λ
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Atlas › Integer Profiles › Node 42,579,390

42,579,390

2 × 3 × 5 × 7 × 17 × 11927
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 5 × 7 × 17 × 11927
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 123,669,504
Proper Divisor Sum 81,090,114
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #42579359 ← → #42579391

Radix Representation

Decimal 42579390
Binary 10100010011011010110111110 (26 bits)
Octal 0o242332676
Hexadecimal 0x289B5BE

Divisor Catalog (60 of 64)

1 2 3 5 6 7 10 14 15 17 21 30 34 35 42 51 70 85 102 105 119 170 210 238 255 357 510 595 714 1,190 1,785 3,570 11,927 23,854 35,781 59,635 71,562 83,489 119,270 166,978 178,905 202,759 250,467 357,810 405,518 417,445 500,934 608,277 834,890 1,013,795 1,216,554 1,252,335 1,419,313 2,027,590 2,504,670 2,838,626 3,041,385 4,257,939 6,082,770 7,096,565

Collatz Trajectory (222 steps to reach 1)

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

42,579,390 21,289,695 63,869,086 31,934,543 95,803,630 47,901,815 143,705,446 71,852,723 215,558,170 107,779,085 323,337,256 161,668,628 80,834,314 40,417,157 121,251,472 60,625,736 30,312,868 15,156,434 7,578,217 22,734,652 11,367,326 5,683,663 17,050,990 8,525,495 25,576,486 12,788,243 38,364,730 19,182,365 57,547,096 28,773,548 14,386,774 7,193,387 21,580,162 10,790,081 32,370,244 16,185,122 8,092,561 24,277,684 12,138,842 6,069,421 18,208,264 9,104,132 4,552,066 2,276,033 6,828,100 3,414,050 1,707,025 5,121,076 2,560,538 1,280,269 3,840,808 1,920,404 960,202 480,101 1,440,304 720,152 360,076 180,038 90,019 270,058

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