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5,479,168

28 × 17 × 1259
Abundant Even Composite

5,479,168 factors as 2^8 × 17 × 1259. Its 36 positive divisors give a proper-divisor sum of 6,110,312, so this integer is abundant. The Collatz stopping time is 201 steps.

Prime Factor Structure

Factorization String 2^8 × 17 × 1259
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 11,589,480
Proper Divisor Sum 6,110,312
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #5479139 ← → #5479169

Radix Representation

Decimal 5479168
Binary 10100111001101100000000 (23 bits)
Octal 0o24715400
Hexadecimal 0x539B00

Divisor Catalog (36)

1 2 4 8 16 17 32 34 64 68 128 136 256 272 544 1,088 1,259 2,176 2,518 4,352 5,036 10,072 20,144 21,403 40,288 42,806 80,576 85,612 161,152 171,224 322,304 342,448 684,896 1,369,792 2,739,584 5,479,168

Collatz Trajectory (201 steps to reach 1)

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

5,479,168 2,739,584 1,369,792 684,896 342,448 171,224 85,612 42,806 21,403 64,210 32,105 96,316 48,158 24,079 72,238 36,119 108,358 54,179 162,538 81,269 243,808 121,904 60,952 30,476 15,238 7,619 22,858 11,429 34,288 17,144 8,572 4,286 2,143 6,430 3,215 9,646 4,823 14,470 7,235 21,706 10,853 32,560 16,280 8,140 4,070 2,035 6,106 3,053 9,160 4,580 2,290 1,145 3,436 1,718 859 2,578 1,289 3,868 1,934 967

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