7040
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 18360
- Proper Divisor Sum (Aliquot Sum)
- 11320
- 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
- 2560
- Möbius Function
- 0
- Radical
- 110
- Omega Function (Ω)
- 9
- 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
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 119
- 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
- Expansion of tan(log(1+x)).at n=7A003708
- Number of colorings of labeled graphs on n nodes using exactly 4 colors, divided by 4!*2^6.at n=5A006202
- a(n) = n*(n+1)*(n+8)/6.at n=32A006503
- Expansion of 1/((1-5x)(1-9x)(1-12x)).at n=3A020566
- 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 >= 2, t = natural numbers >= 3.at n=39A024869
- Numbers that are the sum of 4 nonzero squares in exactly 3 ways.at n=50A025359
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 41.at n=31A031539
- Numbers that, when expressed in base 4 and then interpreted in base 10, yield a multiple of the original number.at n=29A032540
- Number of partitions of n into parts not of form 4k+2, 16k, 16k+3 or 16k-3.at n=53A036021
- Numbers that are divisible by exactly 9 primes with multiplicity.at n=30A046312
- Numbers with a sum of digits equal to their greatest prime factor.at n=46A052021
- Number of unlabeled 3-element intersecting families (with not necessarily distinct sets) of an n-element set.at n=11A055484
- Triangle T(n,k) = C_n(k)/2^(k*(k-1)/2) where C_n(k) = number of k-colored labeled graphs with n nodes (n >= 1, 1 <= k <= n).at n=18A058875
- Ooguri-Vafa invariants of disk domain wall degeneracies for brane I in the O(K) -> P^1 X P^1 geometry.at n=3A061617
- Numbers n such that n divides the (right) concatenation of all numbers <= n written in base 3 (most significant digit on right, least significant zeros not written).at n=8A061932
- Number of prime alternating tangles (or knots) of type Gamma_2 with two connected components.at n=9A067645
- Numbers k such that prime(k+1)^2 == prime(k)^2 (mod k).at n=27A067783
- Expansion of 1/(1+2*x^2+2*x^3).at n=19A077968
- G.f.: Product_{m>=1} 1/(1-x^m)^32.at n=3A082557
- Numbers k such that the difference between the largest and the smallest prime divisor of k equals the number of prime divisors of k (counted with multiplicity).at n=43A086770