Live analysis

8,002

8,002 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.).

8,002 (eight thousand two) is an even 4-digit number. It is a composite number with 4 divisors, and factors as 2 × 4,001. Written other ways, in hexadecimal, 0x1F42.

Cube-Free Deficient Number Happy Number Lazy Caterer Number Odious Number Pernicious Number Recamán's Sequence Self Number Semiprime Squarefree

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

7,990 7,991 7,992 7,993 7,994 7,995 7,996 7,997 7,998 7,999 8,000 8,001 8,002 8,003 8,004 8,005 8,006 8,007 8,008 8,009 8,010 8,011 8,012 8,013 8,014

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 10
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 13 bits
Reversed: 2,008
Recamán's sequence: a(25,592) = 8,002
Square (n²): 64,032,004
Cube (n³): 512,384,096,008
Divisor count: 4
σ(n) — sum of divisors: 12,006
φ(n) — Euler's totient: 4,000
Sum of prime factors: 4,003

Primality

Prime factorization: 2 × 4001

Nearest primes: 7,993 (−9) · 8,009 (+7)

Divisors & multiples

All divisors (4)

1 · 2 · 4001 (half) · 8002

Aliquot sum (sum of proper divisors): 4,004

Factor pairs (a × b = 8,002)

1 × 8002

2 × 4001

First multiples

8,002 · 16,004 (double) · 24,006 · 32,008 · 40,010 · 48,012 · 56,014 · 64,016 · 72,018 · 80,020

Sums & aliquot sequence

As a sum of two squares: 9² + 89²

As consecutive integers: 1,999 + 2,000 + 2,001 + 2,002

Aliquot sequence: 8,002 → 4,004 → 5,404 → 5,460 → 13,356 → 25,956 → 49,756 → 49,812 → 83,244 → 138,964 → 144,326 → 127,978 → 67,322 → 36,250 → 34,040 → 48,040 → 60,140 — unresolved within range

Continued fraction of √n

√8,002 = [89; (2, 4, 1, 11, 1, 24, 1, 1, 1, 2, 1, 88, 1, 2, 1, 1, 1, 24, 1, 11, 1, 4, 2, 178)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words: eight thousand two
Ordinal: 8002nd
Binary: 1111101000010
Octal: 17502
Hexadecimal: 0x1F42
Base64: H0I=
One's complement: 57,533 (16-bit)
Scientific notation: 8.002 × 10³
As a duration: 8,002 s = 2 hours, 13 minutes, 22 seconds

In other bases

ternary (3) 101222101

quaternary (4) 1331002

quinary (5) 224002

senary (6) 101014

septenary (7) 32221

nonary (9) 11871

undecimal (11) 6015

duodecimal (12) 476a

tridecimal (13) 3847

tetradecimal (14) 2cb8

pentadecimal (15) 2587

Palindromic in base 3

As an angle

8,002° = 22 × 360° + 82°

82° ≈ 1.431 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓏺𓏺
Greek (Milesian): ͵ηβʹ
Mayan (base 20): 𝋡·𝋠·𝋠·𝋢
Chinese: 八千零二
Chinese (financial): 捌仟零貳

In other modern scripts

Eastern Arabic ٨٠٠٢ Devanagari ८००२ Bengali ৮০০২ Tamil ௮௦௦௨ Thai ๘๐๐๒ Tibetan ༨༠༠༢ Khmer ៨០០២ Lao ໘໐໐໒ Burmese ၈၀၀၂

Digit at this position in famous constants

π — Pi (π): Digit 8,002 = 5
e — Euler's number (e): Digit 8,002 = 7
φ — Golden ratio (φ): Digit 8,002 = 2
√2 — Pythagoras's (√2): Digit 8,002 = 2
ln 2 — Natural log of 2: Digit 8,002 = 5
γ — Euler-Mascheroni (γ): Digit 8,002 = 7

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 8002, here are decompositions:

53 + 7949 = 8002
83 + 7919 = 8002
101 + 7901 = 8002
149 + 7853 = 8002
173 + 7829 = 8002
179 + 7823 = 8002
311 + 7691 = 8002
353 + 7649 = 8002

Showing the first eight; more decompositions exist.

Unicode codepoint

ὂ

Greek Small Letter Omicron With Psili And Varia

U+1F42

Lowercase letter (Ll)

UTF-8 encoding: E1 BD 82 (3 bytes).

Lookup U+1F42 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#001F42

RGB(0, 31, 66)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.31.66.

Address: 0.0.31.66
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.31.66

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

Musical pitch

Heard as a frequency, 8,002 Hz is closest to:

Concert pitch (A4 = 440 Hz): B8 (7902.1 Hz, +22¢)
Scientific pitch (C4 = 256 Hz): C9 (8192 Hz, -41¢)
Baroque pitch (A4 = 415 Hz): C9 (7896.3 Hz, +23¢)

Position in π

The digit sequence 8002 first appears in π at position 8,884 of the decimal expansion (the 8,884ordinal-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 8002 on Pi Search ↗