21,318,100

2² × 5² × 213181

21,318,100 factors as 2^2 × 5^2 × 213181. Its 18 positive divisors give a proper-divisor sum of 24,942,394, so this integer is abundant. The Collatz stopping time is 190 steps.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 213181

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 46,260,494

Proper Divisor Sum 24,942,394

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #21318091 ← → #21318109

Radix Representation

Decimal	21318100
Binary	1010001010100100111010100 (25 bits)
Octal	0o121244724
Hexadecimal	0x14549D4

Divisor Catalog (18)

1 2 4 5 10 20 25 50 100 213,181 426,362 852,724 1,065,905 2,131,810 4,263,620 5,329,525 10,659,050 21,318,100

Collatz Trajectory (190 steps to reach 1)

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

21,318,100 10,659,050 5,329,525 15,988,576 7,994,288 3,997,144 1,998,572 999,286 499,643 1,498,930 749,465 2,248,396 1,124,198 562,099 1,686,298 843,149 2,529,448 1,264,724 632,362 316,181 948,544 474,272 237,136 118,568 59,284 29,642 14,821 44,464 22,232 11,116 5,558 2,779 8,338 4,169 12,508 6,254 3,127 9,382 4,691 14,074 7,037 21,112 10,556 5,278 2,639 7,918 3,959 11,878 5,939 17,818 8,909 26,728 13,364 6,682 3,341 10,024 5,012 2,506 1,253 3,760

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