18,200,052

2² × 3⁴ × 13 × 29 × 149

18,200,052 factors as 2^2 × 3^4 × 13 × 29 × 149. Its 120 positive divisors give a proper-divisor sum of 35,160,948, so this integer is abundant. The Collatz stopping time is 226 steps.

Prime Factor Structure

Factorization String 2^2 × 3^4 × 13 × 29 × 149

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 53,361,000

Proper Divisor Sum 35,160,948

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #18200033 ← → #18200059

Radix Representation

Decimal	18200052
Binary	1000101011011010111110100 (25 bits)
Octal	0o105332764
Hexadecimal	0x115B5F4

Divisor Catalog (60 of 120)

1 2 3 4 6 9 12 13 18 26 27 29 36 39 52 54 58 78 81 87 108 116 117 149 156 162 174 234 261 298 324 348 351 377 447 468 522 596 702 754 783 894 1,044 1,053 1,131 1,341 1,404 1,508 1,566 1,788 1,937 2,106 2,262 2,349 2,682 3,132 3,393 3,874 4,023 4,212

Collatz Trajectory (226 steps to reach 1)

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

18,200,052 9,100,026 4,550,013 13,650,040 6,825,020 3,412,510 1,706,255 5,118,766 2,559,383 7,678,150 3,839,075 11,517,226 5,758,613 17,275,840 8,637,920 4,318,960 2,159,480 1,079,740 539,870 269,935 809,806 404,903 1,214,710 607,355 1,822,066 911,033 2,733,100 1,366,550 683,275 2,049,826 1,024,913 3,074,740 1,537,370 768,685 2,306,056 1,153,028 576,514 288,257 864,772 432,386 216,193 648,580 324,290 162,145 486,436 243,218 121,609 364,828 182,414 91,207 273,622 136,811 410,434 205,217 615,652 307,826 153,913 461,740 230,870 115,435

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #18,200,051 Browse Full Index Next Integer #18,200,053 →