10601
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 8
- Digital Root
- 8
- Palindromic Number
- yes
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 10602
- 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
- 10600
- Möbius Function
- -1
- Radical
- 10601
- 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
- 1293
- 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=22A002385
- Half-quartan primes: primes of the form p = (x^4 + y^4)/2.at n=8A002646
- Octal palindromes which are also primes.at n=18A006341
- Numbers k such that the continued fraction for sqrt(k) has period 55.at n=13A020394
- Primes of the form k^2 - 8.at n=23A028886
- Greater of two consecutive palindromes, both of which are prime.at n=5A032594
- Palindromic Super-2 Numbers.at n=14A032750
- Base 10 palindromes that start with 1.at n=28A043036
- Numbers whose base-4 representation contains exactly three 1's and four 2's.at n=27A045104
- Palindromic primes containing no pair of consecutive equal digits.at n=21A050784
- Primes p from A031924 such that A052180(p) = 23.at n=12A052238
- Primes associated with A052507.at n=42A052480
- Primes p whose reciprocal has period (p-1)/10.at n=17A056215
- Primes p such that x^53 = 2 has no solution mod p.at n=23A059258
- Numbers whose cubes contain more than half the same digit and do not end in 0.at n=28A060814
- Primes whose sum of digits is 8.at n=36A062343
- Primes of form 100*k + 1.at n=32A062800
- Primes which can be expressed as concatenation of powers of 6 and 0's.at n=15A066597
- Palindromes n for which there is a unique k such that n = k + reverse(k).at n=14A068065
- Numbers n such that phi(n) + sigma(n) = n + reversal(n).at n=23A069217