10175
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 14136
- Proper Divisor Sum (Aliquot Sum)
- 3961
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7200
- Möbius Function
- 0
- Radical
- 2035
- Omega Function (Ω)
- 4
- 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
- 179
- 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
- Positive numbers k such that k and 5*k are anagrams in base 9 (written in base 9).at n=1A023082
- Numbers whose base-7 representation contains exactly four 4's.at n=5A043412
- Numbers k such that sopfr(k) = sopf(k+1), where sopf(k) = A008472(k) and sopfr(k) = A001414(k).at n=13A064675
- Number of 5-gonal compositions of n into positive parts.at n=26A069983
- Number of permutations satisfying -k<=p(i)-i<=r and p(i)-i not in I, i=1..n, with k=1, r=5, I={0,2}.at n=29A079966
- a(n) = A083964(n)/(2n-1).at n=28A083965
- Index of first occurrence of n in A091853, or 0 if no such number exists.at n=31A091854
- Least number beginning with n such that every partial sum is a square.at n=9A095158
- Indices of primes in sequence defined by A(0) = 37, A(n) = 10*A(n-1) + 17 for n > 0.at n=2A101846
- Where records occur in A117831.at n=17A118474
- 5 times pentagonal numbers: 5*n*(3*n-1)/2.at n=37A152734
- 11 times pentagonal numbers: 11*n*(3n-1)/2.at n=25A153449
- Integers of the form 4n+3 for which Sum_{i=1..u} J(i,4n+3) obtains value zero exactly 9 times, when u ranges from 1 to (4n+3). Here J(i,k) is the Jacobi symbol.at n=31A166059
- a(n) = prime(n)^2 - n.at n=25A182174
- Number of compositions of n such that the number of parts and the greatest part are coprime.at n=14A199886
- Number of (w,x,y,z) with all terms in {1,...,n} and w^2>x^2+y^2+z^2.at n=17A212094
- Numbers with exactly 11 nonprime substrings (substrings with leading zeros are considered to be nonprime).at n=18A213318
- Decimal value of the bitmap of active segments in 7-segment display of the number n, variant 2 ("abcdefg" scheme: bits represent segments in clockwise order).at n=30A234692
- Triangle of coefficients arising in study of up-down permutations.at n=33A244888
- Number of integer partitions of n such that every pair of distinct parts has a different quotient.at n=36A325853