λ
Harmonic Matrix

2,164,816

24 × 135301
Deficient Even Composite

2,164,816 has digital root 1. The neighboring primes are 2164807 and 2164817; its proper-divisor sum differs from the starting integer by -135,270.

Prime Factor Structure

Factorization String 2^4 × 135301
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 10
Divisor Sum (σ) 4,194,362
Proper Divisor Sum 2,029,546
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #2164807 ← → #2164817

Radix Representation

Decimal 2164816
Binary 1000010000100001010000 (22 bits)
Octal 0o10204120
Hexadecimal 0x210850

Divisor Catalog (10)

1 2 4 8 16 135,301 270,602 541,204 1,082,408 2,164,816

Collatz Trajectory (210 steps to reach 1)

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

2,164,816 1,082,408 541,204 270,602 135,301 405,904 202,952 101,476 50,738 25,369 76,108 38,054 19,027 57,082 28,541 85,624 42,812 21,406 10,703 32,110 16,055 48,166 24,083 72,250 36,125 108,376 54,188 27,094 13,547 40,642 20,321 60,964 30,482 15,241 45,724 22,862 11,431 34,294 17,147 51,442 25,721 77,164 38,582 19,291 57,874 28,937 86,812 43,406 21,703 65,110 32,555 97,666 48,833 146,500 73,250 36,625 109,876 54,938 27,469 82,408

More profiles

← Previous Integer #2,164,815 Browse Full Index Next Integer #2,164,817 →