626,352

2⁴ × 3 × 13049

626,352 is even and not a perfect square. Its factorization is 2^4 × 3 × 13049 and its 20 divisors sum to 1,618,200.

Prime Factor Structure

Factorization String 2^4 × 3 × 13049

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 1,618,200

Proper Divisor Sum 991,848

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #626347 ← → #626363

Radix Representation

Decimal	626352
Binary	10011000111010110000 (20 bits)
Octal	0o2307260
Hexadecimal	0x98EB0

Divisor Catalog (20)

1 2 3 4 6 8 12 16 24 48 13,049 26,098 39,147 52,196 78,294 104,392 156,588 208,784 313,176 626,352

Collatz Trajectory (172 steps to reach 1)

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

626,352 313,176 156,588 78,294 39,147 117,442 58,721 176,164 88,082 44,041 132,124 66,062 33,031 99,094 49,547 148,642 74,321 222,964 111,482 55,741 167,224 83,612 41,806 20,903 62,710 31,355 94,066 47,033 141,100 70,550 35,275 105,826 52,913 158,740 79,370 39,685 119,056 59,528 29,764 14,882 7,441 22,324 11,162 5,581 16,744 8,372 4,186 2,093 6,280 3,140 1,570 785 2,356 1,178 589 1,768 884 442 221 664

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