31,997,358

2 × 3² × 293 × 6067

31,997,358 factors as 2 × 3^2 × 293 × 6067. Its 24 positive divisors give a proper-divisor sum of 37,578,330, so this integer is abundant. The Collatz stopping time is 263 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 293 × 6067

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 69,575,688

Proper Divisor Sum 37,578,330

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #31997351 ← → #31997359

Radix Representation

Decimal	31997358
Binary	1111010000011110110101110 (25 bits)
Octal	0o172036656
Hexadecimal	0x1E83DAE

Divisor Catalog (24)

Collatz Trajectory (263 steps to reach 1)

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

31,997,358 15,998,679 47,996,038 23,998,019 71,994,058 35,997,029 107,991,088 53,995,544 26,997,772 13,498,886 6,749,443 20,248,330 10,124,165 30,372,496 15,186,248 7,593,124 3,796,562 1,898,281 5,694,844 2,847,422 1,423,711 4,271,134 2,135,567 6,406,702 3,203,351 9,610,054 4,805,027 14,415,082 7,207,541 21,622,624 10,811,312 5,405,656 2,702,828 1,351,414 675,707 2,027,122 1,013,561 3,040,684 1,520,342 760,171 2,280,514 1,140,257 3,420,772 1,710,386 855,193 2,565,580 1,282,790 641,395 1,924,186 962,093 2,886,280 1,443,140 721,570 360,785 1,082,356 541,178 270,589 811,768 405,884 202,942

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