λ
Ratio Atlas
Atlas › Integer Profiles › Node 71,479,902
71,479,902
2 × 3 × 132 × 157 × 449
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 13^2 × 157 × 449
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 156,135,600
Proper Divisor Sum 84,655,698
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #71479897 ← → #71479907

Radix Representation

Decimal 71479902
Binary 100010000101011001001011110 (27 bits)
Octal 0o420531136
Hexadecimal 0x442B25E

Divisor Catalog (48)

1 2 3 6 13 26 39 78 157 169 314 338 449 471 507 898 942 1,014 1,347 2,041 2,694 4,082 5,837 6,123 11,674 12,246 17,511 26,533 35,022 53,066 70,493 75,881 79,599 140,986 151,762 159,198 211,479 227,643 422,958 455,286 916,409 1,832,818 2,749,227 5,498,454 11,913,317 23,826,634 35,739,951 71,479,902

Collatz Trajectory (259 steps to reach 1)

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

71,479,902 35,739,951 107,219,854 53,609,927 160,829,782 80,414,891 241,244,674 120,622,337 361,867,012 180,933,506 90,466,753 271,400,260 135,700,130 67,850,065 203,550,196 101,775,098 50,887,549 152,662,648 76,331,324 38,165,662 19,082,831 57,248,494 28,624,247 85,872,742 42,936,371 128,809,114 64,404,557 193,213,672 96,606,836 48,303,418 24,151,709 72,455,128 36,227,564 18,113,782 9,056,891 27,170,674 13,585,337 40,756,012 20,378,006 10,189,003 30,567,010 15,283,505 45,850,516 22,925,258 11,462,629 34,387,888 17,193,944 8,596,972 4,298,486 2,149,243 6,447,730 3,223,865 9,671,596 4,835,798 2,417,899 7,253,698 3,626,849 10,880,548 5,440,274 2,720,137

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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