10501
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 7
- Digital Root
- 7
- Palindromic Number
- yes
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 10502
- 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
- 10500
- Möbius Function
- -1
- Radical
- 10501
- 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
- 29
- 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
- 1285
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Wagstaff numbers: numbers k such that (2^k + 1)/3 is prime.at n=24A000978
- Palindromic primes: prime numbers whose decimal expansion is a palindrome.at n=21A002385
- Number of numbers of complexity n, i.e., that can be built from n ones using + and *, and require at least that many ones.at n=31A005421
- Strobogrammatic primes: the same upside down (calculator-style numerals).at n=9A018847
- Primes that remain prime through 3 iterations of function f(x) = 3x + 8.at n=11A023279
- Odd palindromes in which parity of digits alternates.at n=32A030148
- Palindromic primes in which parity of digits alternates.at n=11A030150
- Palindromic lucky numbers.at n=28A031161
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 72 ones.at n=8A031840
- Lucky numbers that are both palindromic and prime.at n=5A031881
- Lesser of two consecutive palindromes, both of which are prime.at n=5A032593
- Palindromic Super-2 Numbers.at n=13A032750
- Palindromic prime lengths of factorials: see A035067.at n=15A035068
- Palindromic Fibonacci-lucky numbers.at n=44A039674
- Palindromic and prime Fibonacci-lucky numbers.at n=13A039679
- Base 10 palindromes that start with 1.at n=27A043036
- Palindromic primes containing no pair of consecutive equal digits.at n=20A050784
- Primes associated with A052507.at n=38A052480
- a(n) = a(n-1) + 20*a(n-2), n >= 2; a(0)=1, a(1)=1.at n=6A053428
- Primes p such that the greatest prime divisor of p-1 is 7.at n=42A061638