10653
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 14688
- Proper Divisor Sum (Aliquot Sum)
- 4035
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6864
- Möbius Function
- -1
- Radical
- 10653
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 3
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
- 86
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- Partial sums of A001891.at n=13A053808
- Numbers k such that k^16 == 1 (mod 17^3).at n=37A056088
- Numbers k such that prime(k) + prime(k+1) is a square.at n=32A064397
- a(n) = n^3 + 5.at n=22A084381
- Numbers k such that prime(k) + prime(k+1) is a perfect power.at n=38A132746
- a(n) = A000045(n+6) - (n^2 + 4*n + 8).at n=15A163250
- Number of (n+3) X 9 binary arrays with every 4 X 4 subblock commuting with each horizontal and vertical neighbor 4 X 4 subblock.at n=6A188102
- Number of (n+3)X10 binary arrays with every 4X4 subblock commuting with each horizontal and vertical neighbor 4X4 subblock.at n=5A188103
- Number of ways to reciprocally link elements of an nX7 array either to themselves or to exactly two horizontal, diagonal and antidiagonal neighbors, without consecutive collinear links.at n=2A220737
- T(n,k)=Number of ways to reciprocally link elements of an nXk array either to themselves or to exactly two horizontal, diagonal and antidiagonal neighbors, without consecutive collinear links.at n=38A220738
- Number of ways to reciprocally link elements of an 3Xn array either to themselves or to exactly two horizontal, diagonal and antidiagonal neighbors, without consecutive collinear links.at n=6A220740
- Sum of the largest parts in the partitions of n into 6 parts.at n=33A308873
- Numbers missing from A317415.at n=0A317417
- a(n) sets a new record for the Lychrel number a(n) of 'Reverse and Add' steps, needed to reach a Lychrel number m < a(n) (i.e., its seed).at n=3A323975
- Number of compositions (ordered partitions) of n into distinct parts >= 7.at n=57A339108
- Number of ways to write n as an ordered sum of 6 prime powers (including 1).at n=16A341135
- Integers k such that there exists an integer 0<m<k such that sigma(m)^2 + sigma(k)^2 = (m+k)^2.at n=47A383484
- Partial sums of A247287.at n=10A387263