10237
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 10620
- Proper Divisor Sum (Aliquot Sum)
- 383
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 9856
- Möbius Function
- 1
- Radical
- 10237
- 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
- 117
- 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
- Powers of fifth root of 13 rounded down.at n=18A018150
- Numbers with exactly five distinct base-10 digits.at n=3A031987
- Number of anagrams of a(n) that are prime increases.at n=12A046888
- a(n) is the least integer that has exactly n anagrams that are primes.at n=20A046890
- Values of n where number of permutations of digits a(n) that are prime increases.at n=14A046891
- a(n) is the least number with exactly n permutations of digits that are primes.at n=31A046893
- Numbers where the difference of consecutive fifth powers is "close" to another fifth power: let m = k^5 - (k-1)^5; sequence lists the numbers k where m - floor(m^(1/5))^5 < floor(sqrt(k))^5.at n=3A053804
- Primeval numbers: numbers that set a record for the number of distinct primes that can be obtained by permuting some subset of their digits.at n=17A072857
- Let u(1)=u(2)=1, u(3)=n, u(k) = (1/2)*abs(2*u(k-1) -u(k-2)-u(k-3)); sequence gives values of n such that Sum_{k>=1} u(k) is an integer.at n=22A078113
- Expansion of 1/((1-x)^3 - 9*x^4)^(1/3).at n=13A098536
- Numerator of sum of reciprocals of first n 5-simplex numbers A000389.at n=23A118431
- The number of edges on a piece of paper that has been folded n times (see comments for more precise definition).at n=21A133257
- Expansion of (1 - x + 3*x^2)/((1-x)*(1-2*x)).at n=12A154117
- Partial sums of A000141.at n=12A175361
- Partial sums of A173862.at n=34A200672
- 50k^2-20k-23 interleaved with 50k^2+30k+17 for k=>0.at n=29A217894
- 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=36A234692
- Semiprimes which have one or more occurrences of exactly five different digits.at n=0A235693
- Five-digit odd semiprimes with all digits distinct.at n=0A247948
- Main diagonal of Ludic array A255127 (and A255129): a(n) = A255127(n,n).at n=18A255410