10901
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- yes
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 11904
- Proper Divisor Sum (Aliquot Sum)
- 1003
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 9900
- Möbius Function
- 1
- Radical
- 10901
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 68
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers that are the sum of 2 positive 5th powers.at n=19A003347
- Numbers that are the sum of at most 2 positive 5th powers.at n=26A004842
- 5-dimensional centered cube numbers.at n=5A008515
- Positive numbers k such that k = x^5 + y^5 has a solution in nonzero integers x, y.at n=35A020896
- Odd palindromes in which parity of digits alternates.at n=34A030148
- Composite numbers whose prime factors contain no digits other than 1 and 9.at n=13A036309
- Base 10 palindromes that start with 1.at n=31A043036
- Numbers whose base-2 representation has exactly 13 runs.at n=4A043580
- Numbers whose base-4 representation contains exactly three 1's and four 2's.at n=34A045104
- Numbers that are palindromic, divisible by 11 and have an odd number of digits.at n=8A045571
- a(n) = a(1) + a(2) + ... + a(n-1) + a(m) for n >= 4, where m = 2^(p+1) + 2 - n and p is the unique integer such that 2^p < n - 1 <= 2^(p+1), starting with a(1) = 1, a(2) = 3, and a(3) = 2.at n=13A049969
- Difference between average of smallest prime greater than n^3 and largest prime less than (n+1)^3 and n-th pronic [=n(n+1)].at n=20A063036
- Record values in A073524.at n=15A073529
- a(n) = 5^n + 6^n.at n=5A074615
- Palindromic odd squarefree numbers with an even number of distinct prime factors.at n=45A075810
- Palindromic odd numbers with exactly 2 prime factors (counted with multiplicity).at n=43A075812
- a(n) = A078213(n)/n.at n=10A078214
- Palindromes divisible by their digit sum.at n=35A082232
- Palindromic time display in hours, minutes, seconds on a six spaced 24-hour digital clock, using hours 1-24.at n=9A082567
- a(n) is the odd-length palindrome whose digits up to the center are those of n and whose center digit is equal to the digital root of the product of the factorial of n and the reverse of n.at n=9A082941