Live analysis

12,002

12,002 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.).

12,002 (twelve thousand two) is an even 5-digit number. It is a composite number with 8 divisors, and factors as 2 × 17 × 353. Written other ways, in hexadecimal, 0x2EE2.

Cube-Free Deficient Number Evil Number Recamán's Sequence Sphenic Number Squarefree

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

11,990 11,991 11,992 11,993 11,994 11,995 11,996 11,997 11,998 11,999 12,000 12,001 12,002 12,003 12,004 12,005 12,006 12,007 12,008 12,009 12,010 12,011 12,012 12,013 12,014

less more

Properties

Parity: Even
Digit count: 5
Digit sum: 5
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 14 bits
Reversed: 20,021
Recamán's sequence: a(22,780) = 12,002
Square (n²): 144,048,004
Cube (n³): 1,728,864,144,008
Divisor count: 8
σ(n) — sum of divisors: 19,116
φ(n) — Euler's totient: 5,632
Sum of prime factors: 372

Primality

Prime factorization: 2 × 17 × 353

Nearest primes: 11,987 (−15) · 12,007 (+5)

Divisors & multiples

All divisors (8)

1 · 2 · 17 · 34 · 353 · 706 · 6001 (half) · 12002

Aliquot sum (sum of proper divisors): 7,114

Factor pairs (a × b = 12,002)

1 × 12002

2 × 6001

17 × 706

34 × 353

First multiples

12,002 · 24,004 (double) · 36,006 · 48,008 · 60,010 · 72,012 · 84,014 · 96,016 · 108,018 · 120,020

Sums & aliquot sequence

As a sum of two squares: 11² + 109² = 61² + 91²

As consecutive integers: 2,999 + 3,000 + 3,001 + 3,002 698 + 699 + … + 714 143 + 144 + … + 210

Aliquot sequence: 12,002 → 7,114 → 3,560 → 4,540 → 5,036 → 3,784 → 4,136 → 4,504 → 3,956 → 3,436 → 2,584 → 2,816 → 3,316 → 2,494 → 1,466 → 736 → 776 — unresolved within range

Continued fraction of √n

√12,002 = [109; (1, 1, 4, 6, 4, 1, 1, 218)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words: twelve thousand two
Ordinal: 12002nd
Binary: 10111011100010
Octal: 27342
Hexadecimal: 0x2EE2
Base64: LuI=
One's complement: 53,533 (16-bit)
Scientific notation: 1.2002 × 10⁴
As a duration: 12,002 s = 3 hours, 20 minutes, 2 seconds

In other bases

ternary (3) 121110112

quaternary (4) 2323202

quinary (5) 341002

senary (6) 131322

septenary (7) 46664

nonary (9) 17415

undecimal (11) 9021

duodecimal (12) 6b42

tridecimal (13) 5603

tetradecimal (14) 4534

pentadecimal (15) 3852

Palindromic in base 7, base 16

As an angle

12,002° = 33 × 360° + 122°

122° ≈ 2.129 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹 𒌋𒌋 𒁹𒁹
Egyptian hieroglyphic: 𓂍𓆼𓆼𓏺𓏺
Greek (Milesian): ͵ιββʹ
Mayan (base 20): 𝋡·𝋪·𝋠·𝋢
Chinese: 一萬二千零二
Chinese (financial): 壹萬貳仟零貳

In other modern scripts

Eastern Arabic ١٢٠٠٢ Devanagari १२००२ Bengali ১২০০২ Tamil ௧௨௦௦௨ Thai ๑๒๐๐๒ Tibetan ༡༢༠༠༢ Khmer ១២០០២ Lao ໑໒໐໐໒ Burmese ၁၂၀၀၂

Digit at this position in famous constants

π — Pi (π): Digit 12,002 = 6
e — Euler's number (e): Digit 12,002 = 6
φ — Golden ratio (φ): Digit 12,002 = 1
√2 — Pythagoras's (√2): Digit 12,002 = 7
ln 2 — Natural log of 2: Digit 12,002 = 1
γ — Euler-Mascheroni (γ): Digit 12,002 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 12002, here are decompositions:

31 + 11971 = 12002
43 + 11959 = 12002
61 + 11941 = 12002
79 + 11923 = 12002
139 + 11863 = 12002
163 + 11839 = 12002
181 + 11821 = 12002
223 + 11779 = 12002

Showing the first eight; more decompositions exist.

Unicode codepoint

⻢

CJK Radical C-Simplified Horse

U+2EE2

Other symbol (So)

UTF-8 encoding: E2 BB A2 (3 bytes).

Lookup U+2EE2 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#002EE2

RGB(0, 46, 226)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.46.226.

Address: 0.0.46.226
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.46.226

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

Musical pitch

Heard as a frequency, 12,002 Hz is closest to:

Concert pitch (A4 = 440 Hz): F♯9 (11839.8 Hz, +24¢)
Scientific pitch (C4 = 256 Hz): G9 (12274.1 Hz, -39¢)
Baroque pitch (A4 = 415 Hz): G9 (11831.1 Hz, +25¢)

Position in π

The digit sequence 12002 first appears in π at position 101,969 of the decimal expansion (the 101,969ordinal-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 12002 on Pi Search ↗