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2,201,616

24 × 32 × 15289
Abundant Even Composite

2,201,616 factors as 2^4 × 3^2 × 15289. Its 30 positive divisors give a proper-divisor sum of 3,960,254, so this integer is abundant. The Collatz stopping time is 210 steps.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 15289
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 6,161,870
Proper Divisor Sum 3,960,254
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #2201603 ← → #2201623

Radix Representation

Decimal 2201616
Binary 1000011001100000010000 (22 bits)
Octal 0o10314020
Hexadecimal 0x219810

Divisor Catalog (30)

1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 15,289 30,578 45,867 61,156 91,734 122,312 137,601 183,468 244,624 275,202 366,936 550,404 733,872 1,100,808 2,201,616

Collatz Trajectory (210 steps to reach 1)

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

2,201,616 1,100,808 550,404 275,202 137,601 412,804 206,402 103,201 309,604 154,802 77,401 232,204 116,102 58,051 174,154 87,077 261,232 130,616 65,308 32,654 16,327 48,982 24,491 73,474 36,737 110,212 55,106 27,553 82,660 41,330 20,665 61,996 30,998 15,499 46,498 23,249 69,748 34,874 17,437 52,312 26,156 13,078 6,539 19,618 9,809 29,428 14,714 7,357 22,072 11,036 5,518 2,759 8,278 4,139 12,418 6,209 18,628 9,314 4,657 13,972

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