471,708

2² × 3² × 13103

471,708 factors as 2^2 × 3^2 × 13103. Its 18 positive divisors give a proper-divisor sum of 720,756, so this integer is abundant. The Collatz stopping time is 125 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 13103

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 1,192,464

Proper Divisor Sum 720,756

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #471703 ← → #471719

Radix Representation

Decimal	471708
Binary	1110011001010011100 (19 bits)
Octal	0o1631234
Hexadecimal	0x7329C

Divisor Catalog (18)

1 2 3 4 6 9 12 18 36 13,103 26,206 39,309 52,412 78,618 117,927 157,236 235,854 471,708

Collatz Trajectory (125 steps to reach 1)

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

471,708 235,854 117,927 353,782 176,891 530,674 265,337 796,012 398,006 199,003 597,010 298,505 895,516 447,758 223,879 671,638 335,819 1,007,458 503,729 1,511,188 755,594 377,797 1,133,392 566,696 283,348 141,674 70,837 212,512 106,256 53,128 26,564 13,282 6,641 19,924 9,962 4,981 14,944 7,472 3,736 1,868 934 467 1,402 701 2,104 1,052 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502

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