10401
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 6
- Digital Root
- 6
- Palindromic Number
- yes
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 13872
- Proper Divisor Sum (Aliquot Sum)
- 3471
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6932
- Möbius Function
- 1
- Radical
- 10401
- 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
- 148
- 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
- Base 10 palindromes that start with 1.at n=26A043036
- a(n)^2 is a square whose decimal expansion digits occur with an exact frequency of 3.at n=2A052095
- Number of 3 X 3 integer matrices with elements in the range [ -n,n ] which represent a rotation of order 2.at n=8A053171
- Numbers k such that k^2 contains only digits {0,1,8}, not ending with zero.at n=7A058421
- Palindromes n for which there is a unique k such that n = k + reverse(k).at n=13A068065
- Numbers n for which there is a unique k such that n = k + reverse(k).at n=35A072427
- Palindromic odd squarefree numbers with an even number of distinct prime factors.at n=43A075810
- Palindromic odd numbers with exactly 2 prime factors (counted with multiplicity).at n=41A075812
- Triangle in which the n-th row contains n palindromes beginning with n.at n=51A077526
- a(n) = 10*n^2 + 5*n + 1.at n=32A080860
- Triangle read by rows in which row n gives n smallest palindromic numbers of n digits each.at n=14A081930
- Diagonal of triangle in A081930.at n=4A081931
- Main diagonal of number array A082105.at n=10A082106
- Palindromic time display in hours, minutes, seconds on a six spaced 24-hour digital clock, using hours 1-24.at n=4A082567
- Palindromes in A082939.at n=10A082940
- Maximum value taken on by f(P) = Sum_{i=1..n} p(i)*p(n+1-i) as {p(1),p(2),...,p(n)} ranges over all permutations P of {1,2,3,...,n}.at n=31A087035
- a(1) = 2; then least palindrome greater than the previous term such that every partial concatenation is a prime.at n=9A088084
- Numbers k such that k, k+2, k+4, k+6, k+8 are semiprimes.at n=33A092127
- Numbers k such that k, k+2, k+4, k+6, k+8, k+10 are semiprimes.at n=11A092128
- Number of distinct products i*j*k*l for 1 <= i < j < k < l <= n.at n=34A100438