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Atlas › Integer Profiles › Node 31,228,720

31,228,720

24 × 5 × 390359
Abundant Even Composite

31,228,720 factors as 2^4 × 5 × 390359. Its 20 positive divisors give a proper-divisor sum of 41,378,240, so this integer is abundant. The Collatz stopping time is 232 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 390359
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 72,606,960
Proper Divisor Sum 41,378,240
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #31228709 ← → #31228721

Radix Representation

Decimal 31228720
Binary 1110111001000001100110000 (25 bits)
Octal 0o167101460
Hexadecimal 0x1DC8330

Divisor Catalog (20)

1 2 4 5 8 10 16 20 40 80 390,359 780,718 1,561,436 1,951,795 3,122,872 3,903,590 6,245,744 7,807,180 15,614,360 31,228,720

Collatz Trajectory (232 steps to reach 1)

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

31,228,720 15,614,360 7,807,180 3,903,590 1,951,795 5,855,386 2,927,693 8,783,080 4,391,540 2,195,770 1,097,885 3,293,656 1,646,828 823,414 411,707 1,235,122 617,561 1,852,684 926,342 463,171 1,389,514 694,757 2,084,272 1,042,136 521,068 260,534 130,267 390,802 195,401 586,204 293,102 146,551 439,654 219,827 659,482 329,741 989,224 494,612 247,306 123,653 370,960 185,480 92,740 46,370 23,185 69,556 34,778 17,389 52,168 26,084 13,042 6,521 19,564 9,782 4,891 14,674 7,337 22,012 11,006 5,503

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