Live analysis

5,840

5,840 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.).

5,840 (five thousand eight hundred forty) is an even 4-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 5 × 73. Its proper divisors sum to 7,924, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x16D0.

Abundant Number Evil Number Practical Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

5,828 5,829 5,830 5,831 5,832 5,833 5,834 5,835 5,836 5,837 5,838 5,839 5,840 5,841 5,842 5,843 5,844 5,845 5,846 5,847 5,848 5,849 5,850 5,851 5,852

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 17
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 13 bits
Reversed: 485
Recamán's sequence: a(13,083) = 5,840
Square (n²): 34,105,600
Cube (n³): 199,176,704,000
Divisor count: 20
σ(n) — sum of divisors: 13,764
φ(n) — Euler's totient: 2,304
Sum of prime factors: 86

Primality

Prime factorization: 2 ⁴ × 5 × 73

Nearest primes: 5,839 (−1) · 5,843 (+3)

Divisors & multiples

All divisors (20)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 40 · 73 · 80 · 146 · 292 · 365 · 584 · 730 · 1168 · 1460 · 2920 (half) · 5840

Aliquot sum (sum of proper divisors): 7,924

Factor pairs (a × b = 5,840)

1 × 5840

2 × 2920

4 × 1460

5 × 1168

8 × 730

10 × 584

16 × 365

20 × 292

40 × 146

73 × 80

First multiples

5,840 · 11,680 (double) · 17,520 · 23,360 · 29,200 · 35,040 · 40,880 · 46,720 · 52,560 · 58,400

Sums & aliquot sequence

As a sum of two squares: 8² + 76² = 52² + 56²

As a sum of two cubes: 2³ + 18³

As consecutive integers: 1,166 + 1,167 + 1,168 + 1,169 + 1,170 167 + 168 + … + 198 44 + 45 + … + 116

Aliquot sequence: 5,840 → 7,924 → 7,980 → 18,900 → 50,540 → 77,476 → 77,532 → 148,260 → 327,516 → 563,052 → 938,644 → 972,566 → 710,890 → 568,730 → 455,002 → 227,504 → 222,616 — unresolved within range

Continued fraction of √n

√5,840 = [76; (2, 2, 1, 1, 1, 1, 1, 3, 9, 3, 1, 1, 1, 1, 1, 2, 2, 152)]

Period length 18 — the block in parentheses repeats forever.

Representations

In words: five thousand eight hundred forty
Ordinal: 5840th
Binary: 1011011010000
Octal: 13320
Hexadecimal: 0x16D0
Base64: FtA=
One's complement: 59,695 (16-bit)
Scientific notation: 5.84 × 10³
As a duration: 5,840 s = 1 hour, 37 minutes, 20 seconds

In other bases

ternary (3) 22000022

quaternary (4) 1123100

quinary (5) 141330

senary (6) 43012

septenary (7) 23012

nonary (9) 8008

undecimal (11) 442a

duodecimal (12) 3468

tridecimal (13) 2873

tetradecimal (14) 21b2

pentadecimal (15) 1ae5

Palindromic in base 3, base 9

As an angle

5,840° = 16 × 360° + 80°

80° ≈ 1.396 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian): ͵εωμʹ
Mayan (base 20): 𝋮·𝋬·𝋠
Chinese: 五千八百四十
Chinese (financial): 伍仟捌佰肆拾

In other modern scripts

Eastern Arabic ٥٨٤٠ Devanagari ५८४० Bengali ৫৮৪০ Tamil ௫௮௪௦ Thai ๕๘๔๐ Tibetan ༥༨༤༠ Khmer ៥៨៤០ Lao ໕໘໔໐ Burmese ၅၈၄၀

Digit at this position in famous constants

π — Pi (π): Digit 5,840 = 2
e — Euler's number (e): Digit 5,840 = 3
φ — Golden ratio (φ): Digit 5,840 = 5
√2 — Pythagoras's (√2): Digit 5,840 = 2
ln 2 — Natural log of 2: Digit 5,840 = 6
γ — Euler-Mascheroni (γ): Digit 5,840 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 5840, here are decompositions:

13 + 5827 = 5840
19 + 5821 = 5840
61 + 5779 = 5840
97 + 5743 = 5840
103 + 5737 = 5840
139 + 5701 = 5840
151 + 5689 = 5840
157 + 5683 = 5840

Showing the first eight; more decompositions exist.

Unicode codepoint

ᛐ

Runic Letter Short-Twig-Tyr T

U+16D0

Other letter (Lo)

UTF-8 encoding: E1 9B 90 (3 bytes).

Lookup U+16D0 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0016D0

RGB(0, 22, 208)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.22.208.

Address: 0.0.22.208
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.22.208

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

Musical pitch

Heard as a frequency, 5,840 Hz is closest to:

Concert pitch (A4 = 440 Hz): F♯8 (5919.9 Hz, -24¢)
Scientific pitch (C4 = 256 Hz): F♯8 (5792.6 Hz, +14¢)
Baroque pitch (A4 = 415 Hz): G8 (5915.6 Hz, -22¢)

Position in π

The digit sequence 5840 first appears in π at position 12,337 of the decimal expansion (the 12,337ordinal-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 5840 on Pi Search ↗