7372
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
- 4
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 13720
- Proper Divisor Sum (Aliquot Sum)
- 6348
- 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
- 3456
- Möbius Function
- 0
- Radical
- 3686
- Omega Function (Ω)
- 4
- 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
- 132
- 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
- Pseudoprimes to base 61.at n=48A020189
- Sums of distinct powers of 9.at n=29A033046
- Expansion of (2 + 2*x - 3*x^2) / (1 - 2*x - x^2 + x^3).at n=10A033304
- Number of different products of partitions of n; number of partitions of n into prime parts (1 included); number of distinct orders of Abelian subgroups of symmetric group S_n.at n=49A034891
- Number of partitions satisfying (cn(0,5) <= cn(1,5) = cn(4,5) and cn(0,5) <= cn(2,5) and cn(0,5) <= cn(3,5)).at n=48A036813
- Positive numbers having the same set of digits in base 2 and base 9.at n=25A037414
- Sums of 4 distinct powers of 9.at n=3A038489
- Numbers having four 1's in base 9.at n=3A043460
- Numbers whose base-4 representation contains exactly three 0's and three 3's.at n=24A045079
- Numbers n such that 89*2^n-1 is prime.at n=14A050570
- Engel expansion of sqrt(Pi) = 1.77245... .at n=8A059187
- Numbers n such that n divides the (left) concatenation of all numbers <= n written in base 23 (most significant digit on right).at n=6A061976
- Centered 21-gonal numbers.at n=26A069178
- Numbers n such that sigma(reverse(n)) = phi(n).at n=8A070856
- a(n) = smallest multiple of prime(n) such that a(n) +1 is a multiple of prime(n+1).at n=24A077338
- a(n) = A080313(n)/2.at n=4A080315
- Diagonal in array of n-gonal numbers A081422.at n=18A081438
- 45-gonal numbers: n*(43*n-41)/2.at n=18A098924
- Quintisection of 1/(1-x^5-x^6).at n=17A099132
- a(n) = 4 * floor(9*2^n/5).at n=10A102653