10301
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 5
- Digital Root
- 5
- Palindromic Number
- yes
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 10302
- 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
- 10300
- Möbius Function
- -1
- Radical
- 10301
- 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
- 148
- 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
- 1263
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Palindromic primes: prime numbers whose decimal expansion is a palindrome.at n=20A002385
- Octal palindromes which are also primes.at n=17A006341
- Palindromic reflectable primes.at n=7A007616
- Numbers k such that the continued fraction for sqrt(k) has period 25.at n=32A020364
- Primes that remain prime through 3 iterations of function f(x) = 2x + 9.at n=25A023276
- Least k>1 such that reverse complement of first n terms of Kolakoski sequence (A000002) repeats beginning at k-th term.at n=47A025504
- Palindromes of form n^2 + 3*n + 1.at n=10A028349
- Smallest palindromic prime with 2n-1 digits.at n=2A028989
- Odd palindromes in which parity of digits alternates.at n=31A030148
- Palindromic primes in which parity of digits alternates.at n=10A030150
- Palindromic Super-2 Numbers.at n=12A032750
- Denominators of continued fraction convergents to sqrt(26).at n=4A041041
- Denominators of continued fraction convergents to sqrt(104).at n=4A041187
- Denominators of continued fraction convergents to sqrt(234).at n=8A041437
- Denominators of continued fraction convergents to sqrt(416).at n=8A041791
- Denominators of continued fraction convergents to sqrt(650).at n=4A042249
- Denominators of continued fraction convergents to sqrt(936).at n=8A042811
- Base 10 palindromes that start with 1.at n=25A043036
- Erroneous version of A256957.at n=4A046210
- Palindromic primes containing no pair of consecutive equal digits.at n=19A050784