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Atlas › Integer Profiles › Node 22,639,120

22,639,120

24 × 5 × 7 × 40427
Abundant Even Composite

22,639,120 factors as 2^4 × 5 × 7 × 40427. Its 40 positive divisors give a proper-divisor sum of 37,517,744, so this integer is abundant. The Collatz stopping time is 79 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 7 × 40427
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 60,156,864
Proper Divisor Sum 37,517,744
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #22639103 ← → #22639139

Radix Representation

Decimal 22639120
Binary 1010110010111001000010000 (25 bits)
Octal 0o126271020
Hexadecimal 0x1597210

Divisor Catalog (40)

1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 40,427 80,854 161,708 202,135 282,989 323,416 404,270 565,978 646,832 808,540 1,131,956 1,414,945 1,617,080 2,263,912 2,829,890 3,234,160 4,527,824 5,659,780 11,319,560 22,639,120

Collatz Trajectory (79 steps to reach 1)

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

22,639,120 11,319,560 5,659,780 2,829,890 1,414,945 4,244,836 2,122,418 1,061,209 3,183,628 1,591,814 795,907 2,387,722 1,193,861 3,581,584 1,790,792 895,396 447,698 223,849 671,548 335,774 167,887 503,662 251,831 755,494 377,747 1,133,242 566,621 1,699,864 849,932 424,966 212,483 637,450 318,725 956,176 478,088 239,044 119,522 59,761 179,284 89,642 44,821 134,464 67,232 33,616 16,808 8,404 4,202 2,101 6,304 3,152 1,576 788 394 197 592 296 148 74 37 112

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