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2,269,488

24 × 3 × 13 × 3637
Abundant Even Composite

2,269,488 factors as 2^4 × 3 × 13 × 3637. Its 40 positive divisors give a proper-divisor sum of 4,046,080, so this integer is abundant. The Collatz stopping time is 86 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 13 × 3637
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 6,315,568
Proper Divisor Sum 4,046,080
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #2269481 ← → #2269499

Radix Representation

Decimal 2269488
Binary 1000101010000100110000 (22 bits)
Octal 0o10520460
Hexadecimal 0x22A130

Divisor Catalog (40)

1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 3,637 7,274 10,911 14,548 21,822 29,096 43,644 47,281 58,192 87,288 94,562 141,843 174,576 189,124 283,686 378,248 567,372 756,496 1,134,744 2,269,488

Collatz Trajectory (86 steps to reach 1)

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

2,269,488 1,134,744 567,372 283,686 141,843 425,530 212,765 638,296 319,148 159,574 79,787 239,362 119,681 359,044 179,522 89,761 269,284 134,642 67,321 201,964 100,982 50,491 151,474 75,737 227,212 113,606 56,803 170,410 85,205 255,616 127,808 63,904 31,952 15,976 7,988 3,994 1,997 5,992 2,996 1,498 749 2,248 1,124 562 281 844 422 211 634 317 952 476 238 119 358 179 538 269 808 404

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