10427
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
- 10428
- 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
- 10426
- Möbius Function
- -1
- Radical
- 10427
- 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
- 109
- 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
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1275
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- The $620 prime list.at n=4A018188
- Primes at which the difference pattern X24Y (X and Y >= 6) occurs in A001223.at n=24A052163
- a(n) = p is the smallest prime such that p = n + h(n)^2 and p is the first prime following h(n)^2. The smallest immediate post-square primes with distance n = p - h(n)^2.at n=22A058056
- Primes p such that p^9 reversed is also prime.at n=30A059702
- Lesser of irregular twin primes.at n=33A060012
- Primes p = prime(k) such that prime(k) + prime(k+5) = prime(k+1) + prime(k+4) = prime(k+2) + prime(k+3).at n=33A064101
- Primes which, although they have correct parity, are not in the prime number maze.at n=8A065123
- Five-digit distinct-digit primes.at n=9A074671
- Starting positions of strings of three 2's in the decimal expansion of Pi.at n=13A083606
- Smallest member of a pair of consecutive twin prime pairs that have two primes between them.at n=29A089634
- a(n) = nextprime(A090117(n)), the smallest prime following squares listed in A090117 and also the distance of a(n) from the preceding prime is 2*n.at n=13A090119
- Limit number of (m-n)-almost-primes in range [2^m..2^{m+1}-1].at n=11A092097
- Square array A(row>=1, col>=1) by antidiagonals: A(r,c) contains the c:th prime p for which A037888(p)=(r-1).at n=51A095749
- Primes p such that p+2, p^2 - 2p + 2, and p^2 - 2p + 4 are all prime.at n=8A101315
- Primes from merging of 5 successive digits in decimal expansion of the Golden Ratio, (1+sqrt(5))/2.at n=31A103809
- Primes p = prime(k) such that both p+2 and prime(k+5)-2 are prime numbers.at n=37A105412
- Primes p such that p + 2 and p^2 + 2^2 are primes.at n=23A107312
- Array, read by antidiagonals, where A(n,k) = exp(-1)*Sum_{i>=0} (i+k)^n/i!.at n=60A108087
- Primes p such that [p,p+2] is a pair of twin primes and (p*(p+2)-1)/2 is prime.at n=42A109945
- Rearrangement of primes (other than 2 and 5) so that the unit digit follows the pattern 1,3,7,9,1,3,7,9,... and every partial concatenation is prime.at n=22A110798