λ
Ratio Atlas
Atlas › Integer Profiles › Node 61,375,800
61,375,800
23 × 3 × 52 × 102293
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 5^2 × 102293
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 190,266,840
Proper Divisor Sum 128,891,040
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #61375793 ← → #61375801

Radix Representation

Decimal 61375800
Binary 11101010001000010100111000 (26 bits)
Octal 0o352102470
Hexadecimal 0x3A88538

Divisor Catalog (48)

1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 102,293 204,586 306,879 409,172 511,465 613,758 818,344 1,022,930 1,227,516 1,534,395 2,045,860 2,455,032 2,557,325 3,068,790 4,091,720 5,114,650 6,137,580 7,671,975 10,229,300 12,275,160 15,343,950 20,458,600 30,687,900 61,375,800

Collatz Trajectory (212 steps to reach 1)

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

61,375,800 30,687,900 15,343,950 7,671,975 23,015,926 11,507,963 34,523,890 17,261,945 51,785,836 25,892,918 12,946,459 38,839,378 19,419,689 58,259,068 29,129,534 14,564,767 43,694,302 21,847,151 65,541,454 32,770,727 98,312,182 49,156,091 147,468,274 73,734,137 221,202,412 110,601,206 55,300,603 165,901,810 82,950,905 248,852,716 124,426,358 62,213,179 186,639,538 93,319,769 279,959,308 139,979,654 69,989,827 209,969,482 104,984,741 314,954,224 157,477,112 78,738,556 39,369,278 19,684,639 59,053,918 29,526,959 88,580,878 44,290,439 132,871,318 66,435,659 199,306,978 99,653,489 298,960,468 149,480,234 74,740,117 224,220,352 112,110,176 56,055,088 28,027,544 14,013,772

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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