10529
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 10530
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 10528
- Möbius Function
- -1
- Radical
- 10529
- 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
- 42
- 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
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- yes
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1287
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Expansion of 1/((1-x)^3 (1-x^2)^2 (1-x^3) (1-x^4)).at n=20A002626
- Numbers k such that the continued fraction for sqrt(k) has period 89.at n=11A020428
- Primes that remain prime through 3 iterations of function f(x) = 7x + 6.at n=21A023290
- Primes that remain prime through 4 iterations of function f(x) = 7x + 6.at n=7A023318
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted then there are a pair of central terms both equal to 8.at n=18A031421
- Upper prime of a difference of 16 between consecutive primes.at n=34A031935
- Smaller of twin prime pairs in consecutively larger seas of composite numbers.at n=20A046928
- Least prime in A001359 (lesser of twin primes) such that the distance (A053319) to the next twin is 6*n.at n=29A052350
- Primes p such that x^47 = 2 has no solution mod p.at n=29A059257
- Primes p such that p+2, 2p+1, and 2p+3 are also prime.at n=10A069142
- Five-digit distinct-digit primes.at n=16A074671
- Largest prime dividing sigma(4,n).at n=35A078553
- Primes p such that 13 is the largest of all prime factors of the numbers between p and the next prime (cf. A052248).at n=17A080188
- a(n) = A085956(3n+1).at n=37A086362
- Primes p such that p-1 and p+1 are both divisible by cubes (other than 1).at n=37A086708
- Primes p such that p-1 and p+1 are both divisible by fourth powers.at n=7A086709
- Successive record-setters for tau(n+1)*tau(n-1)/tau(n)^2, where tau(n) is the number of divisors of n.at n=21A094342
- Largest prime factor of n^4 + 1.at n=36A096172
- Number of crossing partitions of n.at n=6A099949
- a(n) = 1 + 2 * least i such that A103507(i)=n+1, 0 if no such i exists.at n=28A103508