3,275,664

2⁴ × 3 × 7 × 9749

3,275,664 has digital root 6. The neighboring primes are 3275663 and 3275669; its proper-divisor sum differs from the starting integer by 3,120,672.

Prime Factor Structure

Factorization String 2^4 × 3 × 7 × 9749

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 9,672,000

Proper Divisor Sum 6,396,336

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #3275663 ← → #3275669

Radix Representation

Decimal	3275664
Binary	1100011111101110010000 (22 bits)
Octal	0o14375620
Hexadecimal	0x31FB90

Divisor Catalog (40)

1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 9,749 19,498 29,247 38,996 58,494 68,243 77,992 116,988 136,486 155,984 204,729 233,976 272,972 409,458 467,952 545,944 818,916 1,091,888 1,637,832 3,275,664

Collatz Trajectory (84 steps to reach 1)

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

3,275,664 1,637,832 818,916 409,458 204,729 614,188 307,094 153,547 460,642 230,321 690,964 345,482 172,741 518,224 259,112 129,556 64,778 32,389 97,168 48,584 24,292 12,146 6,073 18,220 9,110 4,555 13,666 6,833 20,500 10,250 5,125 15,376 7,688 3,844 1,922 961 2,884 1,442 721 2,164 1,082 541 1,624 812 406 203 610 305 916 458 229 688 344 172 86 43 130 65 196 98

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