10631
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
- 2
- Divisor Sum
- 10632
- 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
- 10630
- Möbius Function
- -1
- Radical
- 10631
- 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
- 55
- 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
- 1297
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes prime(k) for which A049076(k) = 4.at n=8A049080
- Primes for which A049076 >= 4.at n=14A049090
- Primes such that the sum of the factorials of the digits is a perfect square.at n=29A052279
- Prime number spiral (clockwise, Southeast spoke).at n=18A054564
- Primes q of the form q = 10p + 1, where p is also prime.at n=41A055781
- Primes in right concatenation of triangular numbers.at n=2A068147
- Numerator of Sum_{k=1..n} frac(n/k), where frac(x/y) denotes the fractional part of x/y.at n=10A075710
- Concatenate first n triangular numbers in reverse order.at n=3A078891
- Duplicate of A068147.at n=2A078914
- Primes that are a concatenation of a prime and its first digit.at n=33A085414
- Smallest prime formed by reverse concatenation of n consecutive triangular numbers, 0 if no such prime exists.at n=3A105293
- Primes formed by reverse concatenation of 4 consecutive triangular numbers.at n=0A105304
- Primes p such that index of p, the sum of p's digits and the number of p's digits are all primes.at n=24A109982
- Primes such that the sum of the predecessor and successor primes is divisible by 31.at n=31A113155
- Sequence of primes based on the powers of the golden mean; see formula section for description.at n=11A114345
- Numbers k such that k + prime(k) gives a triangular number.at n=39A115882
- Prime numbers that are the sum of consecutive prime numbers with the final digit 1 (primes in A030430).at n=5A129077
- Numbers k such that k and k^2 use only the digits 0, 1, 3, 6 and 8.at n=12A136849
- Prime numbers k such that k^2 +- (k+1) are primes.at n=30A137460
- Primes of the form 47x^2+38xy+47y^2.at n=39A140043