31,290,134

2 × 41³ × 227

31,290,134 factors as 2 × 41^3 × 227. Its 16 positive divisors give a proper-divisor sum of 17,030,362, so this integer is deficient. The Collatz stopping time is 219 steps.

Prime Factor Structure

Factorization String 2 × 41^3 × 227

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 48,320,496

Proper Divisor Sum 17,030,362

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #31290089 ← → #31290167

Radix Representation

Decimal	31290134
Binary	1110111010111001100010110 (25 bits)
Octal	0o167271426
Hexadecimal	0x1DD7316

Divisor Catalog (16)

1 2 41 82 227 454 1,681 3,362 9,307 18,614 68,921 137,842 381,587 763,174 15,645,067 31,290,134

Collatz Trajectory (219 steps to reach 1)

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

31,290,134 15,645,067 46,935,202 23,467,601 70,402,804 35,201,402 17,600,701 52,802,104 26,401,052 13,200,526 6,600,263 19,800,790 9,900,395 29,701,186 14,850,593 44,551,780 22,275,890 11,137,945 33,413,836 16,706,918 8,353,459 25,060,378 12,530,189 37,590,568 18,795,284 9,397,642 4,698,821 14,096,464 7,048,232 3,524,116 1,762,058 881,029 2,643,088 1,321,544 660,772 330,386 165,193 495,580 247,790 123,895 371,686 185,843 557,530 278,765 836,296 418,148 209,074 104,537 313,612 156,806 78,403 235,210 117,605 352,816 176,408 88,204 44,102 22,051 66,154 33,077

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