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21,306

21,306 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

21,306 (twenty-one thousand three hundred six) is an even 5-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 53 × 67. Its proper divisors sum to 22,758, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x533A.

Abundant Number Arithmetic Number Cube-Free Evil Number Recamán's Sequence Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
5
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
15 bits
Reversed
60,312
Recamán's sequence
a(41,227) = 21,306
Square (n²)
453,945,636
Cube (n³)
9,671,765,720,616
Divisor count
16
σ(n) — sum of divisors
44,064
φ(n) — Euler's totient
6,864
Sum of prime factors
125

Primality

Prime factorization: 2 × 3 × 53 × 67

Nearest primes: 21,283 (−23) · 21,313 (+7)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 6 · 53 · 67 · 106 · 134 · 159 · 201 · 318 · 402 · 3551 · 7102 · 10653 (half) · 21306
Aliquot sum (sum of proper divisors): 22,758
Factor pairs (a × b = 21,306)
1 × 21306
2 × 10653
3 × 7102
6 × 3551
53 × 402
67 × 318
106 × 201
134 × 159
First multiples
21,306 · 42,612 (double) · 63,918 · 85,224 · 106,530 · 127,836 · 149,142 · 170,448 · 191,754 · 213,060

Sums & aliquot sequence

As consecutive integers: 7,101 + 7,102 + 7,103 5,325 + 5,326 + 5,327 + 5,328 1,770 + 1,771 + … + 1,781 376 + 377 + … + 428
Aliquot sequence: 21,306 22,758 22,770 44,622 56,154 75,174 101,082 113,190 232,410 338,982 450,354 470,094 490,674 509,838 680,562 844,764 1,314,372 — unresolved within range

Continued fraction of √n

√21,306 = [145; (1, 28, 5, 11, 2, 11, 5, 28, 1, 290)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words
twenty-one thousand three hundred six
Ordinal
21306th
Binary
101001100111010
Octal
51472
Hexadecimal
0x533A
Base64
Uzo=
One's complement
44,229 (16-bit)
Scientific notation
2.1306 × 10⁴
As a duration
21,306 s = 5 hours, 55 minutes, 6 seconds
In other bases
ternary (3) 1002020010
quaternary (4) 11030322
quinary (5) 1140211
senary (6) 242350
septenary (7) 116055
nonary (9) 32203
undecimal (11) 1500a
duodecimal (12) 103b6
tridecimal (13) 990c
tetradecimal (14) 7a9c
pentadecimal (15) 64a6

As an angle

21,306° = 59 × 360° + 66°
66° ≈ 1.152 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓆼𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵κατϛʹ
Mayan (base 20)
𝋢·𝋭·𝋥·𝋦
Chinese
二萬一千三百零六
Chinese (financial)
貳萬壹仟參佰零陸
In other modern scripts
Eastern Arabic ٢١٣٠٦ Devanagari २१३०६ Bengali ২১৩০৬ Tamil ௨௧௩௦௬ Thai ๒๑๓๐๖ Tibetan ༢༡༣༠༦ Khmer ២១៣០៦ Lao ໒໑໓໐໖ Burmese ၂၁၃၀၆

Digit at this position in famous constants

π — Pi (π)
Digit 21,306 = 5
e — Euler's number (e)
Digit 21,306 = 1
φ — Golden ratio (φ)
Digit 21,306 = 4
√2 — Pythagoras's (√2)
Digit 21,306 = 7
ln 2 — Natural log of 2
Digit 21,306 = 5
γ — Euler-Mascheroni (γ)
Digit 21,306 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 21306, here are decompositions:

  • 23 + 21283 = 21306
  • 29 + 21277 = 21306
  • 37 + 21269 = 21306
  • 59 + 21247 = 21306
  • 79 + 21227 = 21306
  • 113 + 21193 = 21306
  • 127 + 21179 = 21306
  • 137 + 21169 = 21306

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-533A
U+533A
Other letter (Lo)

UTF-8 encoding: E5 8C BA (3 bytes).

Hex color
#00533A
RGB(0, 83, 58)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.83.58.

Address
0.0.83.58
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.83.58

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Position in π

The digit sequence 21306 first appears in π at position 44,856 of the decimal expansion (the 44,856ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.