Live analysis

6,820

6,820 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.).

6,820 (six thousand eight hundred twenty) is an even 4-digit number. It is a composite number with 24 divisors, and factors as 2² × 5 × 11 × 31. Its proper divisors sum to 9,308, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1AA4.

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

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

6,808 6,809 6,810 6,811 6,812 6,813 6,814 6,815 6,816 6,817 6,818 6,819 6,820 6,821 6,822 6,823 6,824 6,825 6,826 6,827 6,828 6,829 6,830 6,831 6,832

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 16
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 13 bits
Reversed: 286
Recamán's sequence: a(26,704) = 6,820
Square (n²): 46,512,400
Cube (n³): 317,214,568,000
Divisor count: 24
σ(n) — sum of divisors: 16,128
φ(n) — Euler's totient: 2,400
Sum of prime factors: 51

Primality

Prime factorization: 2 ² × 5 × 11 × 31

Nearest primes: 6,803 (−17) · 6,823 (+3)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 5 · 10 · 11 · 20 · 22 · 31 · 44 · 55 · 62 · 110 · 124 · 155 · 220 · 310 · 341 · 620 · 682 · 1364 · 1705 · 3410 (half) · 6820

Aliquot sum (sum of proper divisors): 9,308

Factor pairs (a × b = 6,820)

1 × 6820

2 × 3410

4 × 1705

5 × 1364

10 × 682

11 × 620

20 × 341

22 × 310

31 × 220

44 × 155

55 × 124

62 × 110

First multiples

6,820 · 13,640 (double) · 20,460 · 27,280 · 34,100 · 40,920 · 47,740 · 54,560 · 61,380 · 68,200

Sums & aliquot sequence

As consecutive integers: 1,362 + 1,363 + 1,364 + 1,365 + 1,366 849 + 850 + … + 856 615 + 616 + … + 625 205 + 206 + … + 235

Aliquot sequence: 6,820 → 9,308 → 8,332 → 6,256 → 7,136 → 6,976 → 6,994 → 4,346 → 2,458 → 1,232 → 1,744 → 1,666 → 1,412 → 1,066 → 698 → 352 → 404 — unresolved within range

Continued fraction of √n

√6,820 = [82; (1, 1, 2, 1, 1, 164)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words: six thousand eight hundred twenty
Ordinal: 6820th
Binary: 1101010100100
Octal: 15244
Hexadecimal: 0x1AA4
Base64: GqQ=
One's complement: 58,715 (16-bit)
Scientific notation: 6.82 × 10³
As a duration: 6,820 s = 1 hour, 53 minutes, 40 seconds

In other bases

ternary (3) 100100121

quaternary (4) 1222210

quinary (5) 204240

senary (6) 51324

septenary (7) 25612

nonary (9) 10317

undecimal (11) 5140

duodecimal (12) 3b44

tridecimal (13) 3148

tetradecimal (14) 26b2

pentadecimal (15) 204a

As an angle

6,820° = 18 × 360° + 340°

340° ≈ 5.934 rad

Compass bearing: NNW (north-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian): ͵ϛωκʹ
Mayan (base 20): 𝋱·𝋡·𝋠
Chinese: 六千八百二十
Chinese (financial): 陸仟捌佰貳拾

In other modern scripts

Eastern Arabic ٦٨٢٠ Devanagari ६८२० Bengali ৬৮২০ Tamil ௬௮௨௦ Thai ๖๘๒๐ Tibetan ༦༨༢༠ Khmer ៦៨២០ Lao ໖໘໒໐ Burmese ၆၈၂၀

Digit at this position in famous constants

π — Pi (π): Digit 6,820 = 7
e — Euler's number (e): Digit 6,820 = 9
φ — Golden ratio (φ): Digit 6,820 = 9
√2 — Pythagoras's (√2): Digit 6,820 = 3
ln 2 — Natural log of 2: Digit 6,820 = 8
γ — Euler-Mascheroni (γ): Digit 6,820 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 6820, here are decompositions:

17 + 6803 = 6820
29 + 6791 = 6820
41 + 6779 = 6820
59 + 6761 = 6820
83 + 6737 = 6820
101 + 6719 = 6820
131 + 6689 = 6820
167 + 6653 = 6820

Showing the first eight; more decompositions exist.

Unicode codepoint

᪤

Tai Tham Sign Hoy

U+1AA4

Other punctuation (Po)

UTF-8 encoding: E1 AA A4 (3 bytes).

Lookup U+1AA4 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#001AA4

RGB(0, 26, 164)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.26.164.

Address: 0.0.26.164
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.26.164

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

Musical pitch

Heard as a frequency, 6,820 Hz is closest to:

Concert pitch (A4 = 440 Hz): G♯8 (6644.9 Hz, +45¢ — about midway to A8)
Scientific pitch (C4 = 256 Hz): A8 (6888.6 Hz, -17¢)
Baroque pitch (A4 = 415 Hz): A8 (6640 Hz, +46¢ — about midway to A♯8)

Position in π

The digit sequence 6820 first appears in π at position 2,096 of the decimal expansion (the 2,096ordinal-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.

Look up 6820 on Pi Search ↗