7337
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- yes
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 8640
- Proper Divisor Sum (Aliquot Sum)
- 1303
- 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
- 6160
- Möbius Function
- -1
- Radical
- 7337
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 176
- 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
- no
- Odd
- yes
Appears in sequences
- Hexagonal pyramidal numbers, or greengrocer's numbers.at n=22A002412
- Expansion of 1/((1-x)^4*(1+x)).at n=42A002623
- Sum of 12 nonzero 8th powers.at n=16A003390
- Number of intersection points of diagonals of an n-gon in general position, plus number of vertices.at n=22A014626
- Odd hexagonal pyramidal numbers.at n=11A015225
- Pseudoprimes to base 45.at n=39A020173
- a(n) = 1*(n) + 2*(n-1) + 3*(n-2) + ... + (n+1-k)*k, where k = floor((n+1)/2).at n=42A023855
- a(n) = s(1)s(n) + s(2)s(n-1) + ... + s(k)s(n+1-k), where k = [ (n+1)/2 ], s = (composite numbers).at n=29A024588
- s(1)s(n) + s(2)s(n-1) + ... + s(k)s(n-k+1), where k = [ n/2 ], s = (composite numbers).at n=28A025102
- Partial sums of the partition numbers A000041 of the positive integers.at n=23A026905
- a(n) = a(n-1) + a(round(2*(n-1)/3)) + a(round((n-1)/3)) with a(1)=a(2)=1.at n=32A033499
- Number of partitions satisfying cn(1,5) <= cn(2,5) + cn(3,5) and cn(4,5) <= cn(2,5) + cn(3,5).at n=34A039890
- Base-10 palindromes that start with 7.at n=15A043042
- Numbers whose base-5 representation contains exactly three 2's and two 3's.at n=31A045276
- Number of noncrossing connected graphs on n nodes on a circle having no four-sided faces.at n=5A045744
- Largest palindromic substring in 5^n.at n=35A046263
- Largest palindromic substring in n! without an initial zero.at n=45A046276
- Palindromes with exactly 3 prime factors (counted with multiplicity).at n=45A046329
- Palindromes with exactly 3 distinct prime factors.at n=30A046393
- 20-gonal (or icosagonal) numbers: a(n) = n*(9*n-8).at n=29A051872