646,884

2² × 3² × 7 × 17 × 151

646,884 factors as 2^2 × 3^2 × 7 × 17 × 151. Its 72 positive divisors give a proper-divisor sum of 1,344,924, so this integer is abundant. The Collatz stopping time is 92 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 7 × 17 × 151

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 1,991,808

Proper Divisor Sum 1,344,924

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #646883 ← → #646889

Radix Representation

Decimal	646884
Binary	10011101111011100100 (20 bits)
Octal	0o2357344
Hexadecimal	0x9DEE4

Divisor Catalog (60 of 72)

1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 151 153 204 238 252 302 306 357 453 476 604 612 714 906 1,057 1,071 1,359 1,428 1,812 2,114 2,142 2,567 2,718 3,171 4,228 4,284 5,134 5,436 6,342 7,701 9,513 10,268 12,684 15,402 17,969 19,026 23,103

Collatz Trajectory (92 steps to reach 1)

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

646,884 323,442 161,721 485,164 242,582 121,291 363,874 181,937 545,812 272,906 136,453 409,360 204,680 102,340 51,170 25,585 76,756 38,378 19,189 57,568 28,784 14,392 7,196 3,598 1,799 5,398 2,699 8,098 4,049 12,148 6,074 3,037 9,112 4,556 2,278 1,139 3,418 1,709 5,128 2,564 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688

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