3,131,604

2² × 3² × 7 × 17² × 43

3,131,604 has digital root 9. The neighboring primes are 3131603 and 3131629; its proper-divisor sum differs from the starting integer by 3,570,616.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 7 × 17^2 × 43

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 108

Divisor Sum (σ) 9,833,824

Proper Divisor Sum 6,702,220

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #3131603 ← → #3131629

Radix Representation

Decimal	3131604
Binary	1011111100100011010100 (22 bits)
Octal	0o13744324
Hexadecimal	0x2FC8D4

Divisor Catalog (60 of 108)

1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 43 51 63 68 84 86 102 119 126 129 153 172 204 238 252 258 289 301 306 357 387 476 516 578 602 612 714 731 774 867 903 1,071 1,156 1,204 1,428 1,462 1,548 1,734 1,806 2,023 2,142 2,193 2,601 2,709

Collatz Trajectory (133 steps to reach 1)

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

3,131,604 1,565,802 782,901 2,348,704 1,174,352 587,176 293,588 146,794 73,397 220,192 110,096 55,048 27,524 13,762 6,881 20,644 10,322 5,161 15,484 7,742 3,871 11,614 5,807 17,422 8,711 26,134 13,067 39,202 19,601 58,804 29,402 14,701 44,104 22,052 11,026 5,513 16,540 8,270 4,135 12,406 6,203 18,610 9,305 27,916 13,958 6,979 20,938 10,469 31,408 15,704 7,852 3,926 1,963 5,890 2,945 8,836 4,418 2,209 6,628 3,314

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