λ
Match Zalai

3,245,328

24 × 32 × 31 × 727
Abundant Even Composite

3,245,328 factors as 2^4 × 3^2 × 31 × 727. Its 60 positive divisors give a proper-divisor sum of 6,142,960, so this integer is abundant. The Collatz stopping time is 71 steps.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 31 × 727
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 9,388,288
Proper Divisor Sum 6,142,960
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3245327 ← → #3245357

Radix Representation

Decimal 3245328
Binary 1100011000010100010000 (22 bits)
Octal 0o14302420
Hexadecimal 0x318510

Divisor Catalog (60)

1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 727 744 1,116 1,454 1,488 2,181 2,232 2,908 4,362 4,464 5,816 6,543 8,724 11,632 13,086 17,448 22,537 26,172 34,896 45,074 52,344 67,611 90,148 104,688 135,222 180,296 202,833 270,444 360,592 405,666 540,888 811,332 1,081,776 1,622,664 3,245,328

Collatz Trajectory (71 steps to reach 1)

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

3,245,328 1,622,664 811,332 405,666 202,833 608,500 304,250 152,125 456,376 228,188 114,094 57,047 171,142 85,571 256,714 128,357 385,072 192,536 96,268 48,134 24,067 72,202 36,101 108,304 54,152 27,076 13,538 6,769 20,308 10,154 5,077 15,232 7,616 3,808 1,904 952 476 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17

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