10138
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 15732
- Proper Divisor Sum (Aliquot Sum)
- 5594
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4896
- Möbius Function
- -1
- Radical
- 10138
- 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
- 34
- 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
- Numbers whose base-10 representation has exactly 5 runs.at n=25A043641
- Numbers n such that 87*2^n-1 is prime.at n=32A050569
- Smallest index i such that next_prime( 2*prime(i) ) - 2*prime(i) = 2n - 1.at n=31A074973
- Least number whose digits can be used to form exactly n different primes (not necessarily using all digits).at n=34A076449
- a(n) = Sum_{k=1..n} antisigma(k), where antisigma(i) = sum of the nondivisors of i that are between 1 and i.at n=39A076664
- Number of A095287-primes in range ]2^n,2^(n+1)].at n=17A095297
- Number of A095315-primes in range ]2^n,2^(n+1)].at n=17A095335
- If p(x) is the x-th prime, then the n-th set of 4 consecutive sexy prime pairs starts at p(a(n)).at n=14A095963
- If p(x) is the x-th prime, then the n-th set of 5 consecutive sexy prime pairs starts at p(a(n)).at n=2A095964
- Numbers which may represent a date in "condensed European notation" DDMMYY.at n=38A213182
- Numbers which may represent a date in "condensed American notation" MMDDYY.at n=38A213184
- Numbers with exactly 11 nonprime substrings (substrings with leading zeros are considered to be nonprime).at n=9A213318
- Concatenation of n-th prime and n-th nonprime.at n=25A253910
- Numbers k such that (14*10^k + 229)/9 is prime.at n=13A294940
- G.f.: Sum_{k>=1} (x^(k*(k+1)) * Product_{j=1..k} (1 + x^j)/(1 - x^j)).at n=54A333374
- Numbers k that are neither primes nor squares of primes such that A006134(k) - A102283(k) is divisible by k.at n=32A373763
- Indices of prime squares in A381019.at n=13A381095