6170
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 11124
- Proper Divisor Sum (Aliquot Sum)
- 4954
- 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
- 2464
- Möbius Function
- -1
- Radical
- 6170
- Omega Function (Ω)
- 3
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 36
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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
- Coefficients of iterated exponentials.at n=4A000359
- a(n) = ceiling(n*phi^11), where phi is the golden ratio, A001622.at n=31A004966
- a(n) = floor(n*(n-1)*(n-2)/12).at n=43A011894
- Theta series of lattice Kappa_7.at n=12A015236
- Numbers k such that the continued fraction for sqrt(k) has period 13.at n=34A020352
- Expansion of 1/((1-5x)(1-9x)(1-11x)).at n=3A020499
- a(n) = s(1)s(n) + s(2)s(n-1) + ... + s(k)s(n-k+1), where k = [ n/2 ], s = (1, p(1), p(2), ...).at n=21A025099
- Exactly half of first a(n) terms of A022300 are 1's (not known to be infinite).at n=39A025513
- Triangle read by rows: matrix 5th power of the Stirling-1 triangle A008275.at n=10A039817
- Number of basis partitions of n+36 with Durfee square size 6.at n=23A053801
- First (leftmost) digit - second digit + third digit - fourth digit .... = 12.at n=42A061881
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 61 ).at n=40A063334
- Numbers of claw-free simple graphs (not necessarily connected) on n nodes.at n=8A086991
- Number of partitions of n such that the least part occurs exactly four times.at n=42A097092
- Partial sums of repdigits of A002279.at n=3A099672
- Main diagonal of A101866.at n=40A101867
- Numbers n such that pi(n)=pi(d_1!)+pi(d_2!)+...+pi(d_k!) where d_1 d_2 ...d_k is the decimal expansion of n.at n=9A105327
- Number of squares in the interior of the square with vertices (n,0), (0,n), (-n,0) and (0,-n) in a square (x,y)-grid.at n=20A111746
- Triangle read by rows, generated from Stirling cycle numbers.at n=40A111933
- Let b(0)=1/2, b(n) = b(n-1) + Prime[n]/2; a(n)=b(2*n).at n=36A112039