λ
Harmonic Matrix

3,626,806

2 × 569 × 3187
Deficient Even Composite

3,626,806 has digital root 4. The neighboring primes are 3626803 and 3626807; its proper-divisor sum differs from the starting integer by -1,802,132.

Prime Factor Structure

Factorization String 2 × 569 × 3187
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,451,480
Proper Divisor Sum 1,824,674
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #3626803 ← → #3626807

Radix Representation

Decimal 3626806
Binary 1101110101011100110110 (22 bits)
Octal 0o15653466
Hexadecimal 0x375736

Divisor Catalog (8)

1 2 569 1,138 3,187 6,374 1,813,403 3,626,806

Collatz Trajectory (234 steps to reach 1)

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

3,626,806 1,813,403 5,440,210 2,720,105 8,160,316 4,080,158 2,040,079 6,120,238 3,060,119 9,180,358 4,590,179 13,770,538 6,885,269 20,655,808 10,327,904 5,163,952 2,581,976 1,290,988 645,494 322,747 968,242 484,121 1,452,364 726,182 363,091 1,089,274 544,637 1,633,912 816,956 408,478 204,239 612,718 306,359 919,078 459,539 1,378,618 689,309 2,067,928 1,033,964 516,982 258,491 775,474 387,737 1,163,212 581,606 290,803 872,410 436,205 1,308,616 654,308 327,154 163,577 490,732 245,366 122,683 368,050 184,025 552,076 276,038 138,019

More profiles

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