6384
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 40
- Divisor Sum
- 19840
- Proper Divisor Sum (Aliquot Sum)
- 13456
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1728
- Möbius Function
- 0
- Radical
- 798
- Omega Function (Ω)
- 7
- Little Omega Function (ω)
- 4
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
- 124
- 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
- Icosahedral numbers: a(n) = n*(5*n^2 - 5*n + 2)/2.at n=13A006564
- Triangle T(n,k) of arctangent numbers: expansion of arctan(x)^n/n!.at n=22A008309
- a(n) = floor( n*(n-1)*(n-2)/29 ).at n=58A011911
- a(n) = n*(29*n - 1)/2.at n=21A022286
- Expansion of Product_{m>=1} (1-m*q^m)^-14.at n=4A022738
- Place where n-th 1 occurs in A023125.at n=41A022787
- Expansion of (theta_3(z)*theta_3(9z)+theta_2(z)*theta_2(9z))^4.at n=34A028604
- Numbers having period-2 6-digitized sequences.at n=19A031357
- a(n) = 4*n*(2*n + 1).at n=28A033586
- Numbers n such that there are equal numbers of 0's and 1's in first n digits of binary representation of Pi.at n=15A039624
- Scaled coefficients of (arctanh x)^5.at n=2A049216
- Triangle T(n,k) of arctangent numbers: expansion of arctan(x)^n/n!.at n=40A049218
- Iterated procedure 'composite k added to sum of its prime factors reaches a prime' yields 2 skipped primes.at n=40A050769
- a(n) = (5*n+9)(!^5)/9(!^5), related to A034301 ((5*n+2)(!^5) quintic, or 5-factorials).at n=3A051690
- Numbers k such that 2*10^k + R_k is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=15A056700
- Numbers k that, when expressed in base 6 and then interpreted in base 8, give a multiple of k.at n=16A062937
- a(n) = n*(7*n^2-4)/3.at n=14A063521
- Numbers having exactly ten anti-divisors.at n=42A066476
- a(n) is the least k such that k*Mrs(n)*Mrs(n+1)*Mrs(n+2) + 1 is prime, where Mrs(n) is the n-th Mersenne prime.at n=15A082747
- a(n) = lcm(p-1, p+1) where p is the n-th prime.at n=29A084921