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Atlas › Integer Profiles › Node 31,312,840

31,312,840

23 × 5 × 13 × 60217
Abundant Even Composite

31,312,840 factors as 2^3 × 5 × 13 × 60217. Its 32 positive divisors give a proper-divisor sum of 44,561,840, so this integer is abundant. The Collatz stopping time is 188 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 13 × 60217
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 75,874,680
Proper Divisor Sum 44,561,840
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #31312823 ← → #31312847

Radix Representation

Decimal 31312840
Binary 1110111011100101111001000 (25 bits)
Octal 0o167345710
Hexadecimal 0x1DDCBC8

Divisor Catalog (32)

1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 60,217 120,434 240,868 301,085 481,736 602,170 782,821 1,204,340 1,565,642 2,408,680 3,131,284 3,914,105 6,262,568 7,828,210 15,656,420 31,312,840

Collatz Trajectory (188 steps to reach 1)

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

31,312,840 15,656,420 7,828,210 3,914,105 11,742,316 5,871,158 2,935,579 8,806,738 4,403,369 13,210,108 6,605,054 3,302,527 9,907,582 4,953,791 14,861,374 7,430,687 22,292,062 11,146,031 33,438,094 16,719,047 50,157,142 25,078,571 75,235,714 37,617,857 112,853,572 56,426,786 28,213,393 84,640,180 42,320,090 21,160,045 63,480,136 31,740,068 15,870,034 7,935,017 23,805,052 11,902,526 5,951,263 17,853,790 8,926,895 26,780,686 13,390,343 40,171,030 20,085,515 60,256,546 30,128,273 90,384,820 45,192,410 22,596,205 67,788,616 33,894,308 16,947,154 8,473,577 25,420,732 12,710,366 6,355,183 19,065,550 9,532,775 28,598,326 14,299,163 42,897,490

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