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5,000

5,000 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.).
Abundant Number Achilles Number Gapful Number Harshad / Niven Odious Number Pernicious Number Powerful Number Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
4
Digit sum
5
Digit product
0
Digital root
5
Palindrome
No
Bit width
13 bits
Reversed
5
Recamán's sequence
a(97,596) = 5,000
Square (n²)
25,000,000
Cube (n³)
125,000,000,000
Divisor count
20
σ(n) — sum of divisors
11,715
φ(n) — Euler's totient
2,000
Sum of prime factors
26

Primality

Prime factorization: 2 3 × 5 4

Nearest primes: 4,999 (−1) · 5,003 (+3)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 5 · 8 · 10 · 20 · 25 · 40 · 50 · 100 · 125 · 200 · 250 · 500 · 625 · 1000 · 1250 · 2500 (half) · 5000
Aliquot sum (sum of proper divisors): 6,715
Factor pairs (a × b = 5,000)
1 × 5000
2 × 2500
4 × 1250
5 × 1000
8 × 625
10 × 500
20 × 250
25 × 200
40 × 125
50 × 100
First multiples
5,000 · 10,000 (double) · 15,000 · 20,000 · 25,000 · 30,000 · 35,000 · 40,000 · 45,000 · 50,000

Sums & aliquot sequence

As a sum of two squares: 10² + 70² = 34² + 62² = 50² + 50²
As consecutive integers: 998 + 999 + 1,000 + 1,001 + 1,002 305 + 306 + … + 320 188 + 189 + … + 212 23 + 24 + … + 102
Aliquot sequence: 5,000 6,715 1,925 1,051 1 0 — terminates at zero

Representations

In words
five thousand
Ordinal
5000th
Binary
1001110001000
Octal
11610
Hexadecimal
0x1388
Base64
E4g=
One's complement
60,535 (16-bit)
In other bases
ternary (3) 20212012
quaternary (4) 1032020
quinary (5) 130000
senary (6) 35052
septenary (7) 20402
nonary (9) 6765
undecimal (11) 3836
duodecimal (12) 2a88
tridecimal (13) 2378
tetradecimal (14) 1b72
pentadecimal (15) 1735

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼
Greek (Milesian)
͵ε
Mayan (base 20)
𝋬·𝋪·𝋠
Chinese
五千
Chinese (financial)
伍仟
In other modern scripts
Eastern Arabic ٥٠٠٠ Devanagari ५००० Bengali ৫০০০ Tamil ௫௦௦௦ Thai ๕๐๐๐ Tibetan ༥༠༠༠ Khmer ៥០០០ Lao ໕໐໐໐ Burmese ၅၀၀၀

Digit at this position in famous constants

π — Pi (π)
Digit 5,000 = 2
e — Euler's number (e)
Digit 5,000 = 6
φ — Golden ratio (φ)
Digit 5,000 = 5
√2 — Pythagoras's (√2)
Digit 5,000 = 5
ln 2 — Natural log of 2
Digit 5,000 = 2
γ — Euler-Mascheroni (γ)
Digit 5,000 = 7

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 5000, here are decompositions:

  • 7 + 4993 = 5000
  • 13 + 4987 = 5000
  • 31 + 4969 = 5000
  • 43 + 4957 = 5000
  • 67 + 4933 = 5000
  • 97 + 4903 = 5000
  • 139 + 4861 = 5000
  • 199 + 4801 = 5000

Showing the first eight; more decompositions exist.

Unicode codepoint
Ethiopic Syllable Sebatbeit Fwa
U+1388
Other letter (Lo)

UTF-8 encoding: E1 8E 88 (3 bytes).

Hex color
#001388
RGB(0, 19, 136)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.19.136.

Address
0.0.19.136
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.19.136

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

Position in π

The digit sequence 5000 first appears in π at position 13,389 of the decimal expansion (the 13,389ordinal-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.