10557
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 17280
- Proper Divisor Sum (Aliquot Sum)
- 6723
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6336
- Möbius Function
- 0
- Radical
- 1173
- Omega Function (Ω)
- 5
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 148
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- a(n) = floor(n(n+2)(2n+1)/8).at n=34A002717
- a(n) = n*(29*n - 1)/2.at n=27A022286
- n plus a googol is prime.at n=29A049014
- Numbers n such that 55*2^n-1 is prime.at n=35A050553
- Numbers n such that phi((prime(n)+1)/2)=sigma(n).at n=29A068473
- Denominator of Product_{k=0..n} ((2*k+1)/(2*k+2))^((-1)^t(k)) where t(k)=A010060(k) (Thue-Morse sequence).at n=13A094542
- Indices of primes in sequence defined by A(0) = 97, A(n) = 10*A(n-1) - 3 for n > 0.at n=18A101013
- Number of geometrically distinct edge-unfoldings of a regular n-gonal pyramid.at n=10A103536
- a(n) = n*(n^2 + 2*n - 1)/2.at n=26A127736
- Numbers (excluding primes and powers of primes) such that the square mean of their prime factors is a prime (where the square mean of c and d is sqrt((c^2+d^2)/2)).at n=40A134604
- a(n) = n*(n+1)*(4*n+1)/2.at n=17A135713
- Wiener index of the prism graph Y_n on 2n nodes.at n=26A138179
- "Trim" numbers that are not prime; see reference for definition.at n=30A145555
- Wiener index of the Moebius ladder M(n).at n=26A180857
- a(n) = n*(14*n + 13).at n=27A195028
- Right edge of the triangle A045975.at n=26A204557
- Number of nX1 0..2 arrays with every row and column least squares fitting to a zero slope straight line, with a single point array taken as having zero slope.at n=11A223743
- Sum of the next to smallest parts in the partitions of 4n into 4 parts with smallest part = 1.at n=25A239195
- Row 5 of A277710: Positions of 5's in A264977; positions of 10's in A277330.at n=29A277715
- Number of positive meanders (walks starting at the origin and ending at any altitude > 0 that never touch or go below the x-axis in between) with n steps from {-2,-1,1,2}.at n=8A278394