10025
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 8
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 12462
- Proper Divisor Sum (Aliquot Sum)
- 2437
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8000
- Möbius Function
- 0
- Radical
- 2005
- Omega Function (Ω)
- 3
- 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
- 91
- 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
- Discriminants of totally real quartic fields (see comments).at n=37A002769
- Positive numbers k such that k and 2*k are anagrams in base 9 (written in base 9).at n=18A023079
- a(n+1) = a(n) converted to base 10 from base 9 (written in base 10).at n=45A023392
- Least term in period of continued fraction for sqrt(n) is 8.at n=27A031432
- Number of partitions of n with equal nonzero number of parts congruent to each of 0 and 4 (mod 5).at n=44A035565
- Numbers m such that m^2 can be obtained from m by inserting an internal block of (contiguous) digits.at n=22A045953
- Numbers k such that k^2 can be obtained from k by inserting a block of digits.at n=29A046838
- Smallest number k such that there are exactly n relatively prime numbers using all digits of k.at n=24A075604
- Index of first occurrence of n in A091853, or 0 if no such number exists.at n=36A091854
- Number of times the digit 3 appears in the first 10^n digits of Pi.at n=4A099294
- Number of times the digit 7 appears in the first 10^n digits of Pi.at n=4A099298
- a(n) = A116648(2^n).at n=14A116651
- Times in hours, minutes and seconds (to the nearest second) at which the hour and minute hands of an analog clock, if interchanged, continue to indicate some other albeit accurate times, over a complete 12-hour sweep for the slower hand. Leading zeros omitted.at n=12A121577
- Triangle read by rows: T(n,k) is the number of ordered trees with n edges and k protected vertices (0<=k<=n-1). A protected vertex in an ordered tree is a vertex at least 2 edges away from its leaf descendants.at n=58A143362
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 1, 0), (0, 1, -1), (1, 0, -1), (1, 1, 0)}.at n=9A148685
- a(n) = 16n^2 + n.at n=24A157474
- a(n) = 625*n^2 + 25.at n=3A157915
- Hypotenuses c of primitive Pythagorean Triples (a,b,c) such that 2*a+1, 2*b+1 and 2*c+1 are primes.at n=27A165238
- Fibonacci sequence beginning 1, 69.at n=12A166067
- Sum of a positive square and a positive cube in at least three ways.at n=17A171385