λ
Harmonic Matrix

635,228

22 × 11 × 14437
Deficient Even Composite

635,228 has digital root 8. The neighboring primes are 635207 and 635249; its proper-divisor sum differs from the starting integer by -57,664.

Prime Factor Structure

Factorization String 2^2 × 11 × 14437
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 1,212,792
Proper Divisor Sum 577,564
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #635207 ← → #635249

Radix Representation

Decimal 635228
Binary 10011011000101011100 (20 bits)
Octal 0o2330534
Hexadecimal 0x9B15C

Divisor Catalog (12)

1 2 4 11 22 44 14,437 28,874 57,748 158,807 317,614 635,228

Collatz Trajectory (79 steps to reach 1)

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

635,228 317,614 158,807 476,422 238,211 714,634 357,317 1,071,952 535,976 267,988 133,994 66,997 200,992 100,496 50,248 25,124 12,562 6,281 18,844 9,422 4,711 14,134 7,067 21,202 10,601 31,804 15,902 7,951 23,854 11,927 35,782 17,891 53,674 26,837 80,512 40,256 20,128 10,064 5,032 2,516 1,258 629 1,888 944 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19

More profiles

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