Live analysis

5,006

5,006 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.).

5,006 (five thousand six) is an even 4-digit number. It is a composite number with 4 divisors, and factors as 2 × 2,503. Written other ways, in hexadecimal, 0x138E.

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

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

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 5,013 5,014 5,015 5,016 5,017 5,018

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 11
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 13 bits
Reversed: 6,005
Recamán's sequence: a(97,584) = 5,006
Square (n²): 25,060,036
Cube (n³): 125,450,540,216
Divisor count: 4
σ(n) — sum of divisors: 7,512
φ(n) — Euler's totient: 2,502
Sum of prime factors: 2,505

Primality

Prime factorization: 2 × 2503

Nearest primes: 5,003 (−3) · 5,009 (+3)

Divisors & multiples

All divisors (4)

1 · 2 · 2503 (half) · 5006

Aliquot sum (sum of proper divisors): 2,506

Factor pairs (a × b = 5,006)

1 × 5006

2 × 2503

First multiples

5,006 · 10,012 (double) · 15,018 · 20,024 · 25,030 · 30,036 · 35,042 · 40,048 · 45,054 · 50,060

Sums & aliquot sequence

As consecutive integers: 1,250 + 1,251 + 1,252 + 1,253

Aliquot sequence: 5,006 → 2,506 → 1,814 → 910 → 1,106 → 814 → 554 → 280 → 440 → 640 → 890 → 730 → 602 → 454 → 230 → 202 → 104 — unresolved within range

Continued fraction of √n

√5,006 = [70; (1, 3, 19, 1, 27, 2, 1, 5, 1, 3, 5, 5, 2, 7, 1, 6, 1, 1, 3, 3, 2, 3, 1, 2, …)]

Representations

In words: five thousand six
Ordinal: 5006th
Binary: 1001110001110
Octal: 11616
Hexadecimal: 0x138E
Base64: E44=
One's complement: 60,529 (16-bit)
Scientific notation: 5.006 × 10³
As a duration: 5,006 s = 1 hour, 23 minutes, 26 seconds

In other bases

ternary (3) 20212102

quaternary (4) 1032032

quinary (5) 130011

senary (6) 35102

septenary (7) 20411

nonary (9) 6772

undecimal (11) 3841

duodecimal (12) 2a92

tridecimal (13) 2381

tetradecimal (14) 1b78

pentadecimal (15) 173b

As an angle

5,006° = 13 × 360° + 326°

326° ≈ 5.69 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓆼𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵εϛʹ
Mayan (base 20): 𝋬·𝋪·𝋦
Chinese: 五千零六
Chinese (financial): 伍仟零陸

In other modern scripts

Eastern Arabic ٥٠٠٦ Devanagari ५००६ Bengali ৫০০৬ Tamil ௫௦௦௬ Thai ๕๐๐๖ Tibetan ༥༠༠༦ Khmer ៥០០៦ Lao ໕໐໐໖ Burmese ၅၀၀၆

Digit at this position in famous constants

π — Pi (π): Digit 5,006 = 1
e — Euler's number (e): Digit 5,006 = 5
φ — Golden ratio (φ): Digit 5,006 = 1
√2 — Pythagoras's (√2): Digit 5,006 = 0
ln 2 — Natural log of 2: Digit 5,006 = 7
γ — Euler-Mascheroni (γ): Digit 5,006 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 5006, here are decompositions:

3 + 5003 = 5006
7 + 4999 = 5006
13 + 4993 = 5006
19 + 4987 = 5006
37 + 4969 = 5006
73 + 4933 = 5006
97 + 4909 = 5006
103 + 4903 = 5006

Showing the first eight; more decompositions exist.

Unicode codepoint

ᎎ

Ethiopic Syllable Pwee

U+138E

Other letter (Lo)

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

Lookup U+138E on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#00138E

RGB(0, 19, 142)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.19.142.

Address: 0.0.19.142
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.19.142

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

Musical pitch

Heard as a frequency, 5,006 Hz is closest to:

Concert pitch (A4 = 440 Hz): D♯8 (4978 Hz, +10¢)
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 5006 first appears in π at position 16,921 of the decimal expansion (the 16,921ordinal-suffix:st 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 5006 on Pi Search ↗