7552
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 15300
- Proper Divisor Sum (Aliquot Sum)
- 7748
- 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
- 3712
- Möbius Function
- 0
- Radical
- 118
- Omega Function (Ω)
- 8
- Little Omega Function (ω)
- 2
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
- 39
- 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
- Number of labeled rooted trees of subsets of an n-set.at n=4A005172
- a(n) = 9*a(n-1) + a(n-2) for n>1; a(0) = a(1) = 1.at n=5A015455
- s(n+3)/4, where s is A024959.at n=10A024960
- 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 43.at n=21A031541
- Number of partitions satisfying cn(1,5) + cn(4,5) <= cn(2,5) + cn(3,5).at n=35A039894
- McKay-Thompson series of class 52a for Monster.at n=59A058707
- Number of ways to place 6 nonattacking queens on a 6 X n board.at n=10A061992
- a(n) = n! - n^k where n^(k+1) > n! >= n^k.at n=7A069703
- Quotients arising in A073162: A046992(n)/n if n is in A073162.at n=5A073164
- G.f.: (1+x^3+x^4+x^5+x^6+x^9)/((1-x)*(1-x^2)^2*(1-x^3)*(1-x^4)).at n=33A090491
- Triangle, read by rows, such that the convolution of each row with {1,2} produces a triangle which, when flattened, equals this flattened form of the original triangle.at n=51A092686
- Least m such that m and m+n are both products of exactly n primes counting multiplicity.at n=8A098515
- 8-almost primes p*q*r*s*t*u*v*w relatively prime to p+q+r+s+t+u+v+w.at n=27A110296
- Triangle read by rows: T(n,k) is the number of Dyck paths of semilength n having k ascents of length 2 starting at an even level (0<=k<=floor(n/2)).at n=53A114462
- Number of distinct representations of 8n^3 as the sum of two primes.at n=54A116981
- G.f.: A(x) = 1 + x*[A_2(x)]^2, where A_2(x) = 2 + x*[A_3(x)]^2, A_3(x) = 3 + x*[A_4(x)]^2, ..., A_n(x) = n + x*[A_{n+1}(x)]^2, ...at n=4A135906
- Number of n X n binary arrays symmetric about the diagonal and under 90 degree rotation with all ones connected only in a 1100-0111-1100 pattern in any orientation.at n=22A146679
- Somos-4 recurrence with a(0)=1, a(1)=2, a(2)=4, a(3)=16.at n=7A165905
- Products of the 7th power of a prime and a distinct prime (p^7*q).at n=16A179664
- Sums of knight's moves over the square |i|+|j|<=n on infinite chessboard.at n=23A183053