10177
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 10178
- 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
- 10176
- Möbius Function
- -1
- Radical
- 10177
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 34
- 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
- 1250
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of unsensed planar maps with n edges and without faces or vertices of degree 1.at n=10A006397
- Numbers k such that the continued fraction for sqrt(k) has period 83.at n=5A020422
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted then there are a pair of central terms both equal to 6.at n=33A031419
- Primes p such that x^53 = 2 has no solution mod p.at n=22A059258
- Primes p such that x^8 = 2 has a solution mod p, but x^(8^2) = 2 has no solution mod p.at n=23A070184
- Emirps which when concatenated with their reversals after a 0 make a palindromic prime of the form emirp0prime.at n=40A070954
- Diagonal of A088262.at n=30A088263
- Primes of the form 6*p - 5 such that p and 6*p - 1 are primes.at n=38A090607
- a(1) = 2, a(2) = 1; for n >= 3, a(n) = least prime not included earlier that divides the concatenation of all previous terms.at n=5A096097
- Primes of the form a^5 + b^4 with a>0.at n=8A100274
- Primes of the form 128n+65.at n=21A105129
- Primes such that the sum of the predecessor and successor primes is divisible by 37.at n=32A113156
- Numbers n such that p(10n) is prime, where p(n) is the number of partitions of n.at n=17A114170
- Primes p that remain prime through at least 2 iterations of the function f(p) = p^2 + 4.at n=26A116886
- Primes p that divide Fibonacci[(p+1)/7].at n=16A125252
- Primes of the form 12*x^2+12*x*y+73*y^2.at n=36A139990
- Primes of the form 33x^2+40y^2.at n=37A140010
- Primes of the form 28x^2+28xy+73y^2.at n=40A140039
- Primes of the form 28x^2+12xy+57y^2.at n=35A140621
- Primes of the form 2*3*5*7*k + 97.at n=26A141899