10777
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 11620
- Proper Divisor Sum (Aliquot Sum)
- 843
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 9936
- Möbius Function
- 1
- Radical
- 10777
- 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
- Number of ordered quadruples of integers from [ 2,n ] with no common factors between triples.at n=24A015639
- Pseudoprimes to base 77.at n=37A020205
- Numbers k such that the continued fraction for sqrt(k) has period 31.at n=37A020370
- a(0) = 0. For n > 0, smallest non-palindromic number k such that the smallest palindrome in the Reverse and Add! trajectory of k is reached after exactly n iterations.at n=19A023109
- Least number of Reverse-then-add persistence n.at n=19A033866
- Number of partitions in parts not of the form 23k, 23k+3 or 23k-3. Also number of partitions with at most 2 parts of size 1 and differences between parts at distance 10 are greater than 1.at n=37A035991
- Numbers having three 7's in base 10.at n=36A043519
- 5-digit terms in the continued fraction for Pi.at n=18A048960
- Numbers k such that x^k + x^7 + 1 is irreducible over GF(2).at n=41A057477
- Numbers k>7 such that x^k + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1 is irreducible over GF(2).at n=28A057485
- The array in A059216 read by antidiagonals in 'up' direction.at n=41A059217
- The array in A059216 read by antidiagonals in the direction in which it was constructed.at n=39A059234
- Non-palindromic number and its reversal are both multiples of 13.at n=39A062912
- Triangle read by rows: T(n,k) = number of peakless Motzkin paths of length n having k (1,1) steps starting at level zero (can be easily expressed also in RNA secondary structure terminology).at n=47A089736
- Number of nX2 0..3 arrays with every diagonal, row and column running average nondecreasing rightwards and downwards and diagonally.at n=5A201830
- Number of nX6 0..3 arrays with every diagonal, row and column running average nondecreasing rightwards and downwards and diagonally.at n=1A201834
- T(n,k)=Number of nXk 0..3 arrays with every diagonal, row and column running average nondecreasing rightwards and downwards and diagonally.at n=22A201836
- T(n,k)=Number of nXk 0..3 arrays with every diagonal, row and column running average nondecreasing rightwards and downwards and diagonally.at n=26A201836
- Composite numbers and 1 which yield a prime whenever a 7 is inserted anywhere in them, including at the beginning or end.at n=35A216168
- Number of partitions of n such that (greatest part) - (least part) <= number of parts.at n=35A237831