λ
Harmonic Matrix

3,675,197

3675197
Deficient Odd Prime

3,675,197 has digital root 2. The neighboring primes are 3675187 and 3675211; its proper-divisor sum differs from the starting integer by -3,675,196.

Prime Factor Structure

Factorization String 3675197
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 3,675,198
Proper Divisor Sum 1
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #3675187 ← → #3675211

Radix Representation

Decimal 3675197
Binary 1110000001010000111101 (22 bits)
Octal 0o16012075
Hexadecimal 0x38143D

Divisor Catalog (2)

Collatz Trajectory (84 steps to reach 1)

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

3,675,197 11,025,592 5,512,796 2,756,398 1,378,199 4,134,598 2,067,299 6,201,898 3,100,949 9,302,848 4,651,424 2,325,712 1,162,856 581,428 290,714 145,357 436,072 218,036 109,018 54,509 163,528 81,764 40,882 20,441 61,324 30,662 15,331 45,994 22,997 68,992 34,496 17,248 8,624 4,312 2,156 1,078 539 1,618 809 2,428 1,214 607 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300 650

More profiles

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