7562
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 12000
- Proper Divisor Sum (Aliquot Sum)
- 4438
- 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
- 3564
- Möbius Function
- -1
- Radical
- 7562
- 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
- 39
- 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
- yes
- Odd
- no
Appears in sequences
- a(n) = round(n*phi^11), where phi is the golden ratio, A001622.at n=38A004946
- Expansion of 1/(1-x^3-x^4-x^5-x^6-x^7-x^8-x^9-x^10-x^11).at n=28A017824
- a(1) = 3; a(n+1) = a(n)-th composite.at n=30A022451
- Least k such that first k terms of A022303 contain n more 2's than 1's.at n=9A025518
- Numbers k such that 273*2^k + 1 is prime.at n=35A053353
- McKay-Thompson series of class 26B for Monster.at n=27A058597
- a(0) = 1, a(1) = 2; for n>=2 a(n) is the number of degree-n reducible polynomials over GF(2).at n=13A058766
- Numbers n such that 1n1, 3n3, 7n7 and 9n9 are all primes.at n=18A059677
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 85 ).at n=29A063358
- Numbers k such that Euler phi(k) / Carmichael lambda(k) = 18.at n=40A066697
- Number of integers in {1, 2, ..., 2^n} that are coprime to n.at n=12A074933
- a(n) = sum along n-th diagonal of A094102 (sloping downward to left).at n=34A094103
- Sum of divisors of A104365(n) = A104350(n) + 1.at n=8A104370
- Number of rooted identity trees on n nodes with thinning limbs.at n=18A124346
- Expansion of q^(-1) * (chi(-q^13) / chi(-q))^2 in powers of q where chi() is a Ramanujan theta function.at n=27A128518
- Numbers k such that k^2 == 2 (mod 23^2).at n=28A156849
- Least nonnegative k such that 3^(2^n)+k is prime.at n=14A157979
- Number of binary strings of length n with no substrings equal to 0000 0001 or 0111.at n=13A164412
- a(n) = 7*n*(n+1)/2 - 5.at n=45A166154
- Recurrence: Sum_{n>=0} a(n-k)*a(k) = (n+1)!^2/2^n.at n=5A184359