Properties of the Number 4153

Four Thousand One Hundred Fifty-Three

Basics

Value: 4152 → 4153 → 4154

Parity: odd

Prime: Yes

Previous Prime: 4139

Next Prime: 4157

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 4153

Divisors: 1, 4153

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000000111001

Octal: 10071

Duodecimal: 24A1

Hexadecimal: 1039

Square: 17247409

Square Root: 64.4437739428721

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: Yes

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Number of ways to choose a strict partition of each part of a strict partition of n. A279785

Initial members of prime triples (p, p+4, p+6). A22005

Honaker primes: primes P(k) such that sum of digits of P(k) equals sum of digits of k. A33548

Primes with first digit 4. A45710

Trajectory of n under the Reverse and Add! operation carried out in base 2 does not reach a palindrome and (presumably) does not join the trajectory of any term m < n. A75252

Primes such that the sum of the predecessor and successor primes is divisible by 17. A112796

T(n,k)=Number of length n 0..k arrays with each partial sum starting from the beginning no more than one standard deviation from its mean. A244788

Numbers that contain the product of any two adjacent digits as a substring, and have at least one pair of adjacent digits > 1. A203566

Primes at which the difference pattern X42Y (X and Y >= 6) occurs in A001223. A52164

Primes p such that x¹² = 2 has a solution mod p, but x^12² = 2 has no solution mod p. A70188