Live analysis

10,005

10,005 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.).

10,005 (ten thousand five) is an odd 5-digit number. It is a composite number with 16 divisors, and factors as 3 × 5 × 23 × 29. Written other ways, in hexadecimal, 0x2715.

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

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

9,993 9,994 9,995 9,996 9,997 9,998 9,999 10,000 10,001 10,002 10,003 10,004 10,005 10,006 10,007 10,008 10,009 10,010 10,011 10,012 10,013 10,014 10,015 10,016 10,017

less more

Properties

Parity: Odd
Digit count: 5
Digit sum: 6
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 14 bits
Reversed: 50,001
Recamán's sequence: a(4,805) = 10,005
Square (n²): 100,100,025
Cube (n³): 1,001,500,750,125
Divisor count: 16
σ(n) — sum of divisors: 17,280
φ(n) — Euler's totient: 4,928
Sum of prime factors: 60

Primality

Prime factorization: 3 × 5 × 23 × 29

Nearest primes: 9,973 (−32) · 10,007 (+2)

Divisors & multiples

All divisors (16)

1 · 3 · 5 · 15 · 23 · 29 · 69 · 87 · 115 · 145 · 345 · 435 · 667 · 2001 · 3335 · 10005

Aliquot sum (sum of proper divisors): 7,275

Factor pairs (a × b = 10,005)

1 × 10005

3 × 3335

5 × 2001

15 × 667

23 × 435

29 × 345

69 × 145

87 × 115

First multiples

10,005 · 20,010 (double) · 30,015 · 40,020 · 50,025 · 60,030 · 70,035 · 80,040 · 90,045 · 100,050

Sums & aliquot sequence

As consecutive integers: 5,002 + 5,003 3,334 + 3,335 + 3,336 1,999 + 2,000 + 2,001 + 2,002 + 2,003 1,665 + 1,666 + 1,667 + 1,668 + 1,669 + 1,670

Aliquot sequence: 10,005 → 7,275 → 4,877 → 1 → 0 — terminates at zero

Continued fraction of √n

√10,005 = [100; (40, 200)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: ten thousand five
Ordinal: 10005th
Binary: 10011100010101
Octal: 23425
Hexadecimal: 0x2715
Base64: JxU=
One's complement: 55,530 (16-bit)
Scientific notation: 1.0005 × 10⁴
As a duration: 10,005 s = 2 hours, 46 minutes, 45 seconds

In other bases

ternary (3) 111201120

quaternary (4) 2130111

quinary (5) 310010

senary (6) 114153

septenary (7) 41112

nonary (9) 14646

undecimal (11) 7576

duodecimal (12) 5959

tridecimal (13) 4728

tetradecimal (14) 3909

pentadecimal (15) 2e70

As an angle

10,005° = 27 × 360° + 285°

285° ≈ 4.974 rad

Compass bearing: WNW (west-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓂍𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ιεʹ
Mayan (base 20): 𝋡·𝋥·𝋠·𝋥
Chinese: 一萬零五
Chinese (financial): 壹萬零伍

In other modern scripts

Eastern Arabic ١٠٠٠٥ Devanagari १०००५ Bengali ১০০০৫ Tamil ௧௦௦௦௫ Thai ๑๐๐๐๕ Tibetan ༡༠༠༠༥ Khmer ១០០០៥ Lao ໑໐໐໐໕ Burmese ၁၀၀၀၅

Digit at this position in famous constants

π — Pi (π): Digit 10,005 = 7
e — Euler's number (e): Digit 10,005 = 4
φ — Golden ratio (φ): Digit 10,005 = 3
√2 — Pythagoras's (√2): Digit 10,005 = 8
ln 2 — Natural log of 2: Digit 10,005 = 4
γ — Euler-Mascheroni (γ): Digit 10,005 = 1

Also seen as

Unicode codepoint

Multiplication X

U+2715

Other symbol (So)

UTF-8 encoding: E2 9C 95 (3 bytes).

Lookup U+2715 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#002715

RGB(0, 39, 21)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.39.21.

Address: 0.0.39.21
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.39.21

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

Musical pitch

Heard as a frequency, 10,005 Hz is closest to:

Concert pitch (A4 = 440 Hz): D♯9 (9956.1 Hz, +8¢)
Scientific pitch (C4 = 256 Hz): D♯9 (9742 Hz, +46¢ — about midway to E9)
Baroque pitch (A4 = 415 Hz): E9 (9948.8 Hz, +10¢)

Position in π

The digit sequence 10005 first appears in π at position 62,059 of the decimal expansion (the 62,059ordinal-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 10005 on Pi Search ↗