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Atlas › Integer Profiles › Node 12,565,240

12,565,240

23 × 5 × 53 × 5927
Abundant Even Composite

12,565,240 factors as 2^3 × 5 × 53 × 5927. Its 32 positive divisors give a proper-divisor sum of 16,244,840, so this integer is abundant. The Collatz stopping time is 135 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 53 × 5927
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 28,810,080
Proper Divisor Sum 16,244,840
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #12565219 ← → #12565243

Radix Representation

Decimal 12565240
Binary 101111111011101011111000 (24 bits)
Octal 0o57735370
Hexadecimal 0xBFBAF8

Divisor Catalog (32)

1 2 4 5 8 10 20 40 53 106 212 265 424 530 1,060 2,120 5,927 11,854 23,708 29,635 47,416 59,270 118,540 237,080 314,131 628,262 1,256,524 1,570,655 2,513,048 3,141,310 6,282,620 12,565,240

Collatz Trajectory (135 steps to reach 1)

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

12,565,240 6,282,620 3,141,310 1,570,655 4,711,966 2,355,983 7,067,950 3,533,975 10,601,926 5,300,963 15,902,890 7,951,445 23,854,336 11,927,168 5,963,584 2,981,792 1,490,896 745,448 372,724 186,362 93,181 279,544 139,772 69,886 34,943 104,830 52,415 157,246 78,623 235,870 117,935 353,806 176,903 530,710 265,355 796,066 398,033 1,194,100 597,050 298,525 895,576 447,788 223,894 111,947 335,842 167,921 503,764 251,882 125,941 377,824 188,912 94,456 47,228 23,614 11,807 35,422 17,711 53,134 26,567 79,702

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