10801
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- yes
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 12352
- Proper Divisor Sum (Aliquot Sum)
- 1551
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 9252
- Möbius Function
- 1
- Radical
- 10801
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 161
- 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
- One half of number of non-self-conjugate partitions; also half of number of asymmetric Ferrers graphs with n nodes.at n=37A000701
- Strobogrammatic numbers: the same upside down.at n=41A000787
- a(n) = n*(7*n^2 - 1)/6.at n=21A004126
- Numbers with mirror symmetry about middle.at n=19A006072
- Numbers k such that Fib(k) == -13 (mod k).at n=37A023167
- Number of partitions of n into an even number of parts.at n=37A027187
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 64 ones.at n=16A031832
- Palindromic Fibonacci-lucky numbers.at n=45A039674
- Base 10 palindromes that start with 1.at n=30A043036
- Palindromic and divisible by 7.at n=34A045642
- Vertically symmetric numbers.at n=41A053701
- Numbers k such that k^2 contains only digits {0,1,6}, not ending with zero.at n=4A058417
- Palindromes n for which there is a unique k such that n = k + reverse(k).at n=15A068065
- Numbers n for which there is a unique k such that n = k + reverse(k).at n=37A072427
- Palindromic odd squarefree numbers with an even number of distinct prime factors.at n=44A075810
- Palindromic odd numbers with exactly 2 prime factors (counted with multiplicity).at n=42A075812
- Smallest palindrome beginning with n and digit sum n, or 0 if no such number exists.at n=9A082217
- Palindromic time display in hours, minutes, seconds on a six spaced 24-hour digital clock, using hours 1-24.at n=8A082567
- a(1)=1, a(2)=2, otherwise a(n) is the sum of the preceding terms a(j), 1<=j<n, where gcd(n,j)=1.at n=16A082866
- Smallest palindrome beginning with n and a digit sum of n at some stage.at n=9A082935