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Atlas › Integer Profiles › Node 3,287,752

3,287,752

23 × 13 × 101 × 313
Abundant Even Composite

3,287,752 factors as 2^3 × 13 × 101 × 313. Its 32 positive divisors give a proper-divisor sum of 3,438,128, so this integer is abundant. The Collatz stopping time is 84 steps.

Prime Factor Structure

Factorization String 2^3 × 13 × 101 × 313
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,725,880
Proper Divisor Sum 3,438,128
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #3287747 ← → #3287761

Radix Representation

Decimal 3287752
Binary 1100100010101011001000 (22 bits)
Octal 0o14425310
Hexadecimal 0x322AC8

Divisor Catalog (32)

1 2 4 8 13 26 52 101 104 202 313 404 626 808 1,252 1,313 2,504 2,626 4,069 5,252 8,138 10,504 16,276 31,613 32,552 63,226 126,452 252,904 410,969 821,938 1,643,876 3,287,752

Collatz Trajectory (84 steps to reach 1)

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

3,287,752 1,643,876 821,938 410,969 1,232,908 616,454 308,227 924,682 462,341 1,387,024 693,512 346,756 173,378 86,689 260,068 130,034 65,017 195,052 97,526 48,763 146,290 73,145 219,436 109,718 54,859 164,578 82,289 246,868 123,434 61,717 185,152 92,576 46,288 23,144 11,572 5,786 2,893 8,680 4,340 2,170 1,085 3,256 1,628 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98

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