31,582,228

2² × 59 × 163 × 821

31,582,228 factors as 2^2 × 59 × 163 × 821. Its 24 positive divisors give a proper-divisor sum of 25,037,132, so this integer is deficient. The Collatz stopping time is 356 steps.

Prime Factor Structure

Factorization String 2^2 × 59 × 163 × 821

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 56,619,360

Proper Divisor Sum 25,037,132

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #31582217 ← → #31582241

Radix Representation

Decimal	31582228
Binary	1111000011110100000010100 (25 bits)
Octal	0o170364024
Hexadecimal	0x1E1E814

Divisor Catalog (24)

Collatz Trajectory (356 steps to reach 1)

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

31,582,228 15,791,114 7,895,557 23,686,672 11,843,336 5,921,668 2,960,834 1,480,417 4,441,252 2,220,626 1,110,313 3,330,940 1,665,470 832,735 2,498,206 1,249,103 3,747,310 1,873,655 5,620,966 2,810,483 8,431,450 4,215,725 12,647,176 6,323,588 3,161,794 1,580,897 4,742,692 2,371,346 1,185,673 3,557,020 1,778,510 889,255 2,667,766 1,333,883 4,001,650 2,000,825 6,002,476 3,001,238 1,500,619 4,501,858 2,250,929 6,752,788 3,376,394 1,688,197 5,064,592 2,532,296 1,266,148 633,074 316,537 949,612 474,806 237,403 712,210 356,105 1,068,316 534,158 267,079 801,238 400,619 1,201,858

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