27,324,808

2³ × 7 × 487943

27,324,808 factors as 2^3 × 7 × 487943. Its 16 positive divisors give a proper-divisor sum of 31,228,472, so this integer is abundant. The Collatz stopping time is 162 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 487943

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 58,553,280

Proper Divisor Sum 31,228,472

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #27324799 ← → #27324841

Radix Representation

Decimal	27324808
Binary	1101000001111000110001000 (25 bits)
Octal	0o150170610
Hexadecimal	0x1A0F188

Divisor Catalog (16)

1 2 4 7 8 14 28 56 487,943 975,886 1,951,772 3,415,601 3,903,544 6,831,202 13,662,404 27,324,808

Collatz Trajectory (162 steps to reach 1)

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

27,324,808 13,662,404 6,831,202 3,415,601 10,246,804 5,123,402 2,561,701 7,685,104 3,842,552 1,921,276 960,638 480,319 1,440,958 720,479 2,161,438 1,080,719 3,242,158 1,621,079 4,863,238 2,431,619 7,294,858 3,647,429 10,942,288 5,471,144 2,735,572 1,367,786 683,893 2,051,680 1,025,840 512,920 256,460 128,230 64,115 192,346 96,173 288,520 144,260 72,130 36,065 108,196 54,098 27,049 81,148 40,574 20,287 60,862 30,431 91,294 45,647 136,942 68,471 205,414 102,707 308,122 154,061 462,184 231,092 115,546 57,773 173,320

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