λ
Ratio Atlas
Atlas › Integer Profiles › Node 48,759,711
48,759,711
3 × 7 × 11 × 132 × 1249
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7 × 11 × 13^2 × 1249
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 87,840,000
Proper Divisor Sum 39,080,289
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #48759709 ← → #48759743

Radix Representation

Decimal 48759711
Binary 10111010000000001110011111 (26 bits)
Octal 0o272001637
Hexadecimal 0x2E8039F

Divisor Catalog (48)

1 3 7 11 13 21 33 39 77 91 143 169 231 273 429 507 1,001 1,183 1,249 1,859 3,003 3,549 3,747 5,577 8,743 13,013 13,739 16,237 26,229 39,039 41,217 48,711 96,173 113,659 178,607 211,081 288,519 340,977 535,821 633,243 1,250,249 1,477,567 2,321,891 3,750,747 4,432,701 6,965,673 16,253,237 48,759,711

Collatz Trajectory (367 steps to reach 1)

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

48,759,711 146,279,134 73,139,567 219,418,702 109,709,351 329,128,054 164,564,027 493,692,082 246,846,041 740,538,124 370,269,062 185,134,531 555,403,594 277,701,797 833,105,392 416,552,696 208,276,348 104,138,174 52,069,087 156,207,262 78,103,631 234,310,894 117,155,447 351,466,342 175,733,171 527,199,514 263,599,757 790,799,272 395,399,636 197,699,818 98,849,909 296,549,728 148,274,864 74,137,432 37,068,716 18,534,358 9,267,179 27,801,538 13,900,769 41,702,308 20,851,154 10,425,577 31,276,732 15,638,366 7,819,183 23,457,550 11,728,775 35,186,326 17,593,163 52,779,490 26,389,745 79,169,236 39,584,618 19,792,309 59,376,928 29,688,464 14,844,232 7,422,116 3,711,058 1,855,529

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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