59,330

2 × 5 × 17 × 349

59,330 factors as 2 × 5 × 17 × 349. Its 16 positive divisors give a proper-divisor sum of 54,070, so this integer is deficient. The Collatz stopping time is 122 steps.

Prime Factor Structure

Factorization String 2 × 5 × 17 × 349

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 113,400

Proper Divisor Sum 54,070

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #59281 ← → #59333

Radix Representation

Decimal	59330
Binary	1110011111000010 (16 bits)
Octal	0o163702
Hexadecimal	0xE7C2

Divisor Catalog (16)

1 2 5 10 17 34 85 170 349 698 1,745 3,490 5,933 11,866 29,665 59,330

Collatz Trajectory (122 steps to reach 1)

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

59,330 29,665 88,996 44,498 22,249 66,748 33,374 16,687 50,062 25,031 75,094 37,547 112,642 56,321 168,964 84,482 42,241 126,724 63,362 31,681 95,044 47,522 23,761 71,284 35,642 17,821 53,464 26,732 13,366 6,683 20,050 10,025 30,076 15,038 7,519 22,558 11,279 33,838 16,919 50,758 25,379 76,138 38,069 114,208 57,104 28,552 14,276 7,138 3,569 10,708 5,354 2,677 8,032 4,016 2,008 1,004 502 251 754 377

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