λ
Ratio Atlas
Atlas › Integer Profiles › Node 48,756,862
48,756,862
2 × 72 × 11 × 31 × 1459
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 7^2 × 11 × 31 × 1459
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 95,869,440
Proper Divisor Sum 47,112,578
Digit Sum / Digital Root 46 (Root: 1)
Adjacent Primes #48756857 ← → #48756887

Radix Representation

Decimal 48756862
Binary 10111001111111100001111110 (26 bits)
Octal 0o271774176
Hexadecimal 0x2E7F87E

Divisor Catalog (48)

1 2 7 11 14 22 31 49 62 77 98 154 217 341 434 539 682 1,078 1,459 1,519 2,387 2,918 3,038 4,774 10,213 16,049 16,709 20,426 32,098 33,418 45,229 71,491 90,458 112,343 142,982 224,686 316,603 497,519 633,206 786,401 995,038 1,572,802 2,216,221 3,482,633 4,432,442 6,965,266 24,378,431 48,756,862

Collatz Trajectory (243 steps to reach 1)

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

48,756,862 24,378,431 73,135,294 36,567,647 109,702,942 54,851,471 164,554,414 82,277,207 246,831,622 123,415,811 370,247,434 185,123,717 555,371,152 277,685,576 138,842,788 69,421,394 34,710,697 104,132,092 52,066,046 26,033,023 78,099,070 39,049,535 117,148,606 58,574,303 175,722,910 87,861,455 263,584,366 131,792,183 395,376,550 197,688,275 593,064,826 296,532,413 889,597,240 444,798,620 222,399,310 111,199,655 333,598,966 166,799,483 500,398,450 250,199,225 750,597,676 375,298,838 187,649,419 562,948,258 281,474,129 844,422,388 422,211,194 211,105,597 633,316,792 316,658,396 158,329,198 79,164,599 237,493,798 118,746,899 356,240,698 178,120,349 534,361,048 267,180,524 133,590,262 66,795,131

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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