λ
Harmonic Matrix

2,790,972

22 × 32 × 77527
Abundant Even Composite

2,790,972 has digital root 9. The neighboring primes are 2790971 and 2790979; its proper-divisor sum differs from the starting integer by 1,473,104.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 77527
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 7,055,048
Proper Divisor Sum 4,264,076
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #2790971 ← → #2790979

Radix Representation

Decimal 2790972
Binary 1010101001011000111100 (22 bits)
Octal 0o12513074
Hexadecimal 0x2A963C

Divisor Catalog (18)

1 2 3 4 6 9 12 18 36 77,527 155,054 232,581 310,108 465,162 697,743 930,324 1,395,486 2,790,972

Collatz Trajectory (169 steps to reach 1)

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

2,790,972 1,395,486 697,743 2,093,230 1,046,615 3,139,846 1,569,923 4,709,770 2,354,885 7,064,656 3,532,328 1,766,164 883,082 441,541 1,324,624 662,312 331,156 165,578 82,789 248,368 124,184 62,092 31,046 15,523 46,570 23,285 69,856 34,928 17,464 8,732 4,366 2,183 6,550 3,275 9,826 4,913 14,740 7,370 3,685 11,056 5,528 2,764 1,382 691 2,074 1,037 3,112 1,556 778 389 1,168 584 292 146 73 220 110 55 166 83

More profiles

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