4,882,332

2² × 3 × 7 × 13 × 17 × 263

4,882,332 factors as 2^2 × 3 × 7 × 13 × 17 × 263. Its 96 positive divisors give a proper-divisor sum of 10,019,940, so this integer is abundant. The Collatz stopping time is 206 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 13 × 17 × 263

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 14,902,272

Proper Divisor Sum 10,019,940

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #4882331 ← → #4882333

Radix Representation

Decimal	4882332
Binary	10010100111111110011100 (23 bits)
Octal	0o22477634
Hexadecimal	0x4A7F9C

Divisor Catalog (60 of 96)

1 2 3 4 6 7 12 13 14 17 21 26 28 34 39 42 51 52 68 78 84 91 102 119 156 182 204 221 238 263 273 357 364 442 476 526 546 663 714 789 884 1,052 1,092 1,326 1,428 1,547 1,578 1,841 2,652 3,094 3,156 3,419 3,682 4,471 4,641 5,523 6,188 6,838 7,364 8,942

Collatz Trajectory (206 steps to reach 1)

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

4,882,332 2,441,166 1,220,583 3,661,750 1,830,875 5,492,626 2,746,313 8,238,940 4,119,470 2,059,735 6,179,206 3,089,603 9,268,810 4,634,405 13,903,216 6,951,608 3,475,804 1,737,902 868,951 2,606,854 1,303,427 3,910,282 1,955,141 5,865,424 2,932,712 1,466,356 733,178 366,589 1,099,768 549,884 274,942 137,471 412,414 206,207 618,622 309,311 927,934 463,967 1,391,902 695,951 2,087,854 1,043,927 3,131,782 1,565,891 4,697,674 2,348,837 7,046,512 3,523,256 1,761,628 880,814 440,407 1,321,222 660,611 1,981,834 990,917 2,972,752 1,486,376 743,188 371,594 185,797

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