6060
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 17136
- Proper Divisor Sum (Aliquot Sum)
- 11076
- 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
- 1600
- Möbius Function
- 0
- Radical
- 3030
- Omega Function (Ω)
- 5
- 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
- 142
- 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
- Coordination sequence for 4-dimensional primitive di-isohexagonal orthogonal lattice.at n=10A008530
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite VNI = VPI-9 Rb44K4[Zn24Si96O240].48H2O starting with a T7 atom.at n=12A019255
- a(n) = n*(21*n + 1)/2.at n=24A022279
- a(n) is the number of prime powers <= 3^n.at n=10A024623
- Number of 3's in all partitions of n.at n=29A024787
- Every run of digits of n in base 14 has length 2.at n=37A033012
- Multiplicity of highest weight (or singular) vectors associated with character chi_152 of Monster module.at n=38A034540
- Positive integers having more base-14 runs of even length than odd.at n=39A044840
- Numbers whose consecutive digits differ by 6.at n=27A048408
- First (leftmost) digit - second digit + third digit - fourth digit .... = 12.at n=38A061881
- 1/n has period 4 in base 10.at n=28A069858
- A014486-indices of binary trees whose left and right subtree are identical.at n=21A083938
- Numbers k such that 4*k-1, 8*k-1 and 16*k-1 are all primes.at n=37A101790
- Self-describing sequence. See the sequence as a succession of digits: then a(n) is the position of a prime digit in the sequence.at n=50A114315
- Number of partitions of n with no even parts repeated and with no 1's.at n=49A117275
- Numbers k for which 2*k-1, 4*k-1, 8*k-1 and 16*k-1 are primes.at n=13A124494
- Undulating Harshad numbers: numbers divisible by the sum of their own digits with decimal expansions in an abab...ab pattern.at n=38A129120
- Numbers k such that k and k^2 use only the digits 0, 2, 3, 6 and 7.at n=10A136892
- Sum of consecutives primes p and q where p == 3 mod (10) and q == 7 mod (10).at n=40A138018
- Partial sums of A003325.at n=27A139211