6116
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- yes
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 11760
- Proper Divisor Sum (Aliquot Sum)
- 5644
- 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
- 2760
- Möbius Function
- 0
- Radical
- 3058
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 3
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
- 62
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- a(n) = 1*t(n) + 2*t(n-1) + ...+ k*t(n+1-k), where k=floor((n+1)/2) and t is A001950 (upper Wythoff sequence).at n=28A023867
- Exactly half of first a(n) terms of A022300 are 1's (not known to be infinite).at n=20A025513
- Number of partitions of n with equal number of parts congruent to each of 1 and 4 (mod 5).at n=43A035558
- Base-10 palindromes that start with 6.at n=13A043041
- Palindromic and divisible by 4.at n=35A045639
- Largest palindromic substring in 4^n.at n=31A046262
- Palindromes with exactly 4 prime factors (counted with multiplicity).at n=31A046330
- Palindromes expressible as sum of 2 consecutive palindromes.at n=47A046497
- Starting positions of strings of 3 1's in the decimal expansion of Pi.at n=5A050209
- Number of mobiles (circular rooted trees) with n nodes and 6 leaves.at n=6A055344
- Difference between pi(10^n) and the integer nearest to 10^n / log(10^n).at n=5A057835
- Numbers n such that n divides the (right) concatenation of all numbers <= n written in base 23 (most significant digit on right).at n=20A061952
- Smallest palindromic multiple of n-th prime.at n=33A062888
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 81 ).at n=32A063354
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 100 ).at n=38A063373
- Concatenation of n-th prime and its reverse.at n=17A067087
- Concatenation of R(n) (A004086) and n, omitting leading 0's.at n=15A071273
- Numbers n for which there are exactly twelve k such that n = k + reverse(k).at n=6A072435
- G.f.: Product_{n >= 0} (1+x^(2n+1))/(1-x^(2n+1)).at n=34A080054
- Record-setting differences between adjacent elements of the Mian-Chowla sequence A005282.at n=32A080222