,245 21,575 56,095 56,225 149,299 280,475 746,495 1,940,887 3,732,475 9,704,435 48,522,175

Collatz Trajectory (230 steps to reach 1)

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

48,522,175 145,566,526 72,783,263 218,349,790 109,174,895 327,524,686 163,762,343 491,287,030 245,643,515 736,930,546 368,465,273 1,105,395,820 552,697,910 276,348,955 829,046,866 414,523,433 1,243,570,300 621,785,150 310,892,575 932,677,726 466,338,863 1,399,016,590 699,508,295 2,098,524,886 1,049,262,443 3,147,787,330 1,573,893,665 4,721,680,996 2,360,840,498 1,180,420,249 3,541,260,748 1,770,630,374 885,315,187 2,655,945,562 1,327,972,781 3,983,918,344 1,991,959,172 995,979,586 497,989,793 1,493,969,380 746,984,690 373,492,345 1,120,477,036 560,238,518 280,119,259 840,357,778 420,178,889 1,260,536,668 630,268,334 315,134,167 945,402,502 472,701,251 1,418,103,754 709,051,877 2,127,155,632 1,063,577,816 531,788,908 265,894,454 132,947,227 398,841,682

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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