10523
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 11160
- Proper Divisor Sum (Aliquot Sum)
- 637
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 9888
- Möbius Function
- 1
- Radical
- 10523
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- 179
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- First gap of n in sequence A038593 (lower terms).at n=41A038661
- Numbers ending with '3' that are the difference of two positive cubes.at n=24A038858
- Numbers k such that 189*2^k-1 is prime.at n=33A050846
- a(n) is the least index such that the least primitive root of the a(n)-th prime is n, or zero if no such prime exists.at n=68A066529
- Numbers k such that A007923(k) is prime.at n=16A075766
- Indices of primes in sequence defined by A(0) = 39, A(n) = 10*A(n-1) - 61 for n > 0.at n=14A101831
- Prime indices with record values of the least positive primitive root.at n=13A114885
- a(n) = n*(4*n^2+5*n-3)/2.at n=16A126335
- Position of Fibonacci numbers in the EKG sequence.at n=20A140469
- Semiprimes p such that next semiprime after p is p + 10.at n=41A217030
- Semiprimes which have one or more occurrences of exactly five different digits.at n=29A235693
- Number of partitions of n such that (least part) >= (multiplicity of least part).at n=41A240177
- Five-digit odd semiprimes with all digits distinct.at n=22A247948
- Sum of the squarefree parts of the partitions of n into 9 parts.at n=29A309485
- Numbers k such that 447*2^k+1 is prime.at n=31A323193
- Number of integer partitions of n with unimodal run-lengths.at n=35A332280
- Base-10 numbers k whose number of divisors equals the number of divisors in R(k), where k is written in all bases from base-2 to base-10 and R(k), the digit reversal of k, is read as a number in the same base.at n=2A346113
- Integers k for which A000594(k)^2 > 4 k^11, where A000594 is Ramanujan's tau function.at n=18A364087