562,008

2³ × 3 × 23417

562,008 has digital root 3. The neighboring primes are 562007 and 562019; its proper-divisor sum differs from the starting integer by 281,064.

Prime Factor Structure

Factorization String 2^3 × 3 × 23417

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,405,080

Proper Divisor Sum 843,072

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #562007 ← → #562019

Radix Representation

Decimal	562008
Binary	10001001001101011000 (20 bits)
Octal	0o2111530
Hexadecimal	0x89358

Divisor Catalog (16)

1 2 3 4 6 8 12 24 23,417 46,834 70,251 93,668 140,502 187,336 281,004 562,008

Collatz Trajectory (177 steps to reach 1)

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

562,008 281,004 140,502 70,251 210,754 105,377 316,132 158,066 79,033 237,100 118,550 59,275 177,826 88,913 266,740 133,370 66,685 200,056 100,028 50,014 25,007 75,022 37,511 112,534 56,267 168,802 84,401 253,204 126,602 63,301 189,904 94,952 47,476 23,738 11,869 35,608 17,804 8,902 4,451 13,354 6,677 20,032 10,016 5,008 2,504 1,252 626 313 940 470 235 706 353 1,060 530 265 796 398 199 598

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