7529
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 7530
- Proper Divisor Sum (Aliquot Sum)
- 1
- 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
- 7528
- Möbius Function
- -1
- Radical
- 7529
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- 62
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 954
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numerators of coefficients of Green function for cubic lattice.at n=11A003282
- Molien series for 6-dimensional complex reflection group 4.U_4 (3) of order 2^9 .3^7 .5.7.at n=49A008581
- Numbers k such that the continued fraction for sqrt(k) has period 93.at n=3A020432
- Primes that remain prime through 3 iterations of function f(x) = 5x + 4.at n=18A023284
- COMPOSE primes with natural numbers.at n=7A030282
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 44 ones.at n=24A031812
- The 20 primes inside the 4 X 4 matrix with all the rows, columns and major diagonals being reversible non-palindromic and distinct primes (the smallest prime-magical square): [ 1933, 1283, 9551, 3719 ].at n=14A032530
- Least prime in A031926 (lesser of 8-twins) whose distance to the next 8-twin is 6*n.at n=22A052353
- Primes such that prime(p) +- pi(p) are simultaneously prime.at n=17A065117
- Primes associated with groups in A076077.at n=22A076076
- Class 6- primes (for definition see A005109).at n=16A081425
- a(1) = 2 then primes in nondecreasing order such that every concatenation is prime.at n=29A089702
- Value of C in y = x^2+7x+C such that y is prime for all x = 0 to 4.at n=13A097436
- Primes one larger than the sum over a sexy prime pair.at n=52A104228
- Squares of the norms of Gaussian primes from A107629.at n=23A107630
- a(1) = 1; a(n) = nextprime(2.5*a(n-1)) for n > 1.at n=9A110954
- Primes for which the weight as defined in A117078 is 23.at n=16A119504
- Numbers n such that f(n), f(n+1) and f(n+2) are prime, f(m)=72*m^2+7.at n=14A121089
- Primes of the form 21x^2+65y^2.at n=30A140023
- Primes congruent to 31 or 179 mod 210.at n=40A140587