3,506,464

2⁵ × 13 × 8429

3,506,464 is even and not a perfect square. Its factorization is 2^5 × 13 × 8429 and its 24 divisors sum to 7,435,260.

Prime Factor Structure

Factorization String 2^5 × 13 × 8429

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 7,435,260

Proper Divisor Sum 3,928,796

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #3506423 ← → #3506479

Radix Representation

Decimal	3506464
Binary	1101011000000100100000 (22 bits)
Octal	0o15300440
Hexadecimal	0x358120

Divisor Catalog (24)

1 2 4 8 13 16 26 32 52 104 208 416 8,429 16,858 33,716 67,432 109,577 134,864 219,154 269,728 438,308 876,616 1,753,232 3,506,464

Collatz Trajectory (190 steps to reach 1)

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

3,506,464 1,753,232 876,616 438,308 219,154 109,577 328,732 164,366 82,183 246,550 123,275 369,826 184,913 554,740 277,370 138,685 416,056 208,028 104,014 52,007 156,022 78,011 234,034 117,017 351,052 175,526 87,763 263,290 131,645 394,936 197,468 98,734 49,367 148,102 74,051 222,154 111,077 333,232 166,616 83,308 41,654 20,827 62,482 31,241 93,724 46,862 23,431 70,294 35,147 105,442 52,721 158,164 79,082 39,541 118,624 59,312 29,656 14,828 7,414 3,707

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