λ
Ratio Atlas
Atlas › Integer Profiles › Node 68,309,725
68,309,725
52 × 11 × 89 × 2791
Deficient Odd Composite

Prime Factor Structure

Factorization String 5^2 × 11 × 89 × 2791
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 93,476,160
Proper Divisor Sum 25,166,435
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #68309713 ← → #68309749

Radix Representation

Decimal 68309725
Binary 100000100100101001011011101 (27 bits)
Octal 0o404451335
Hexadecimal 0x41252DD

Divisor Catalog (24)

1 5 11 25 55 89 275 445 979 2,225 2,791 4,895 13,955 24,475 30,701 69,775 153,505 248,399 767,525 1,241,995 2,732,389 6,209,975 13,661,945 68,309,725

Collatz Trajectory (215 steps to reach 1)

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

68,309,725 204,929,176 102,464,588 51,232,294 25,616,147 76,848,442 38,424,221 115,272,664 57,636,332 28,818,166 14,409,083 43,227,250 21,613,625 64,840,876 32,420,438 16,210,219 48,630,658 24,315,329 72,945,988 36,472,994 18,236,497 54,709,492 27,354,746 13,677,373 41,032,120 20,516,060 10,258,030 5,129,015 15,387,046 7,693,523 23,080,570 11,540,285 34,620,856 17,310,428 8,655,214 4,327,607 12,982,822 6,491,411 19,474,234 9,737,117 29,211,352 14,605,676 7,302,838 3,651,419 10,954,258 5,477,129 16,431,388 8,215,694 4,107,847 12,323,542 6,161,771 18,485,314 9,242,657 27,727,972 13,863,986 6,931,993 20,795,980 10,397,990 5,198,995 15,596,986

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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