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5,876

5,876 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.).

5,876 (five thousand eight hundred seventy-six) is an even 4-digit number. It is a composite number with 12 divisors, and factors as 2² × 13 × 113. Written other ways, in hexadecimal, 0x16F4.

Arithmetic Number Cube-Free Deficient Number Evil Number Harshad / Niven Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
4
Digit sum
26
Digit product
1,680
Digital root
8
Palindrome
No
Bit width
13 bits
Reversed
6,785
Recamán's sequence
a(13,011) = 5,876
Square (n²)
34,527,376
Cube (n³)
202,882,861,376
Divisor count
12
σ(n) — sum of divisors
11,172
φ(n) — Euler's totient
2,688
Sum of prime factors
130

Primality

Prime factorization: 2 2 × 13 × 113

Nearest primes: 5,869 (−7) · 5,879 (+3)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 13 · 26 · 52 · 113 · 226 · 452 · 1469 · 2938 (half) · 5876
Aliquot sum (sum of proper divisors): 5,296
Factor pairs (a × b = 5,876)
1 × 5876
2 × 2938
4 × 1469
13 × 452
26 × 226
52 × 113
First multiples
5,876 · 11,752 (double) · 17,628 · 23,504 · 29,380 · 35,256 · 41,132 · 47,008 · 52,884 · 58,760

Sums & aliquot sequence

As a sum of two squares: 10² + 76² = 20² + 74²
As consecutive integers: 731 + 732 + … + 738 446 + 447 + … + 458 5 + 6 + … + 108
Aliquot sequence: 5,876 5,296 4,996 3,754 1,880 2,440 3,140 3,496 3,704 3,256 3,584 4,600 6,560 9,316 8,072 7,078 3,542 — unresolved within range

Continued fraction of √n

√5,876 = [76; (1, 1, 1, 8, 1, 10, 1, 8, 1, 1, 1, 152)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
five thousand eight hundred seventy-six
Ordinal
5876th
Binary
1011011110100
Octal
13364
Hexadecimal
0x16F4
Base64
FvQ=
One's complement
59,659 (16-bit)
Scientific notation
5.876 × 10³
As a duration
5,876 s = 1 hour, 37 minutes, 56 seconds
In other bases
ternary (3) 22001122
quaternary (4) 1123310
quinary (5) 142001
senary (6) 43112
septenary (7) 23063
nonary (9) 8048
undecimal (11) 4462
duodecimal (12) 3498
tridecimal (13) 28a0
tetradecimal (14) 21da
pentadecimal (15) 1b1b

As an angle

5,876° = 16 × 360° + 116°
116° ≈ 2.025 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵εωοϛʹ
Mayan (base 20)
𝋮·𝋭·𝋰
Chinese
五千八百七十六
Chinese (financial)
伍仟捌佰柒拾陸
In other modern scripts
Eastern Arabic ٥٨٧٦ Devanagari ५८७६ Bengali ৫৮৭৬ Tamil ௫௮௭௬ Thai ๕๘๗๖ Tibetan ༥༨༧༦ Khmer ៥៨៧៦ Lao ໕໘໗໖ Burmese ၅၈၇၆

Digit at this position in famous constants

π — Pi (π)
Digit 5,876 = 6
e — Euler's number (e)
Digit 5,876 = 3
φ — Golden ratio (φ)
Digit 5,876 = 3
√2 — Pythagoras's (√2)
Digit 5,876 = 9
ln 2 — Natural log of 2
Digit 5,876 = 3
γ — Euler-Mascheroni (γ)
Digit 5,876 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 5876, here are decompositions:

  • 7 + 5869 = 5876
  • 19 + 5857 = 5876
  • 37 + 5839 = 5876
  • 97 + 5779 = 5876
  • 127 + 5749 = 5876
  • 139 + 5737 = 5876
  • 193 + 5683 = 5876
  • 223 + 5653 = 5876

Showing the first eight; more decompositions exist.

Unicode codepoint
Runic Letter Franks Casket Os
U+16F4
Other letter (Lo)

UTF-8 encoding: E1 9B B4 (3 bytes).

Hex color
#0016F4
RGB(0, 22, 244)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.22.244.

Address
0.0.22.244
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.22.244

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

Musical pitch

Heard as a frequency, 5,876 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): F♯8 (5919.9 Hz, -13¢)
  • Scientific pitch (C4 = 256 Hz): F♯8 (5792.6 Hz, +25¢)
  • Baroque pitch (A4 = 415 Hz): G8 (5915.6 Hz, -12¢)
Position in π

The digit sequence 5876 first appears in π at position 1,363 of the decimal expansion (the 1,363ordinal-suffix:rd 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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.