λ
Harmonic Matrix

431,854

2 × 215927
Deficient Even Composite

431,854 has digital root 7. The neighboring primes are 431833 and 431857; its proper-divisor sum differs from the starting integer by -215,924.

Prime Factor Structure

Factorization String 2 × 215927
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 647,784
Proper Divisor Sum 215,930
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #431833 ← → #431857

Radix Representation

Decimal 431854
Binary 1101001011011101110 (19 bits)
Octal 0o1513356
Hexadecimal 0x696EE

Divisor Catalog (4)

1 2 215,927 431,854

Collatz Trajectory (218 steps to reach 1)

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

431,854 215,927 647,782 323,891 971,674 485,837 1,457,512 728,756 364,378 182,189 546,568 273,284 136,642 68,321 204,964 102,482 51,241 153,724 76,862 38,431 115,294 57,647 172,942 86,471 259,414 129,707 389,122 194,561 583,684 291,842 145,921 437,764 218,882 109,441 328,324 164,162 82,081 246,244 123,122 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

More profiles

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