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21,678

21,678 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.).

21,678 (twenty-one thousand six hundred seventy-eight) is an even 5-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 3,613. Its proper divisors sum to 21,690, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x54AE.

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

Interestingness

Properties

Parity
Even
Digit count
5
Digit sum
24
Digit product
672
Digital root
6
Palindrome
No
Bit width
15 bits
Reversed
87,612
Recamán's sequence
a(40,483) = 21,678
Square (n²)
469,935,684
Cube (n³)
10,187,265,757,752
Divisor count
8
σ(n) — sum of divisors
43,368
φ(n) — Euler's totient
7,224
Sum of prime factors
3,618

Primality

Prime factorization: 2 × 3 × 3613

Nearest primes: 21,673 (−5) · 21,683 (+5)

Divisors & multiples

All divisors (8)
1 · 2 · 3 · 6 · 3613 · 7226 · 10839 (half) · 21678
Aliquot sum (sum of proper divisors): 21,690
Factor pairs (a × b = 21,678)
1 × 21678
2 × 10839
3 × 7226
6 × 3613
First multiples
21,678 · 43,356 (double) · 65,034 · 86,712 · 108,390 · 130,068 · 151,746 · 173,424 · 195,102 · 216,780

Sums & aliquot sequence

As consecutive integers: 7,225 + 7,226 + 7,227 5,418 + 5,419 + 5,420 + 5,421 1,801 + 1,802 + … + 1,812
Aliquot sequence: 21,678 21,690 34,938 42,822 61,338 61,350 91,170 146,106 170,496 334,866 502,350 823,458 847,518 1,205,346 1,205,358 1,801,362 1,855,950 — unresolved within range

Continued fraction of √n

√21,678 = [147; (4, 3, 1, 3, 1, 1, 1, 2, 2, 1, 1, 6, 3, 1, 4, 1, 3, 1, 12, 98, 12, 1, 3, 1, …)]

Period length 40 — the block in parentheses repeats forever.

Representations

In words
twenty-one thousand six hundred seventy-eight
Ordinal
21678th
Binary
101010010101110
Octal
52256
Hexadecimal
0x54AE
Base64
VK4=
One's complement
43,857 (16-bit)
Scientific notation
2.1678 × 10⁴
As a duration
21,678 s = 6 hours, 1 minute, 18 seconds
In other bases
ternary (3) 1002201220
quaternary (4) 11102232
quinary (5) 1143203
senary (6) 244210
septenary (7) 120126
nonary (9) 32656
undecimal (11) 15318
duodecimal (12) 10666
tridecimal (13) 9b37
tetradecimal (14) 7c86
pentadecimal (15) 6653

As an angle

21,678° = 60 × 360° + 78°
78° ≈ 1.361 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹𒁹 𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵καχοηʹ
Mayan (base 20)
𝋢·𝋮·𝋣·𝋲
Chinese
二萬一千六百七十八
Chinese (financial)
貳萬壹仟陸佰柒拾捌
In other modern scripts
Eastern Arabic ٢١٦٧٨ Devanagari २१६७८ Bengali ২১৬৭৮ Tamil ௨௧௬௭௮ Thai ๒๑๖๗๘ Tibetan ༢༡༦༧༨ Khmer ២១៦៧៨ Lao ໒໑໖໗໘ Burmese ၂၁၆၇၈

Digit at this position in famous constants

π — Pi (π)
Digit 21,678 = 9
e — Euler's number (e)
Digit 21,678 = 9
φ — Golden ratio (φ)
Digit 21,678 = 9
√2 — Pythagoras's (√2)
Digit 21,678 = 9
ln 2 — Natural log of 2
Digit 21,678 = 4
γ — Euler-Mascheroni (γ)
Digit 21,678 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 21678, here are decompositions:

  • 5 + 21673 = 21678
  • 17 + 21661 = 21678
  • 29 + 21649 = 21678
  • 31 + 21647 = 21678
  • 61 + 21617 = 21678
  • 67 + 21611 = 21678
  • 79 + 21599 = 21678
  • 89 + 21589 = 21678

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-54Ae
U+54AE
Other letter (Lo)

UTF-8 encoding: E5 92 AE (3 bytes).

Hex color
#0054AE
RGB(0, 84, 174)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.84.174.

Address
0.0.84.174
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.84.174

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

Position in π

The digit sequence 21678 first appears in π at position 53,438 of the decimal expansion (the 53,438ordinal-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°.