10701
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- yes
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 16380
- Proper Divisor Sum (Aliquot Sum)
- 5679
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6720
- Möbius Function
- 0
- Radical
- 3567
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 47
- 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
- Cake numbers: maximal number of pieces resulting from n planar cuts through a cube (or cake): C(n+1,3) + n + 1.at n=40A000125
- a(n) = s(n+3)/6, where s is A024743.at n=8A024744
- a(n) = s(n+3)/2, where s is A024963.at n=7A024964
- Odd palindromes in which parity of digits alternates.at n=33A030148
- Palindromic Super-2 Numbers.at n=15A032750
- Base 10 palindromes that start with 1.at n=29A043036
- Palindromic and divisible by 9.at n=23A045644
- Palindromes with exactly 4 prime factors (counted with multiplicity).at n=39A046330
- Numbers n such that 121*2^n-1 is a prime.at n=14A050586
- 15-gonal (or pentadecagonal) numbers: n*(13n-11)/2.at n=41A051867
- Number of step shifted (decimated) sequence structures using exactly five different symbols.at n=9A056399
- Triple Peano sequence: a list of triples (x,y,z) starting at (1,1,1); then x'=x+1, y'=y+x, z'=z+y, for x only ranging over the primes.at n=38A071988
- Third terms of triple Peano sequence A071988.at n=12A072206
- Palindromic numbers with prime middle digit.at n=43A076609
- Last term of n-th row of A077526.at n=9A077525
- Triangle in which the n-th row contains n palindromes beginning with n.at n=54A077526
- Palindromes divisible by their digit sum.at n=34A082232
- Triangle whose n-th row contains n smallest palindromes with a digit sum of n.at n=41A082264
- Palindromic time display in hours, minutes, seconds on a six spaced 24-hour digital clock, using hours 1-24.at n=7A082567
- Palindromes in A082939.at n=11A082940