916,596

2² × 3⁵ × 23 × 41

916,596 factors as 2^2 × 3^5 × 23 × 41. Its 72 positive divisors give a proper-divisor sum of 1,651,788, so this integer is abundant. The Collatz stopping time is 201 steps.

Prime Factor Structure

Factorization String 2^2 × 3^5 × 23 × 41

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 2,568,384

Proper Divisor Sum 1,651,788

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #916583 ← → #916613

Radix Representation

Decimal	916596
Binary	11011111110001110100 (20 bits)
Octal	0o3376164
Hexadecimal	0xDFC74

Divisor Catalog (60 of 72)

1 2 3 4 6 9 12 18 23 27 36 41 46 54 69 81 82 92 108 123 138 162 164 207 243 246 276 324 369 414 486 492 621 738 828 943 972 1,107 1,242 1,476 1,863 1,886 2,214 2,484 2,829 3,321 3,726 3,772 4,428 5,589 5,658 6,642 7,452 8,487 9,963 11,178 11,316 13,284 16,974 19,926

Collatz Trajectory (201 steps to reach 1)

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

916,596 458,298 229,149 687,448 343,724 171,862 85,931 257,794 128,897 386,692 193,346 96,673 290,020 145,010 72,505 217,516 108,758 54,379 163,138 81,569 244,708 122,354 61,177 183,532 91,766 45,883 137,650 68,825 206,476 103,238 51,619 154,858 77,429 232,288 116,144 58,072 29,036 14,518 7,259 21,778 10,889 32,668 16,334 8,167 24,502 12,251 36,754 18,377 55,132 27,566 13,783 41,350 20,675 62,026 31,013 93,040 46,520 23,260 11,630 5,815

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