λ
Ratio Atlas
Atlas › Integer Profiles › Node 61,318,968
61,318,968
23 × 3 × 467 × 5471
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 467 × 5471
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 153,653,760
Proper Divisor Sum 92,334,792
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #61318967 ← → #61318981

Radix Representation

Decimal 61318968
Binary 11101001111010011100111000 (26 bits)
Octal 0o351723470
Hexadecimal 0x3A7A738

Divisor Catalog (32)

1 2 3 4 6 8 12 24 467 934 1,401 1,868 2,802 3,736 5,471 5,604 10,942 11,208 16,413 21,884 32,826 43,768 65,652 131,304 2,554,957 5,109,914 7,664,871 10,219,828 15,329,742 20,439,656 30,659,484 61,318,968

Collatz Trajectory (264 steps to reach 1)

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

61,318,968 30,659,484 15,329,742 7,664,871 22,994,614 11,497,307 34,491,922 17,245,961 51,737,884 25,868,942 12,934,471 38,803,414 19,401,707 58,205,122 29,102,561 87,307,684 43,653,842 21,826,921 65,480,764 32,740,382 16,370,191 49,110,574 24,555,287 73,665,862 36,832,931 110,498,794 55,249,397 165,748,192 82,874,096 41,437,048 20,718,524 10,359,262 5,179,631 15,538,894 7,769,447 23,308,342 11,654,171 34,962,514 17,481,257 52,443,772 26,221,886 13,110,943 39,332,830 19,666,415 58,999,246 29,499,623 88,498,870 44,249,435 132,748,306 66,374,153 199,122,460 99,561,230 49,780,615 149,341,846 74,670,923 224,012,770 112,006,385 336,019,156 168,009,578 84,004,789

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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