5,611,836

2² × 3 × 17 × 27509

5,611,836 factors as 2^2 × 3 × 17 × 27509. Its 24 positive divisors give a proper-divisor sum of 8,253,204, so this integer is abundant. The Collatz stopping time is 131 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 17 × 27509

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 13,865,040

Proper Divisor Sum 8,253,204

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #5611831 ← → #5611841

Radix Representation

Decimal	5611836
Binary	10101011010000100111100 (23 bits)
Octal	0o25320474
Hexadecimal	0x55A13C

Divisor Catalog (24)

1 2 3 4 6 12 17 34 51 68 102 204 27,509 55,018 82,527 110,036 165,054 330,108 467,653 935,306 1,402,959 1,870,612 2,805,918 5,611,836

Collatz Trajectory (131 steps to reach 1)

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

5,611,836 2,805,918 1,402,959 4,208,878 2,104,439 6,313,318 3,156,659 9,469,978 4,734,989 14,204,968 7,102,484 3,551,242 1,775,621 5,326,864 2,663,432 1,331,716 665,858 332,929 998,788 499,394 249,697 749,092 374,546 187,273 561,820 280,910 140,455 421,366 210,683 632,050 316,025 948,076 474,038 237,019 711,058 355,529 1,066,588 533,294 266,647 799,942 399,971 1,199,914 599,957 1,799,872 899,936 449,968 224,984 112,492 56,246 28,123 84,370 42,185 126,556 63,278 31,639 94,918 47,459 142,378 71,189 213,568

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