7153
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 7488
- Proper Divisor Sum (Aliquot Sum)
- 335
- 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
- 6820
- Möbius Function
- 1
- Radical
- 7153
- 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
- 75
- 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
- Number of points of norm <= n in cubic lattice.at n=12A000605
- 11*n^2 + 11*n + 3.at n=25A006222
- Number of partitions of 2*n into at most 4 parts.at n=48A014126
- Numbers k such that the continued fraction for sqrt(k) has period 94.at n=15A020433
- a(n) = n*(27*n + 1)/2.at n=23A022285
- A024723(n+3)/2.at n=16A024724
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 36 ones.at n=31A031804
- Lucky numbers with size of gaps equal to 14 (lower terms).at n=36A031896
- Numbers whose set of base-13 digits is {3,4}.at n=16A032837
- Closed 3-dimensional ball numbers (version 1): a(n)= number of integer points (i,j,k) contained in a closed ball of diameter n, centered at (0,0,0).at n=24A053591
- Difference between 3^n and highest power of 2 less than or equal to 3^n.at n=12A056577
- Minimal absolute difference of 3^n and 2^k.at n=12A056850
- Difference between 2^n and the next larger or equal power of 3.at n=19A063004
- a(n) = minimum value of abs(2^n - 3^k).at n=19A064024
- First differences of A006899.at n=30A108906
- sigma(n) + n is a square.at n=20A114069
- sigma(n) + n is a fourth power.at n=1A114071
- Expansion of eta(q^3) * eta(q^33) / ( eta(q)* eta(q^11)) in powers of q.at n=40A128663
- The number of different configurations of an n-block of a shift space with k symbols where each symbol but the first must appear isolated and separated from others by an block of length at least m made of first symbol. Here k=49 and m=2.at n=4A131601
- 9^n mod 8^n.at n=6A139733