6120
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 48
- Divisor Sum
- 21060
- Proper Divisor Sum (Aliquot Sum)
- 14940
- 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
- 1536
- Möbius Function
- 0
- Radical
- 510
- 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
- 49
- 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 FeS2-Pyrite, Fe position.at n=38A009957
- a(n) = floor(n*(n-1)*(n-2)/7).at n=36A011889
- a(n) = floor(n(n-1)(n-2)(n-3)/19).at n=20A011929
- Theta series of A*_17 lattice.at n=56A023929
- a(n) = s(1)*t(n) + s(2)*t(n-1) + ... + s(k)*t(n-k+1), where k = floor(n/2), s = natural numbers, t = odd natural numbers.at n=31A024862
- Exactly half of first a(n) terms of A022300 are 1's (not known to be infinite).at n=22A025513
- Numbers whose set of base-14 digits is {2,3}.at n=20A032814
- Theta series of lattice A_2 tensor D_3 (dimension 6, det. 432, min. norm 4).at n=26A033701
- a(n) = 2*binomial(n,4).at n=18A034827
- Reverse and add (in binary) - written in base 10.at n=15A035522
- Number of labeled rooted unordered binary trees (each node has out-degree <= 2).at n=6A036774
- Smallest number that is palindromic (with at least 2 digits) in n bases.at n=26A037183
- Minimal value of |product(A) - product(B)| where A and B are a partition of {1,2,3,...,n}.at n=15A038667
- Twice second pentagonal numbers.at n=45A049451
- a(n) = Sum_{k=1..floor(n/2)} T(n, 2k), array T as in A049777.at n=31A049779
- 16-gonal (or hexadecagonal) numbers: a(n) = n*(7*n-6).at n=30A051868
- Numbers k such that sigma (x) = k has exactly 12 solutions.at n=9A060676
- Triangular array T(n,k) giving number of alternating link diagrams with n >= 0 crossings, k = 0..[n/2] connected components and two external legs.at n=29A062038
- When expressed in base 2 and then interpreted in base 9, is a multiple of the original number.at n=45A062850
- Values of m such that N=(am+1)(bm+1)(cm+1) is a 3-Carmichael number (A087788), where a,b,c = 1,2,7.at n=10A064240