31,347,712

2¹⁰ × 11³ × 23

31,347,712 factors as 2^10 × 11^3 × 23. Its 88 positive divisors give a proper-divisor sum of 40,575,680, so this integer is abundant. The Collatz stopping time is 95 steps.

Prime Factor Structure

Factorization String 2^10 × 11^3 × 23

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 88

Divisor Sum (σ) 71,923,392

Proper Divisor Sum 40,575,680

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #31347709 ← → #31347713

Radix Representation

Decimal	31347712
Binary	1110111100101010000000000 (25 bits)
Octal	0o167452000
Hexadecimal	0x1DE5400

Divisor Catalog (60 of 88)

1 2 4 8 11 16 22 23 32 44 46 64 88 92 121 128 176 184 242 253 256 352 368 484 506 512 704 736 968 1,012 1,024 1,331 1,408 1,472 1,936 2,024 2,662 2,783 2,816 2,944 3,872 4,048 5,324 5,566 5,632 5,888 7,744 8,096 10,648 11,132 11,264 11,776 15,488 16,192 21,296 22,264 23,552 30,613 30,976 32,384

Collatz Trajectory (95 steps to reach 1)

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

31,347,712 15,673,856 7,836,928 3,918,464 1,959,232 979,616 489,808 244,904 122,452 61,226 30,613 91,840 45,920 22,960 11,480 5,740 2,870 1,435 4,306 2,153 6,460 3,230 1,615 4,846 2,423 7,270 3,635 10,906 5,453 16,360 8,180 4,090 2,045 6,136 3,068 1,534 767 2,302 1,151 3,454 1,727 5,182 2,591 7,774 3,887 11,662 5,831 17,494 8,747 26,242 13,121 39,364 19,682 9,841 29,524 14,762 7,381 22,144 11,072 5,536

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #31,347,711 Browse Full Index Next Integer #31,347,713 →