λ
Ratio Atlas
Atlas › Integer Profiles › Node 61,318,138
61,318,138
2 × 7 × 23 × 53 × 3593
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 7 × 23 × 53 × 3593
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 111,787,776
Proper Divisor Sum 50,469,638
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #61318123 ← → #61318157

Radix Representation

Decimal 61318138
Binary 11101001111010001111111010 (26 bits)
Octal 0o351721772
Hexadecimal 0x3A7A3FA

Divisor Catalog (32)

1 2 7 14 23 46 53 106 161 322 371 742 1,219 2,438 3,593 7,186 8,533 17,066 25,151 50,302 82,639 165,278 190,429 380,858 578,473 1,156,946 1,333,003 2,666,006 4,379,867 8,759,734 30,659,069 61,318,138

Collatz Trajectory (251 steps to reach 1)

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

61,318,138 30,659,069 91,977,208 45,988,604 22,994,302 11,497,151 34,491,454 17,245,727 51,737,182 25,868,591 77,605,774 38,802,887 116,408,662 58,204,331 174,612,994 87,306,497 261,919,492 130,959,746 65,479,873 196,439,620 98,219,810 49,109,905 147,329,716 73,664,858 36,832,429 110,497,288 55,248,644 27,624,322 13,812,161 41,436,484 20,718,242 10,359,121 31,077,364 15,538,682 7,769,341 23,308,024 11,654,012 5,827,006 2,913,503 8,740,510 4,370,255 13,110,766 6,555,383 19,666,150 9,833,075 29,499,226 14,749,613 44,248,840 22,124,420 11,062,210 5,531,105 16,593,316 8,296,658 4,148,329 12,444,988 6,222,494 3,111,247 9,333,742 4,666,871 14,000,614

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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