Properties of the Number 1629

One Thousand Six Hundred Twenty-Nine

Basics

Value: 1628 → 1629 → 1630

Parity: odd

Prime: No

Previous Prime: 1627

Next Prime: 1637

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 181

Divisors: 1, 3, 9, 181, 543, 1629

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 11001011101

Octal: 3135

Duodecimal: B39

Hexadecimal: 65d

Square: 2653641

Square Root: 40.36087214122113

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

Odd numbers of the form p^1+4k * r², where p is prime of the form 1+4m, r > 1, and gcd(p,r) = 1. (Euler's criteria for odd perfect numbers). A228058

Number of compositions (ordered partitions) of n that are concave-down sequences. A70211

a(n) is the number of prime powers k such that ceiling(log₂(k)) = n. A304521

Multiples of 9 containing a 9 in their decimal representation. A121029

Triangle read by rows: T(n,k) = number of lattice paths from (0,0) to (n,k) that do not go below the line y=0 and consist of steps U=(1,1), D=(1,-1) and three types of steps H=(1,0) (left factors of 3-Motzkin steps). A91965

Number of integer partitions of n such that every set of distinct parts has a different sum. A325862

|First digit - second digit + third digit - fourth digit ...| = 12. A60980

Icosahedral numbers: a(n) = n*(5·n² - 5·n + 2)/2. A6564

a(n) = 90·n - 81. A139280

Numbers k whose largest divisor <= sqrt(k) equals 9. A162529