λ
Harmonic Matrix

388,858

2 × 17 × 11437
Deficient Even Composite

388,858 has digital root 4. The neighboring primes are 388837 and 388859; its proper-divisor sum differs from the starting integer by -160,064.

Prime Factor Structure

Factorization String 2 × 17 × 11437
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 617,652
Proper Divisor Sum 228,794
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #388837 ← → #388859

Radix Representation

Decimal 388858
Binary 1011110111011111010 (19 bits)
Octal 0o1367372
Hexadecimal 0x5EEFA

Divisor Catalog (8)

1 2 17 34 11,437 22,874 194,429 388,858

Collatz Trajectory (192 steps to reach 1)

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

388,858 194,429 583,288 291,644 145,822 72,911 218,734 109,367 328,102 164,051 492,154 246,077 738,232 369,116 184,558 92,279 276,838 138,419 415,258 207,629 622,888 311,444 155,722 77,861 233,584 116,792 58,396 29,198 14,599 43,798 21,899 65,698 32,849 98,548 49,274 24,637 73,912 36,956 18,478 9,239 27,718 13,859 41,578 20,789 62,368 31,184 15,592 7,796 3,898 1,949 5,848 2,924 1,462 731 2,194 1,097 3,292 1,646 823 2,470

More profiles

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