6148
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 11340
- Proper Divisor Sum (Aliquot Sum)
- 5192
- 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
- 2912
- Möbius Function
- 0
- Radical
- 3074
- 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
- 155
- 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
- Expansion of 1/((1-x)^2*(1-x^2)*(1-x^5)*(1-x^10)*(1-x^20)).at n=50A001305
- Bode numbers multiplied by 10: 4 + 3*floor(2^(n-1)).at n=12A003461
- Numbers that are the sum of 10 positive 10th powers.at n=6A004810
- Numbers that are the sum of 7 positive 11th powers.at n=3A004818
- Numbers that are the sum of at most 7 positive 11th powers.at n=25A004913
- Numbers that are the sum of at most 8 positive 11th powers.at n=28A004914
- Numbers that are the sum of at most 9 positive 11th powers.at n=31A004915
- Numbers that are the sum of at most 10 positive 11th powers.at n=34A004916
- Numbers that are the sum of at most 11 positive 11th powers.at n=37A004917
- a(n)-th prime is sum of first k primes for some k.at n=18A020641
- Exactly half of first a(n) terms of A022300 are 1's (not known to be infinite).at n=30A025513
- Number of linearly ordered Girard monoids of size n; number of t-norms on an n-chain inducing an involutive residual negator.at n=13A034786
- Base-7 palindromes that start with 2.at n=43A043016
- Numbers having four 4's in base 6.at n=10A043388
- Sides of integer Heronian triangles [A068967(n), prime(A068967(n)), a(n)] with area A068969(n).at n=15A068968
- Let b(1)=x, b(2)=y, k*b(k)=(2k-1)*b(k-1) + 3(k+1)*b(k-2); then b(n)=a(n)*x+c(n)/3*y.at n=9A076148
- Least positive integers, all distinct, that satisfy sum(n>0,1/a(n)^z)=0, where z=(60+I*11)/61.at n=13A084804
- a(n) = ceiling(((1*n^0 + 1*n^1 + 2*n^2 + 4*n^3)/(1*n^0 + 2*n^1 + 1*n^2))^2).at n=20A085505
- a(n) = 6*2^n + 4 (Bode Number A003461(n+2)) except for a(1)=6.at n=9A091307
- Numbers in base 10 that are palindromic in bases 6 and 7.at n=11A097931