6542
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 9816
- Proper Divisor Sum (Aliquot Sum)
- 3274
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3270
- Möbius Function
- 1
- Radical
- 6542
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 137
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Powers of rooted tree enumerator.at n=9A000529
- Coefficients of modular function G_4(tau).at n=21A005762
- Denominators of approximations to e.at n=26A006259
- Parenthesized one way gives the powers of 2: (1), (2), (1+3), ..., another way the powers of 3: (1), (2+1), (3+6), ....at n=21A006895
- Number of primes <= 2^n.at n=16A007053
- Numbers k such that the continued fraction for sqrt(k) has period 60.at n=27A020399
- n written in fractional base 7/6.at n=23A024643
- [ exp(6/23)*n! ].at n=6A030823
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 80.at n=9A031578
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 32 ones.at n=41A031800
- "DHK[ 6 ]" (bracelet, identity, unlabeled, 6 parts) transform of 1,1,1,1,...at n=19A032247
- Numbers having three 8's in base 9.at n=22A043487
- Numbers whose base-3 representation contains exactly one 0 and no 1's.at n=26A044970
- T(n,n-1), array T given by A047000.at n=8A047003
- Number of squared primes <= 2^n.at n=32A060967
- Number of cubes of primes <= 2^n.at n=48A060969
- The next smallest pair of numbers is taken so that a(2n-1)/a(2n) converges to e = exp(1).at n=41A065370
- Number of primes < 4^n.at n=8A086680
- Triangle T(n,m) read by rows: matrix product A053121 * A038207.at n=49A096164
- Number of partitions of n into 5-smooth parts.at n=33A112581