6,056,624

2⁴ × 7 × 17 × 3181

6,056,624 has the prime decomposition 2^4 × 7 × 17 × 3181. Its 4 distinct prime factors produce 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 7 × 17 × 3181

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 14,204,448

Proper Divisor Sum 8,147,824

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #6056581 ← → #6056639

Radix Representation

Decimal	6056624
Binary	10111000110101010110000 (23 bits)
Octal	0o27065260
Hexadecimal	0x5C6AB0

Divisor Catalog (40)

1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 476 952 1,904 3,181 6,362 12,724 22,267 25,448 44,534 50,896 54,077 89,068 108,154 178,136 216,308 356,272 378,539 432,616 757,078 865,232 1,514,156 3,028,312 6,056,624

Collatz Trajectory (121 steps to reach 1)

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

6,056,624 3,028,312 1,514,156 757,078 378,539 1,135,618 567,809 1,703,428 851,714 425,857 1,277,572 638,786 319,393 958,180 479,090 239,545 718,636 359,318 179,659 538,978 269,489 808,468 404,234 202,117 606,352 303,176 151,588 75,794 37,897 113,692 56,846 28,423 85,270 42,635 127,906 63,953 191,860 95,930 47,965 143,896 71,948 35,974 17,987 53,962 26,981 80,944 40,472 20,236 10,118 5,059 15,178 7,589 22,768 11,384 5,692 2,846 1,423 4,270 2,135 6,406

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