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Atlas › Integer Profiles › Node 31,389,640

31,389,640

23 × 5 × 277 × 2833
Abundant Even Composite

31,389,640 factors as 2^3 × 5 × 277 × 2833. Its 32 positive divisors give a proper-divisor sum of 39,517,040, so this integer is abundant. The Collatz stopping time is 219 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 277 × 2833
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 70,906,680
Proper Divisor Sum 39,517,040
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #31389637 ← → #31389643

Radix Representation

Decimal 31389640
Binary 1110111101111011111001000 (25 bits)
Octal 0o167573710
Hexadecimal 0x1DEF7C8

Divisor Catalog (32)

1 2 4 5 8 10 20 40 277 554 1,108 1,385 2,216 2,770 2,833 5,540 5,666 11,080 11,332 14,165 22,664 28,330 56,660 113,320 784,741 1,569,482 3,138,964 3,923,705 6,277,928 7,847,410 15,694,820 31,389,640

Collatz Trajectory (219 steps to reach 1)

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

31,389,640 15,694,820 7,847,410 3,923,705 11,771,116 5,885,558 2,942,779 8,828,338 4,414,169 13,242,508 6,621,254 3,310,627 9,931,882 4,965,941 14,897,824 7,448,912 3,724,456 1,862,228 931,114 465,557 1,396,672 698,336 349,168 174,584 87,292 43,646 21,823 65,470 32,735 98,206 49,103 147,310 73,655 220,966 110,483 331,450 165,725 497,176 248,588 124,294 62,147 186,442 93,221 279,664 139,832 69,916 34,958 17,479 52,438 26,219 78,658 39,329 117,988 58,994 29,497 88,492 44,246 22,123 66,370 33,185

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