633,258

2 × 3⁵ × 1303

633,258 factors as 2 × 3^5 × 1303. Its 24 positive divisors give a proper-divisor sum of 790,710, so this integer is abundant. The Collatz stopping time is 128 steps.

Prime Factor Structure

Factorization String 2 × 3^5 × 1303

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,423,968

Proper Divisor Sum 790,710

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #633257 ← → #633263

Radix Representation

Decimal	633258
Binary	10011010100110101010 (20 bits)
Octal	0o2324652
Hexadecimal	0x9A9AA

Divisor Catalog (24)

Collatz Trajectory (128 steps to reach 1)

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

633,258 316,629 949,888 474,944 237,472 118,736 59,368 29,684 14,842 7,421 22,264 11,132 5,566 2,783 8,350 4,175 12,526 6,263 18,790 9,395 28,186 14,093 42,280 21,140 10,570 5,285 15,856 7,928 3,964 1,982 991 2,974 1,487 4,462 2,231 6,694 3,347 10,042 5,021 15,064 7,532 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179 9,538 4,769 14,308 7,154 3,577 10,732 5,366 2,683 8,050 4,025

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