λ
Ratio Atlas
Atlas › Integer Profiles › Node 48,701,465
48,701,465
5 × 19 × 23 × 31 × 719
Deficient Odd Composite

Prime Factor Structure

Factorization String 5 × 19 × 23 × 31 × 719
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 66,355,200
Proper Divisor Sum 17,653,735
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #48701453 ← → #48701473

Radix Representation

Decimal 48701465
Binary 10111001110010000000011001 (26 bits)
Octal 0o271620031
Hexadecimal 0x2E72019

Divisor Catalog (32)

1 5 19 23 31 95 115 155 437 589 713 719 2,185 2,945 3,565 3,595 13,547 13,661 16,537 22,289 67,735 68,305 82,685 111,445 314,203 423,491 512,647 1,571,015 2,117,455 2,563,235 9,740,293 48,701,465

Collatz Trajectory (111 steps to reach 1)

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

48,701,465 146,104,396 73,052,198 36,526,099 109,578,298 54,789,149 164,367,448 82,183,724 41,091,862 20,545,931 61,637,794 30,818,897 92,456,692 46,228,346 23,114,173 69,342,520 34,671,260 17,335,630 8,667,815 26,003,446 13,001,723 39,005,170 19,502,585 58,507,756 29,253,878 14,626,939 43,880,818 21,940,409 65,821,228 32,910,614 16,455,307 49,365,922 24,682,961 74,048,884 37,024,442 18,512,221 55,536,664 27,768,332 13,884,166 6,942,083 20,826,250 10,413,125 31,239,376 15,619,688 7,809,844 3,904,922 1,952,461 5,857,384 2,928,692 1,464,346 732,173 2,196,520 1,098,260 549,130 274,565 823,696 411,848 205,924 102,962 51,481

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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