49,275

3³ × 5² × 73

Starting at 49,275, the Collatz iteration reaches 1 after 96 steps. The first transition is 147826; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 5^2 × 73

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 91,760

Proper Divisor Sum 42,485

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #49261 ← → #49277

Radix Representation

Decimal	49275
Binary	1100000001111011 (16 bits)
Octal	0o140173
Hexadecimal	0xC07B

Divisor Catalog (24)

1 3 5 9 15 25 27 45 73 75 135 219 225 365 657 675 1,095 1,825 1,971 3,285 5,475 9,855 16,425 49,275

Collatz Trajectory (96 steps to reach 1)

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

49,275 147,826 73,913 221,740 110,870 55,435 166,306 83,153 249,460 124,730 62,365 187,096 93,548 46,774 23,387 70,162 35,081 105,244 52,622 26,311 78,934 39,467 118,402 59,201 177,604 88,802 44,401 133,204 66,602 33,301 99,904 49,952 24,976 12,488 6,244 3,122 1,561 4,684 2,342 1,171 3,514 1,757 5,272 2,636 1,318 659 1,978 989 2,968 1,484 742 371 1,114 557 1,672 836 418 209 628 314

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