2407
domain: N
Properties
Digital Properties
- Digit Count
- 4
- 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
- 2520
- Proper Divisor Sum (Aliquot Sum)
- 113
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2296
- Möbius Function
- 1
- Radical
- 2407
- 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
- 71
- 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
- Coordination sequence T10 for Zeolite Code MFI.at n=31A008162
- "Pascal sweep" for k=7: draw a horizontal line through the 1 at C(k,0) in Pascal's triangle; rotate this line and record the sum of the numbers on it (excluding the initial 1).at n=59A009504
- Coordination sequence T3 for Zeolite Code -CLO.at n=43A009852
- Coordination sequence T4 for Zeolite Code RTH.at n=34A009896
- Apply partial sum operator twice to Stern's sequence.at n=11A014172
- Numbers k giving rise to prime quadruples (30k+11, 30k+13, 30k+17, 30k+19).at n=29A014561
- Numbers k such that sigma(k) = sigma(k+12).at n=23A015882
- Convolution of A023532 and (1, p(1), p(2), ...).at n=40A023598
- Numbers having period-1 5-digitized sequences.at n=32A031187
- Numbers k such that if d,e are consecutive digits of k in base 6, then |d-e| >= 4.at n=29A032988
- Decimal part of cube root of a(n) starts with 4: first term of runs.at n=12A034130
- Number of partitions of n into parts not of form 4k+2, 16k, 16k+1 or 16k-1.at n=52A036020
- a(n)=A033005(n)/8.at n=47A043311
- Numbers whose base-7 representation contains exactly three 0's.at n=11A043395
- Numbers k such that string 6,4 occurs in the base 9 representation of n but not of k-1.at n=32A044309
- Numbers k such that the string 0,7 occurs in the base 10 representation of k but not of k-1.at n=25A044339
- Numbers n such that string 6,4 occurs in the base 9 representation of n but not of n+1.at n=32A044690
- Numbers n such that string 0,7 occurs in the base 10 representation of n but not of n+1.at n=25A044720
- Maximal elements of pairs of "Super Unitary Amicable Numbers", sorted by their minimal elements.at n=11A045614
- Handsome numbers (A007532) representable in exactly two distinct ways (counting different powers of duplicated digits as distinct).at n=28A050241