16767
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 27
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 5
Divisibility
- Divisor Count
- 14
- Divisor Sum
- 26232
- Proper Divisor Sum (Aliquot Sum)
- 9465
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 10692
- Möbius Function
- 0
- Radical
- 69
- Omega Function (Ω)
- 7
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 159
- 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
- no
- Odd
- yes
Appears in sequences
- E.g.f.: arcsin(arcsinh(x)+arctan(x)) = 2*x + 5/3!*x^3 + 201/5!*x^5 + 16767/7!*x^7 +...at n=3A013105
- (s(n)+s(n+1))/6, where s()=A006521.at n=19A016059
- (s(n)+s(n+1))/18, where s()=A006521.at n=24A016060
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite MAZ = Mazzite (Na2,K2,Ca,Mg)5[Al10Si26O72].28H2O starting from a T2 atom.at n=13A019143
- Multiplicity of highest weight (or singular) vectors associated with character chi_165 of Monster module.at n=39A034553
- Lesser of the smallest pair of consecutive numbers divisible by an n-th power, but not both divisible by an (n+1)-st power.at n=5A045330
- Odd numbers divisible by exactly 7 primes (counted with multiplicity).at n=14A046320
- Numbers k such that k | 11^k + 10^k + 9^k + 8^k + 7^k + 6^k + 5^k + 4^k + 3^k.at n=36A057286
- Numbers n such that n | 9^n + 8^n + 1.at n=17A057296
- Smallest number such that it and its successor are both divisible by an n-th power larger than 1.at n=5A063528
- Lesser of two consecutive numbers each divisible by a fourth power.at n=31A068782
- Lesser of two consecutive numbers each divisible by a fifth power.at n=5A068783
- Lesser of two consecutive numbers each divisible by a sixth power.at n=0A068784
- Start of the first occurrence of two consecutive numbers divisible by an n-th power.at n=5A069022
- (Sum of digits of n)^5 - (sum of digits of n^5).at n=25A069979
- Duplicate of A063528.at n=5A071254
- Indices of primes in sequence defined by A(0) = 41, A(n) = 10*A(n-1) + 51 for n > 0.at n=17A101729
- a(n) = (1+n)*(9 + 11*n + 4*n^2)/3.at n=22A172482
- (n-1)-st elementary symmetric function of the first n terms of the periodic sequence (1,1,1,3,1,1,1,3,...).at n=26A203235
- Number of partitions p of n such that 2*min(p) is a part of p.at n=37A238589