15451
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- yes
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 15452
- 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
- 15450
- Möbius Function
- -1
- Radical
- 15451
- 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
- 58
- 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
- 1805
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Restricted permutations.at n=13A000382
- Palindromic primes: prime numbers whose decimal expansion is a palindrome.at n=33A002385
- Lesser of two consecutive palindromes, both of which are prime.at n=9A032593
- Discriminants of imaginary quadratic fields with class number 23 (negated).at n=32A046020
- Palindromic primes containing no pair of consecutive equal digits.at n=29A050784
- Numbers n such that phi(n) + sigma(n) = n + reversal(n).at n=34A069217
- Numbers n such that n and 2n+1 are both palindromes.at n=32A069881
- Primes which can be represented as the sum of a number and its reverse.at n=40A072382
- Numbers n for which there are exactly six k such that n = k + reverse(k).at n=34A072430
- Palindromic primes with nonprime middle digit.at n=14A076613
- Palindromic primes with middle digit 4.at n=2A082440
- a(n) = smallest palindromic prime that begins with A082768(n) and contains more than twice the number of digits in A082768(n), or 0 if no such number exists.at n=9A082770
- Smallest palindromic number relatively prime to all the previous terms.at n=43A083137
- Primes in A083137.at n=33A083139
- Smallest palindromic prime containing exactly n 5's.at n=1A083976
- a(n) = n^2 concatenated with reverse(n^2) divided by 11.at n=13A084009
- Prime power decimal palindromes.at n=42A084092
- Smallest odd prime p such that n = (p - 1) / ord_p(2).at n=24A101208
- Palindromes n such that n+(product of digits of n) gives a larger palindrome.at n=7A114341
- Palindromic primes in base 6 (written in base 6).at n=20A117701