11,555,236

2² × 7 × 11 × 37517

11,555,236 factors as 2^2 × 7 × 11 × 37517. Its 24 positive divisors give a proper-divisor sum of 13,656,860, so this integer is abundant. The Collatz stopping time is 215 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 11 × 37517

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 25,212,096

Proper Divisor Sum 13,656,860

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #11555213 ← → #11555263

Radix Representation

Decimal	11555236
Binary	101100000101000110100100 (24 bits)
Octal	0o54050644
Hexadecimal	0xB051A4

Divisor Catalog (24)

Collatz Trajectory (215 steps to reach 1)

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

11,555,236 5,777,618 2,888,809 8,666,428 4,333,214 2,166,607 6,499,822 3,249,911 9,749,734 4,874,867 14,624,602 7,312,301 21,936,904 10,968,452 5,484,226 2,742,113 8,226,340 4,113,170 2,056,585 6,169,756 3,084,878 1,542,439 4,627,318 2,313,659 6,940,978 3,470,489 10,411,468 5,205,734 2,602,867 7,808,602 3,904,301 11,712,904 5,856,452 2,928,226 1,464,113 4,392,340 2,196,170 1,098,085 3,294,256 1,647,128 823,564 411,782 205,891 617,674 308,837 926,512 463,256 231,628 115,814 57,907 173,722 86,861 260,584 130,292 65,146 32,573 97,720 48,860 24,430 12,215

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