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17,548,804

22 × 7 × 13 × 37 × 1303
Abundant Even Composite

17,548,804 factors as 2^2 × 7 × 13 × 37 × 1303. Its 48 positive divisors give a proper-divisor sum of 21,299,964, so this integer is abundant. The Collatz stopping time is 151 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 13 × 37 × 1303
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 38,848,768
Proper Divisor Sum 21,299,964
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #17548801 ← → #17548807

Radix Representation

Decimal 17548804
Binary 1000010111100011000000100 (25 bits)
Octal 0o102743004
Hexadecimal 0x10BC604

Divisor Catalog (48)

1 2 4 7 13 14 26 28 37 52 74 91 148 182 259 364 481 518 962 1,036 1,303 1,924 2,606 3,367 5,212 6,734 9,121 13,468 16,939 18,242 33,878 36,484 48,211 67,756 96,422 118,573 192,844 237,146 337,477 474,292 626,743 674,954 1,253,486 1,349,908 2,506,972 4,387,201 8,774,402 17,548,804

Collatz Trajectory (151 steps to reach 1)

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

17,548,804 8,774,402 4,387,201 13,161,604 6,580,802 3,290,401 9,871,204 4,935,602 2,467,801 7,403,404 3,701,702 1,850,851 5,552,554 2,776,277 8,328,832 4,164,416 2,082,208 1,041,104 520,552 260,276 130,138 65,069 195,208 97,604 48,802 24,401 73,204 36,602 18,301 54,904 27,452 13,726 6,863 20,590 10,295 30,886 15,443 46,330 23,165 69,496 34,748 17,374 8,687 26,062 13,031 39,094 19,547 58,642 29,321 87,964 43,982 21,991 65,974 32,987 98,962 49,481 148,444 74,222 37,111 111,334

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