10477
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 10478
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 10476
- Möbius Function
- -1
- Radical
- 10477
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- 104
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1282
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Expansion of tan(log(1+x))/cos(x).at n=7A009646
- Numbers k such that the continued fraction for sqrt(k) has period 93.at n=6A020432
- Shifts left 2 places under "CIJ" (necklace, indistinct, labeled) transform.at n=8A032186
- Exactly 5 digits from {1,2,3,4,5,6,7,8,9} can precede a(n) to form a lucky number.at n=35A032701
- Expansion of 1/(1-x)^2/(1-x^2)/(1-x^3)/(1-x^5)/(1-x^8).at n=40A034379
- n! has a palindromic prime number of digits.at n=23A035067
- Differences between numbers k such that k and k+1 have the same sum of divisors.at n=8A054001
- Primes p that remain prime through at least 2 iterations of the function f(p) = p^2 + 4.at n=27A116886
- Primes for which the level is equal to 9 in A117563.at n=29A118481
- Intersection of A061068 and A064270.at n=25A128996
- Primes p of Erdos-Selfridge class 3+ with largest prime factor of p+1 not of class 2+.at n=34A129471
- a(n) = least m such that sum of m reciprocal primes starting with n-th prime is >1.at n=18A137368
- Primes of the form 13x^2+105y^2.at n=35A140020
- Primes congruent to 30 mod 31.at n=43A142034
- Primes congruent to 6 mod 37.at n=32A142115
- Primes congruent to 22 mod 41.at n=31A142219
- Primes congruent to 28 mod 43.at n=33A142277
- Primes congruent to 43 mod 47.at n=30A142394
- Primes congruent to 40 mod 49.at n=31A142448
- Primes congruent to 22 mod 51.at n=41A142489