Properties of the Number 13724

Thirteen Thousand Seven Hundred Twenty-Four

Basics

Value: 13723 → 13724 → 13725

Parity: even

Prime: No

Previous Prime: 13723

Next Prime: 13729

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ² × 47 × 73

Divisors: 1, 2, 4, 47, 73, 94, 146, 188, 292, 3431

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 11010110011100

Octal: 32634

Duodecimal: 7B38

Hexadecimal: 359c

Square: 188348176

Square Root: 117.14947716485976

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: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Number of partitions of n in which the sequence of the sum of the same summands is increasing. A304428

Number of strongly unimodal partitions of n (strongly unimodal means strictly increasing then strictly decreasing). A59618

Numbers k such that k!/k#-1 is prime, where k# is the primorial function (A034386). A140293

G.f. satisfies A(x) = 1 + x⁵*A(x)³ / (1 - x·A(x)). A365700

Composite numbers k such that k!/k# - 1 is prime, where k# = primorial numbers A034386. A49421

Numbers n such that n² is a sum of 2 and also of 4 consecutive primes. A252066

a(n) = ∑_i=1..n (-1)ⁱ⁺¹ prime(i)², where prime(k) denotes the k-th prime: alternating sum of the squares of the first n primes. A240860

Number of partitions of n with difference 4 between the number of odd parts and the number of even parts, both counted without multiplicity. A242695

Numbers k such that the largest prime divisor of k⁴+1 is less than k. A309562

Numbers m such that m, m' and m'' are in arithmetic progression, where m' and m'' are the first and second arithmetic derivatives of m. A212409