23,763,528

2³ × 3² × 19 × 29 × 599

23,763,528 factors as 2^3 × 3^2 × 19 × 29 × 599. Its 96 positive divisors give a proper-divisor sum of 46,436,472, so this integer is abundant. The Collatz stopping time is 167 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 19 × 29 × 599

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 70,200,000

Proper Divisor Sum 46,436,472

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #23763517 ← → #23763533

Radix Representation

Decimal	23763528
Binary	1011010101001101001001000 (25 bits)
Octal	0o132515110
Hexadecimal	0x16A9A48

Divisor Catalog (60 of 96)

1 2 3 4 6 8 9 12 18 19 24 29 36 38 57 58 72 76 87 114 116 152 171 174 228 232 261 342 348 456 522 551 599 684 696 1,044 1,102 1,198 1,368 1,653 1,797 2,088 2,204 2,396 3,306 3,594 4,408 4,792 4,959 5,391 6,612 7,188 9,918 10,782 11,381 13,224 14,376 17,371 19,836 21,564

Collatz Trajectory (167 steps to reach 1)

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

23,763,528 11,881,764 5,940,882 2,970,441 8,911,324 4,455,662 2,227,831 6,683,494 3,341,747 10,025,242 5,012,621 15,037,864 7,518,932 3,759,466 1,879,733 5,639,200 2,819,600 1,409,800 704,900 352,450 176,225 528,676 264,338 132,169 396,508 198,254 99,127 297,382 148,691 446,074 223,037 669,112 334,556 167,278 83,639 250,918 125,459 376,378 188,189 564,568 282,284 141,142 70,571 211,714 105,857 317,572 158,786 79,393 238,180 119,090 59,545 178,636 89,318 44,659 133,978 66,989 200,968 100,484 50,242 25,121

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