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Atlas › Integer Profiles › Node 3,291,820

3,291,820

22 × 5 × 72 × 3359
Abundant Even Composite

3,291,820 factors as 2^2 × 5 × 7^2 × 3359. Its 36 positive divisors give a proper-divisor sum of 4,752,020, so this integer is abundant. The Collatz stopping time is 208 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 7^2 × 3359
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 8,043,840
Proper Divisor Sum 4,752,020
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #3291817 ← → #3291823

Radix Representation

Decimal 3291820
Binary 1100100011101010101100 (22 bits)
Octal 0o14435254
Hexadecimal 0x323AAC

Divisor Catalog (36)

1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 3,359 6,718 13,436 16,795 23,513 33,590 47,026 67,180 94,052 117,565 164,591 235,130 329,182 470,260 658,364 822,955 1,645,910 3,291,820

Collatz Trajectory (208 steps to reach 1)

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

3,291,820 1,645,910 822,955 2,468,866 1,234,433 3,703,300 1,851,650 925,825 2,777,476 1,388,738 694,369 2,083,108 1,041,554 520,777 1,562,332 781,166 390,583 1,171,750 585,875 1,757,626 878,813 2,636,440 1,318,220 659,110 329,555 988,666 494,333 1,483,000 741,500 370,750 185,375 556,126 278,063 834,190 417,095 1,251,286 625,643 1,876,930 938,465 2,815,396 1,407,698 703,849 2,111,548 1,055,774 527,887 1,583,662 791,831 2,375,494 1,187,747 3,563,242 1,781,621 5,344,864 2,672,432 1,336,216 668,108 334,054 167,027 501,082 250,541 751,624

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