10247
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 10248
- 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
- 10246
- Möbius Function
- -1
- Radical
- 10247
- 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
- yes
- 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
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1256
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers that are the sum of 12 positive 11th powers.at n=5A004823
- Numerator of Sum_{k=1..n} 1/phi(k).at n=27A028415
- Numbers with exactly five distinct base-10 digits.at n=9A031987
- Smallest n-digit norep emirp.at n=4A031991
- Multiplicity of highest weight (or singular) vectors associated with character chi_189 of Monster module.at n=38A034577
- Primes p such that number of primes produced according to rules stipulated in Honaker's A048853 is 4.at n=33A050666
- Primes p such that x^47 = 2 has no solution mod p.at n=28A059257
- Primes p such that p^10 reversed is also prime.at n=39A059703
- a(n) = 10*n^2 + 7.at n=32A061722
- Five-digit distinct-digit primes.at n=1A074671
- Least number whose digits can be used to form exactly n different primes (not necessarily using all digits).at n=38A076449
- For n < 5, a(n) = n-th prime. For n >= 5, let m = n-th prime. If m is a k-digit prime then a(n) = smallest prime obtained by inserting at least one digit between every pair of digits of m. There are (k-1) places where digit insertion takes place and a(n) contains at least 2k-1 digits.at n=30A080437
- Smallest number x such that phi(x)=A000010(x) has exactly n different decimal digits.at n=4A081716
- Primes which when added to their own rotation yield a prime.at n=32A086002
- Smallest prime ending in prime(n) and == 1 (mod prime(n)), or 0 if no such prime exists.at n=14A096069
- Number of partitions of n such that the least part occurs exactly four times.at n=45A097092
- Primes of the form [prime(n)*prime(n+1)+p]/2 with increasing p.at n=31A100558
- Prime septets of form k, k+2100, k+4200, k+6300, k+8400, k+10500, k+12600.at n=10A123107
- Prime septets of form k, k+2100, k+4200, k+6300, k+8400, k+10500, k+12600.at n=4A123107
- Primes of the form 20x^2+20xy+47y^2.at n=39A139992