17,810,242

2 × 523 × 17027

17,810,242 factors as 2 × 523 × 17027. Its 8 positive divisors give a proper-divisor sum of 8,957,774, so this integer is deficient. The Collatz stopping time is 120 steps.

Prime Factor Structure

Factorization String 2 × 523 × 17027

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 26,768,016

Proper Divisor Sum 8,957,774

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #17810189 ← → #17810249

Radix Representation

Decimal	17810242
Binary	1000011111100001101000010 (25 bits)
Octal	0o103741502
Hexadecimal	0x10FC342

Divisor Catalog (8)

1 2 523 1,046 17,027 34,054 8,905,121 17,810,242

Collatz Trajectory (120 steps to reach 1)

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

17,810,242 8,905,121 26,715,364 13,357,682 6,678,841 20,036,524 10,018,262 5,009,131 15,027,394 7,513,697 22,541,092 11,270,546 5,635,273 16,905,820 8,452,910 4,226,455 12,679,366 6,339,683 19,019,050 9,509,525 28,528,576 14,264,288 7,132,144 3,566,072 1,783,036 891,518 445,759 1,337,278 668,639 2,005,918 1,002,959 3,008,878 1,504,439 4,513,318 2,256,659 6,769,978 3,384,989 10,154,968 5,077,484 2,538,742 1,269,371 3,808,114 1,904,057 5,712,172 2,856,086 1,428,043 4,284,130 2,142,065 6,426,196 3,213,098 1,606,549 4,819,648 2,409,824 1,204,912 602,456 301,228 150,614 75,307 225,922 112,961

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