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Atlas › Integer Profiles › Node 3,291,088

3,291,088

24 × 53 × 3881
Deficient Even Composite

3,291,088 factors as 2^4 × 53 × 3881. Its 20 positive divisors give a proper-divisor sum of 3,207,380, so this integer is deficient. The Collatz stopping time is 58 steps.

Prime Factor Structure

Factorization String 2^4 × 53 × 3881
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 6,498,468
Proper Divisor Sum 3,207,380
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #3291083 ← → #3291109

Radix Representation

Decimal 3291088
Binary 1100100011011111010000 (22 bits)
Octal 0o14433720
Hexadecimal 0x3237D0

Divisor Catalog (20)

1 2 4 8 16 53 106 212 424 848 3,881 7,762 15,524 31,048 62,096 205,693 411,386 822,772 1,645,544 3,291,088

Collatz Trajectory (58 steps to reach 1)

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

3,291,088 1,645,544 822,772 411,386 205,693 617,080 308,540 154,270 77,135 231,406 115,703 347,110 173,555 520,666 260,333 781,000 390,500 195,250 97,625 292,876 146,438 73,219 219,658 109,829 329,488 164,744 82,372 41,186 20,593 61,780 30,890 15,445 46,336 23,168 11,584 5,792 2,896 1,448 724 362 181 544 272 136 68 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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