Live analysis

5,820

5,820 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.).

5,820 (five thousand eight hundred twenty) is an even 4-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 5 × 97. Its proper divisors sum to 10,644, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x16BC.

Abundant Number Arithmetic Number Cube-Free Evil Number Harshad / Niven Practical Number Recamán's Sequence Self Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

5,808 5,809 5,810 5,811 5,812 5,813 5,814 5,815 5,816 5,817 5,818 5,819 5,820 5,821 5,822 5,823 5,824 5,825 5,826 5,827 5,828 5,829 5,830 5,831 5,832

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 13 bits
Reversed: 285
Recamán's sequence: a(13,123) = 5,820
Square (n²): 33,872,400
Cube (n³): 197,137,368,000
Divisor count: 24
σ(n) — sum of divisors: 16,464
φ(n) — Euler's totient: 1,536
Sum of prime factors: 109

Primality

Prime factorization: 2 ² × 3 × 5 × 97

Nearest primes: 5,813 (−7) · 5,821 (+1)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 5 · 6 · 10 · 12 · 15 · 20 · 30 · 60 · 97 · 194 · 291 · 388 · 485 · 582 · 970 · 1164 · 1455 · 1940 · 2910 (half) · 5820

Aliquot sum (sum of proper divisors): 10,644

Factor pairs (a × b = 5,820)

1 × 5820

2 × 2910

3 × 1940

4 × 1455

5 × 1164

6 × 970

10 × 582

12 × 485

15 × 388

20 × 291

30 × 194

60 × 97

First multiples

5,820 · 11,640 (double) · 17,460 · 23,280 · 29,100 · 34,920 · 40,740 · 46,560 · 52,380 · 58,200

Sums & aliquot sequence

As consecutive integers: 1,939 + 1,940 + 1,941 1,162 + 1,163 + 1,164 + 1,165 + 1,166 724 + 725 + … + 731 381 + 382 + … + 395

Aliquot sequence: 5,820 → 10,644 → 14,220 → 29,460 → 53,196 → 97,332 → 129,804 → 184,356 → 298,434 → 298,446 → 298,458 → 364,902 → 377,610 → 553,782 → 553,794 → 602,238 → 881,538 — unresolved within range

Continued fraction of √n

√5,820 = [76; (3, 2, 5, 1, 13, 38, 13, 1, 5, 2, 3, 152)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words: five thousand eight hundred twenty
Ordinal: 5820th
Binary: 1011010111100
Octal: 13274
Hexadecimal: 0x16BC
Base64: Frw=
One's complement: 59,715 (16-bit)
Scientific notation: 5.82 × 10³
As a duration: 5,820 s = 1 hour, 37 minutes

In other bases

ternary (3) 21222120

quaternary (4) 1122330

quinary (5) 141240

senary (6) 42540

septenary (7) 22653

nonary (9) 7876

undecimal (11) 4411

duodecimal (12) 3450

tridecimal (13) 2859

tetradecimal (14) 219a

pentadecimal (15) 1ad0

As an angle

5,820° = 16 × 360° + 60°

60° ≈ 1.047 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian): ͵εωκʹ
Mayan (base 20): 𝋮·𝋫·𝋠
Chinese: 五千八百二十
Chinese (financial): 伍仟捌佰貳拾

In other modern scripts

Eastern Arabic ٥٨٢٠ Devanagari ५८२० Bengali ৫৮২০ Tamil ௫௮௨௦ Thai ๕๘๒๐ Tibetan ༥༨༢༠ Khmer ៥៨២០ Lao ໕໘໒໐ Burmese ၅၈၂၀

Digit at this position in famous constants

π — Pi (π): Digit 5,820 = 9
e — Euler's number (e): Digit 5,820 = 4
φ — Golden ratio (φ): Digit 5,820 = 8
√2 — Pythagoras's (√2): Digit 5,820 = 9
ln 2 — Natural log of 2: Digit 5,820 = 2
γ — Euler-Mascheroni (γ): Digit 5,820 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 5820, here are decompositions:

7 + 5813 = 5820
13 + 5807 = 5820
19 + 5801 = 5820
29 + 5791 = 5820
37 + 5783 = 5820
41 + 5779 = 5820
71 + 5749 = 5820
79 + 5741 = 5820

Showing the first eight; more decompositions exist.

Unicode codepoint

ᚼ

Runic Letter Long-Branch-Hagall H

U+16BC

Other letter (Lo)

UTF-8 encoding: E1 9A BC (3 bytes).

Lookup U+16BC on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0016BC

RGB(0, 22, 188)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.22.188.

Address: 0.0.22.188
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.22.188

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

Musical pitch

Heard as a frequency, 5,820 Hz is closest to:

Concert pitch (A4 = 440 Hz): F♯8 (5919.9 Hz, -29¢)
Scientific pitch (C4 = 256 Hz): F♯8 (5792.6 Hz, +8¢)
Baroque pitch (A4 = 415 Hz): G8 (5915.6 Hz, -28¢)

Position in π

The digit sequence 5820 first appears in π at position 51 of the decimal expansion (the 51ordinal-suffix:st 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 5820 on Pi Search ↗