λ
Ratio Atlas
Atlas › Integer Profiles › Node 46,048,835
46,048,835
5 × 7 × 17 × 193 × 401
Deficient Odd Composite

Prime Factor Structure

Factorization String 5 × 7 × 17 × 193 × 401
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 67,381,632
Proper Divisor Sum 21,332,797
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #46048819 ← → #46048843

Radix Representation

Decimal 46048835
Binary 10101111101010011001000011 (26 bits)
Octal 0o257523103
Hexadecimal 0x2BEA643

Divisor Catalog (32)

1 5 7 17 35 85 119 193 401 595 965 1,351 2,005 2,807 3,281 6,755 6,817 14,035 16,405 22,967 34,085 47,719 77,393 114,835 238,595 386,965 541,751 1,315,681 2,708,755 6,578,405 9,209,767 46,048,835

Collatz Trajectory (279 steps to reach 1)

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

46,048,835 138,146,506 69,073,253 207,219,760 103,609,880 51,804,940 25,902,470 12,951,235 38,853,706 19,426,853 58,280,560 29,140,280 14,570,140 7,285,070 3,642,535 10,927,606 5,463,803 16,391,410 8,195,705 24,587,116 12,293,558 6,146,779 18,440,338 9,220,169 27,660,508 13,830,254 6,915,127 20,745,382 10,372,691 31,118,074 15,559,037 46,677,112 23,338,556 11,669,278 5,834,639 17,503,918 8,751,959 26,255,878 13,127,939 39,383,818 19,691,909 59,075,728 29,537,864 14,768,932 7,384,466 3,692,233 11,076,700 5,538,350 2,769,175 8,307,526 4,153,763 12,461,290 6,230,645 18,691,936 9,345,968 4,672,984 2,336,492 1,168,246 584,123 1,752,370

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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