538,356

2² × 3 × 7 × 13 × 17 × 29

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 13 × 17 × 29

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 1,693,440

Proper Divisor Sum 1,155,084

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #538333 ← → #538357

Radix Representation

Decimal	538356
Binary	10000011011011110100 (20 bits)
Octal	0o2033364
Hexadecimal	0x836F4

Divisor Catalog (60 of 96)

1 2 3 4 6 7 12 13 14 17 21 26 28 29 34 39 42 51 52 58 68 78 84 87 91 102 116 119 156 174 182 203 204 221 238 273 348 357 364 377 406 442 476 493 546 609 663 714 754 812 884 986 1,092 1,131 1,218 1,326 1,428 1,479 1,508 1,547

Collatz Trajectory (208 steps to reach 1)

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

538,356 269,178 134,589 403,768 201,884 100,942 50,471 151,414 75,707 227,122 113,561 340,684 170,342 85,171 255,514 127,757 383,272 191,636 95,818 47,909 143,728 71,864 35,932 17,966 8,983 26,950 13,475 40,426 20,213 60,640 30,320 15,160 7,580 3,790 1,895 5,686 2,843 8,530 4,265 12,796 6,398 3,199 9,598 4,799 14,398 7,199 21,598 10,799 32,398 16,199 48,598 24,299 72,898 36,449 109,348 54,674 27,337 82,012 41,006 20,503

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