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Atlas › Integer Profiles › Node 2,690,976

2,690,976

25 × 3 × 28031
Abundant Even Composite

2,690,976 factors as 2^5 × 3 × 28031. Its 24 positive divisors give a proper-divisor sum of 4,373,088, so this integer is abundant. The Collatz stopping time is 63 steps.

Prime Factor Structure

Factorization String 2^5 × 3 × 28031
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 7,064,064
Proper Divisor Sum 4,373,088
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #2690959 ← → #2690993

Radix Representation

Decimal 2690976
Binary 1010010000111110100000 (22 bits)
Octal 0o12207640
Hexadecimal 0x290FA0

Divisor Catalog (24)

1 2 3 4 6 8 12 16 24 32 48 96 28,031 56,062 84,093 112,124 168,186 224,248 336,372 448,496 672,744 896,992 1,345,488 2,690,976

Collatz Trajectory (63 steps to reach 1)

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

2,690,976 1,345,488 672,744 336,372 168,186 84,093 252,280 126,140 63,070 31,535 94,606 47,303 141,910 70,955 212,866 106,433 319,300 159,650 79,825 239,476 119,738 59,869 179,608 89,804 44,902 22,451 67,354 33,677 101,032 50,516 25,258 12,629 37,888 18,944 9,472 4,736 2,368 1,184 592 296 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16

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