λ
Harmonic Matrix

4,372,722

2 × 32 × 277 × 877
Abundant Even Composite

4,372,722 has digital root 9. The neighboring primes are 4372721 and 4372727; its proper-divisor sum differs from the starting integer by 773,832.

Prime Factor Structure

Factorization String 2 × 3^2 × 277 × 877
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 9,519,276
Proper Divisor Sum 5,146,554
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4372721 ← → #4372727

Radix Representation

Decimal 4372722
Binary 10000101011100011110010 (23 bits)
Octal 0o20534362
Hexadecimal 0x42B8F2

Divisor Catalog (24)

1 2 3 6 9 18 277 554 831 877 1,662 1,754 2,493 2,631 4,986 5,262 7,893 15,786 242,929 485,858 728,787 1,457,574 2,186,361 4,372,722

Collatz Trajectory (211 steps to reach 1)

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

4,372,722 2,186,361 6,559,084 3,279,542 1,639,771 4,919,314 2,459,657 7,378,972 3,689,486 1,844,743 5,534,230 2,767,115 8,301,346 4,150,673 12,452,020 6,226,010 3,113,005 9,339,016 4,669,508 2,334,754 1,167,377 3,502,132 1,751,066 875,533 2,626,600 1,313,300 656,650 328,325 984,976 492,488 246,244 123,122 61,561 184,684 92,342 46,171 138,514 69,257 207,772 103,886 51,943 155,830 77,915 233,746 116,873 350,620 175,310 87,655 262,966 131,483 394,450 197,225 591,676 295,838 147,919 443,758 221,879 665,638 332,819 998,458

More profiles

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