Live analysis

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.).

5,000 (five thousand) is an even 4-digit number. It is a composite number with 20 divisors, and factors as 2³ × 5⁴. Its proper divisors sum to 6,715, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1388.

Abundant Number Achilles Number Gapful Number Harshad / Niven Odious Number Pernicious Number Powerful Number Practical Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

4,988 4,989 4,990 4,991 4,992 4,993 4,994 4,995 4,996 4,997 4,998 4,999 5,000 5,001 5,002 5,003 5,004 5,005 5,006 5,007 5,008 5,009 5,010 5,011 5,012

less more

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

Continued fraction of √n

√5,000 = [70; (1, 2, 2, 5, 4, 2, 1, 1, 1, 5, 35, 5, 1, 1, 1, 2, 4, 5, 2, 2, 1, 140)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words: five thousand
Ordinal: 5000th
Binary: 1001110001000
Octal: 11610
Hexadecimal: 0x1388
Base64: E4g=
One's complement: 60,535 (16-bit)
Scientific notation: 5 × 10³
As a duration: 5,000 s = 1 hour, 23 minutes, 20 seconds

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

Palindromic in base 7

As an angle

5,000° = 13 × 360° + 320°

320° ≈ 5.585 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

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

ᎈ

Ethiopic Syllable Sebatbeit Fwa

U+1388

Other letter (Lo)

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

Lookup U+1388 on Compart ↗ Lookup on FileFormat.Info ↗

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.

Musical pitch

Heard as a frequency, 5,000 Hz is closest to:

Concert pitch (A4 = 440 Hz): D♯8 (4978 Hz, +8¢)
Scientific pitch (C4 = 256 Hz): D♯8 (4871 Hz, +45¢ — about midway to E8)
Baroque pitch (A4 = 415 Hz): E8 (4974.4 Hz, +9¢)

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.

Look up 5000 on Pi Search ↗