λ
Ratio Atlas
Atlas › Integer Profiles › Node 72,532,750
72,532,750
2 × 53 × 47 × 6173
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 5^3 × 47 × 6173
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 138,692,736
Proper Divisor Sum 66,159,986
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #72532739 ← → #72532751

Radix Representation

Decimal 72532750
Binary 100010100101100001100001110 (27 bits)
Octal 0o424541416
Hexadecimal 0x452C30E

Divisor Catalog (32)

1 2 5 10 25 47 50 94 125 235 250 470 1,175 2,350 5,875 6,173 11,750 12,346 30,865 61,730 154,325 290,131 308,650 580,262 771,625 1,450,655 1,543,250 2,901,310 7,253,275 14,506,550 36,266,375 72,532,750

Collatz Trajectory (215 steps to reach 1)

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

72,532,750 36,266,375 108,799,126 54,399,563 163,198,690 81,599,345 244,798,036 122,399,018 61,199,509 183,598,528 91,799,264 45,899,632 22,949,816 11,474,908 5,737,454 2,868,727 8,606,182 4,303,091 12,909,274 6,454,637 19,363,912 9,681,956 4,840,978 2,420,489 7,261,468 3,630,734 1,815,367 5,446,102 2,723,051 8,169,154 4,084,577 12,253,732 6,126,866 3,063,433 9,190,300 4,595,150 2,297,575 6,892,726 3,446,363 10,339,090 5,169,545 15,508,636 7,754,318 3,877,159 11,631,478 5,815,739 17,447,218 8,723,609 26,170,828 13,085,414 6,542,707 19,628,122 9,814,061 29,442,184 14,721,092 7,360,546 3,680,273 11,040,820 5,520,410 2,760,205

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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