number.wiki
Live analysis

5,005

5,005 is a composite number, odd.

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.).

5,005 (five thousand five) is an odd 4-digit number. It is a composite number with 16 divisors, and factors as 5 × 7 × 11 × 13. Its digits read the same forwards and backwards, so it is a palindromic number. Written other ways, in hexadecimal, 0x138D.

Arithmetic Number Cube-Free Deficient Number Gapful Number Odious Number Palindrome Pernicious Number Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Odd
Digit count
4
Digit sum
10
Digit product
0
Digital root
1
Palindrome
Yes
Bit width
13 bits
Recamán's sequence
a(97,586) = 5,005
Square (n²)
25,050,025
Cube (n³)
125,375,375,125
Divisor count
16
σ(n) — sum of divisors
8,064
φ(n) — Euler's totient
2,880
Sum of prime factors
36

Primality

Prime factorization: 5 × 7 × 11 × 13

Nearest primes: 5,003 (−2) · 5,009 (+4)

Divisors & multiples

All divisors (16)
1 · 5 · 7 · 11 · 13 · 35 · 55 · 65 · 77 · 91 · 143 · 385 · 455 · 715 · 1001 · 5005
Aliquot sum (sum of proper divisors): 3,059
Factor pairs (a × b = 5,005)
1 × 5005
5 × 1001
7 × 715
11 × 455
13 × 385
35 × 143
55 × 91
65 × 77
First multiples
5,005 · 10,010 (double) · 15,015 · 20,020 · 25,025 · 30,030 · 35,035 · 40,040 · 45,045 · 50,050

Sums & aliquot sequence

As consecutive integers: 2,502 + 2,503 999 + 1,000 + 1,001 + 1,002 + 1,003 712 + 713 + … + 718 496 + 497 + … + 505
Aliquot sequence: 5,005 3,059 781 83 1 0 — terminates at zero

Continued fraction of √n

√5,005 = [70; (1, 2, 1, 14, 1, 34, 2, 3, 2, 3, 2, 34, 1, 14, 1, 2, 1, 140)]

Period length 18 — the block in parentheses repeats forever.

Representations

In words
five thousand five
Ordinal
5005th
Binary
1001110001101
Octal
11615
Hexadecimal
0x138D
Base64
E40=
One's complement
60,530 (16-bit)
Scientific notation
5.005 × 10³
As a duration
5,005 s = 1 hour, 23 minutes, 25 seconds
In other bases
ternary (3) 20212101
quaternary (4) 1032031
quinary (5) 130010
senary (6) 35101
septenary (7) 20410
nonary (9) 6771
undecimal (11) 3840
duodecimal (12) 2a91
tridecimal (13) 2380
tetradecimal (14) 1b77
pentadecimal (15) 173a

As an angle

5,005° = 13 × 360° + 325°
325° ≈ 5.672 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵εεʹ
Mayan (base 20)
𝋬·𝋪·𝋥
Chinese
五千零五
Chinese (financial)
伍仟零伍
In other modern scripts
Eastern Arabic ٥٠٠٥ Devanagari ५००५ Bengali ৫০০৫ Tamil ௫௦௦௫ Thai ๕๐๐๕ Tibetan ༥༠༠༥ Khmer ៥០០៥ Lao ໕໐໐໕ Burmese ၅၀၀၅

Digit at this position in famous constants

π — Pi (π)
Digit 5,005 = 5
e — Euler's number (e)
Digit 5,005 = 1
φ — Golden ratio (φ)
Digit 5,005 = 6
√2 — Pythagoras's (√2)
Digit 5,005 = 9
ln 2 — Natural log of 2
Digit 5,005 = 7
γ — Euler-Mascheroni (γ)
Digit 5,005 = 3

Also seen as

Unicode codepoint
Ethiopic Syllable Pwi
U+138D
Other letter (Lo)

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

Hex color
#00138D
RGB(0, 19, 141)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.19.141.

Address
0.0.19.141
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.19.141

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

Musical pitch

Heard as a frequency, 5,005 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): D♯8 (4978 Hz, +9¢)
  • Scientific pitch (C4 = 256 Hz): D♯8 (4871 Hz, +47¢ — about midway to E8)
  • Baroque pitch (A4 = 415 Hz): E8 (4974.4 Hz, +11¢)
Position in π

The digit sequence 5005 first appears in π at position 6,238 of the decimal expansion (the 6,238ordinal-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.

Related reading