7353
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 11440
- Proper Divisor Sum (Aliquot Sum)
- 4087
- 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
- 4536
- Möbius Function
- 0
- Radical
- 2451
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 163
- 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
- no
- Odd
- yes
Appears in sequences
- a(n) = [ Sum{(sqrt(j+1)-sqrt(i+1))^2} ], 1 <= i < j <= n.at n=51A025222
- Numbers k such that k^3 has only odd digits.at n=16A030099
- Numbers in which all pairs of consecutive base-7 digits differ by 3.at n=33A033078
- a(n) = n*(4*n-1).at n=43A033991
- Base-7 palindromes that start with 3.at n=19A043017
- Numbers k such that 2^k - k is prime.at n=10A048744
- Numbers primitive with respect to having more than one factorization into S-primes. See related sequences for definition.at n=40A057950
- a(n) is the smallest k such that (k^4 + 1)/(n^4 + 1) is an integer > 1.at n=24A066018
- E.g.f.: exp(3*x)/(1-x)^2.at n=5A081924
- Numbers k such that k and k^3 use only odd digits.at n=13A085597
- Square array, read by antidiagonals, where the n-th row is the n-th binomial transform of the factorials, starting with row 0: {1!,2!,3!,...}.at n=39A089900
- a(n) = 3*(2*n^2 + 1).at n=35A097803
- Total sum of parts of multiplicity 2 in all partitions of n.at n=27A117525
- Number of functions f:[n]->[n] such that f[(x*y) mod n]=[f(x)*f(y)] mod n for all x,y in [n], for n=1,2,3,... Here [n] denotes {0,1,2,...,n-1}.at n=41A117986
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 1, -1), (1, -1, 0), (1, 0, -1), (1, 0, 1)}.at n=9A148599
- A sevens sequence: a(n) = (7^n - 1)/(2^(4 - 3*(n mod 2))).at n=6A152418
- a(n) = 4*n^2 + 79*n + 390.at n=32A157434
- Numbers k such that Sum_(i=1..k) prime(i)*(-1)^(i+1) is a square.at n=13A175117
- Numbers n such that Mordell's equation y^2 = x^3 + n has exactly 14 integral solutions.at n=7A179155
- Half-convolution of sequence A000032 (Lucas) with itself.at n=14A201207