λ
Harmonic Matrix

372,838

2 × 186419
Deficient Even Composite

372,838 has digital root 4. The neighboring primes are 372833 and 372839; its proper-divisor sum differs from the starting integer by -186,416.

Prime Factor Structure

Factorization String 2 × 186419
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 559,260
Proper Divisor Sum 186,422
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #372833 ← → #372839

Radix Representation

Decimal 372838
Binary 1011011000001100110 (19 bits)
Octal 0o1330146
Hexadecimal 0x5B066

Divisor Catalog (4)

1 2 186,419 372,838

Collatz Trajectory (117 steps to reach 1)

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

372,838 186,419 559,258 279,629 838,888 419,444 209,722 104,861 314,584 157,292 78,646 39,323 117,970 58,985 176,956 88,478 44,239 132,718 66,359 199,078 99,539 298,618 149,309 447,928 223,964 111,982 55,991 167,974 83,987 251,962 125,981 377,944 188,972 94,486 47,243 141,730 70,865 212,596 106,298 53,149 159,448 79,724 39,862 19,931 59,794 29,897 89,692 44,846 22,423 67,270 33,635 100,906 50,453 151,360 75,680 37,840 18,920 9,460 4,730 2,365

More profiles

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