λ
Harmonic Matrix

2,789,572

22 × 181 × 3853
Deficient Even Composite

2,789,572 has digital root 4. The neighboring primes are 2789551 and 2789573; its proper-divisor sum differs from the starting integer by -669,148.

Prime Factor Structure

Factorization String 2^2 × 181 × 3853
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 4,909,996
Proper Divisor Sum 2,120,424
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #2789551 ← → #2789573

Radix Representation

Decimal 2789572
Binary 1010101001000011000100 (22 bits)
Octal 0o12510304
Hexadecimal 0x2A90C4

Divisor Catalog (12)

1 2 4 181 362 724 3,853 7,706 15,412 697,393 1,394,786 2,789,572

Collatz Trajectory (107 steps to reach 1)

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

2,789,572 1,394,786 697,393 2,092,180 1,046,090 523,045 1,569,136 784,568 392,284 196,142 98,071 294,214 147,107 441,322 220,661 661,984 330,992 165,496 82,748 41,374 20,687 62,062 31,031 93,094 46,547 139,642 69,821 209,464 104,732 52,366 26,183 78,550 39,275 117,826 58,913 176,740 88,370 44,185 132,556 66,278 33,139 99,418 49,709 149,128 74,564 37,282 18,641 55,924 27,962 13,981 41,944 20,972 10,486 5,243 15,730 7,865 23,596 11,798 5,899 17,698

More profiles

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