31,270,662

2 × 3² × 23 × 75533

31,270,662 factors as 2 × 3^2 × 23 × 75533. Its 24 positive divisors give a proper-divisor sum of 39,429,162, so this integer is abundant. The Collatz stopping time is 188 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 23 × 75533

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 70,699,824

Proper Divisor Sum 39,429,162

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #31270627 ← → #31270663

Radix Representation

Decimal	31270662
Binary	1110111010010011100000110 (25 bits)
Octal	0o167223406
Hexadecimal	0x1DD2706

Divisor Catalog (24)

Collatz Trajectory (188 steps to reach 1)

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

31,270,662 15,635,331 46,905,994 23,452,997 70,358,992 35,179,496 17,589,748 8,794,874 4,397,437 13,192,312 6,596,156 3,298,078 1,649,039 4,947,118 2,473,559 7,420,678 3,710,339 11,131,018 5,565,509 16,696,528 8,348,264 4,174,132 2,087,066 1,043,533 3,130,600 1,565,300 782,650 391,325 1,173,976 586,988 293,494 146,747 440,242 220,121 660,364 330,182 165,091 495,274 247,637 742,912 371,456 185,728 92,864 46,432 23,216 11,608 5,804 2,902 1,451 4,354 2,177 6,532 3,266 1,633 4,900 2,450 1,225 3,676 1,838 919

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