6942
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
- 16
- Divisor Sum
- 15120
- Proper Divisor Sum (Aliquot Sum)
- 8178
- 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
- 2112
- Möbius Function
- 1
- Radical
- 6942
- Omega Function (Ω)
- 4
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 106
- 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
- Number of different quasi-orders (or topologies, or transitive digraphs) with n labeled elements.at n=5A000798
- Coordination sequence for MgZn2, Position Zn2.at n=21A009938
- Expansion of 1/(1-x^5-x^6-x^7-x^8).at n=49A017839
- a(n) = T(n,n-3), where T is the array in A026374.at n=22A026382
- a(n) = T(n,n-3), where T is the array in A026386.at n=22A026394
- Number of prime labeled topologies on n points.at n=3A028853
- Number of partitions of n with equal nonzero number of parts congruent to each of 1, 2 and 4 (mod 5).at n=58A035589
- Write 0, 1, 2, 3, 4, ... in a triangular spiral, then a(n) is the sequence found by reading the terms along the line from 0 in the direction 0, 7, ...at n=39A062725
- Numbers n such that n and its reversal are both multiples of 13.at n=33A062903
- Non-palindromic number and its reversal are both multiples of 13.at n=20A062912
- Integers n > 879 such that the 'Reverse and Add!' trajectory of n joins the trajectory of 879.at n=36A063052
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 91 ).at n=22A063364
- Prime(n^2) +/- n are primes.at n=23A064495
- a(n) = 3*n^3 + 2*n^2 + n.at n=13A067389
- Sums of members of groups in A076062.at n=23A076060
- Satisfies a(n)/A079159(n) = p_n, the n-th prime (n>0), a(0)=1.at n=24A079161
- k! + k# + 1 is prime, where k# is the primorial function.at n=16A081710
- Number of meaningful differential operations of the n-th order on the space R^7.at n=11A090992
- Numbers such that the sum of the factorials of the digits of the fifth power is a square.at n=11A126078
- Number of complete partitions of n.at n=33A126796