17,823,940

2² × 5 × 269 × 3313

17,823,940 factors as 2^2 × 5 × 269 × 3313. Its 24 positive divisors give a proper-divisor sum of 19,756,820, so this integer is abundant. The Collatz stopping time is 120 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 269 × 3313

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 37,580,760

Proper Divisor Sum 19,756,820

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #17823937 ← → #17823961

Radix Representation

Decimal	17823940
Binary	1000011111111100011000100 (25 bits)
Octal	0o103774304
Hexadecimal	0x10FF8C4

Divisor Catalog (24)

Collatz Trajectory (120 steps to reach 1)

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

17,823,940 8,911,970 4,455,985 13,367,956 6,683,978 3,341,989 10,025,968 5,012,984 2,506,492 1,253,246 626,623 1,879,870 939,935 2,819,806 1,409,903 4,229,710 2,114,855 6,344,566 3,172,283 9,516,850 4,758,425 14,275,276 7,137,638 3,568,819 10,706,458 5,353,229 16,059,688 8,029,844 4,014,922 2,007,461 6,022,384 3,011,192 1,505,596 752,798 376,399 1,129,198 564,599 1,693,798 846,899 2,540,698 1,270,349 3,811,048 1,905,524 952,762 476,381 1,429,144 714,572 357,286 178,643 535,930 267,965 803,896 401,948 200,974 100,487 301,462 150,731 452,194 226,097 678,292

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