31,479,948

2² × 3³ × 291481

31,479,948 factors as 2^2 × 3^3 × 291481. Its 24 positive divisors give a proper-divisor sum of 50,135,012, so this integer is abundant. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 291481

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 81,614,960

Proper Divisor Sum 50,135,012

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #31479947 ← → #31479949

Radix Representation

Decimal	31479948
Binary	1111000000101100010001100 (25 bits)
Octal	0o170054214
Hexadecimal	0x1E0588C

Divisor Catalog (24)

Collatz Trajectory (149 steps to reach 1)

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

31,479,948 15,739,974 7,869,987 23,609,962 11,804,981 35,414,944 17,707,472 8,853,736 4,426,868 2,213,434 1,106,717 3,320,152 1,660,076 830,038 415,019 1,245,058 622,529 1,867,588 933,794 466,897 1,400,692 700,346 350,173 1,050,520 525,260 262,630 131,315 393,946 196,973 590,920 295,460 147,730 73,865 221,596 110,798 55,399 166,198 83,099 249,298 124,649 373,948 186,974 93,487 280,462 140,231 420,694 210,347 631,042 315,521 946,564 473,282 236,641 709,924 354,962 177,481 532,444 266,222 133,111 399,334 199,667

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