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5,339,802

2 × 3 × 13 × 17 × 4027
Abundant Even Composite

5,339,802 factors as 2 × 3 × 13 × 17 × 4027. Its 32 positive divisors give a proper-divisor sum of 6,840,870, so this integer is abundant. The Collatz stopping time is 157 steps.

Prime Factor Structure

Factorization String 2 × 3 × 13 × 17 × 4027
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 12,180,672
Proper Divisor Sum 6,840,870
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #5339797 ← → #5339809

Radix Representation

Decimal 5339802
Binary 10100010111101010011010 (23 bits)
Octal 0o24275232
Hexadecimal 0x517A9A

Divisor Catalog (32)

1 2 3 6 13 17 26 34 39 51 78 102 221 442 663 1,326 4,027 8,054 12,081 24,162 52,351 68,459 104,702 136,918 157,053 205,377 314,106 410,754 889,967 1,779,934 2,669,901 5,339,802

Collatz Trajectory (157 steps to reach 1)

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

5,339,802 2,669,901 8,009,704 4,004,852 2,002,426 1,001,213 3,003,640 1,501,820 750,910 375,455 1,126,366 563,183 1,689,550 844,775 2,534,326 1,267,163 3,801,490 1,900,745 5,702,236 2,851,118 1,425,559 4,276,678 2,138,339 6,415,018 3,207,509 9,622,528 4,811,264 2,405,632 1,202,816 601,408 300,704 150,352 75,176 37,588 18,794 9,397 28,192 14,096 7,048 3,524 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62 31 94 47 142 71 214 107 322 161

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