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6,002

6,002 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.).
Deficient Number Evil Number Recamán's Sequence Semiprime Squarefree

Properties

Parity
Even
Digit count
4
Digit sum
8
Digit product
0
Digital root
8
Palindrome
No
Bit width
13 bits
Reversed
2,006
Recamán's sequence
a(12,759) = 6,002
Square (n²)
36,024,004
Cube (n³)
216,216,072,008
Divisor count
4
σ(n) — sum of divisors
9,006
φ(n) — Euler's totient
3,000
Sum of prime factors
3,003

Primality

Prime factorization: 2 × 3001

Nearest primes: 5,987 (−15) · 6,007 (+5)

Divisors & multiples

All divisors (4)
1 · 2 · 3001 (half) · 6002
Aliquot sum (sum of proper divisors): 3,004
Factor pairs (a × b = 6,002)
1 × 6002
2 × 3001
First multiples
6,002 · 12,004 (double) · 18,006 · 24,008 · 30,010 · 36,012 · 42,014 · 48,016 · 54,018 · 60,020

Sums & aliquot sequence

As a sum of two squares: 31² + 71²
As consecutive integers: 1,499 + 1,500 + 1,501 + 1,502
Aliquot sequence: 6,002 3,004 2,260 2,528 2,512 2,386 1,196 1,156 993 335 73 1 0 — terminates at zero

Representations

In words
six thousand two
Ordinal
6002nd
Binary
1011101110010
Octal
13562
Hexadecimal
0x1772
Base64
F3I=
One's complement
59,533 (16-bit)
In other bases
ternary (3) 22020022
quaternary (4) 1131302
quinary (5) 143002
senary (6) 43442
septenary (7) 23333
nonary (9) 8208
undecimal (11) 4567
duodecimal (12) 3582
tridecimal (13) 2969
tetradecimal (14) 228a
pentadecimal (15) 1ba2

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋𒌋𒌋𒌋 𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓆼𓏺𓏺
Greek (Milesian)
͵ϛβʹ
Mayan (base 20)
𝋯·𝋠·𝋢
Chinese
六千零二
Chinese (financial)
陸仟零貳
In other modern scripts
Eastern Arabic ٦٠٠٢ Devanagari ६००२ Bengali ৬০০২ Tamil ௬௦௦௨ Thai ๖๐๐๒ Tibetan ༦༠༠༢ Khmer ៦០០២ Lao ໖໐໐໒ Burmese ၆၀၀၂

Digit at this position in famous constants

π — Pi (π)
Digit 6,002 = 2
e — Euler's number (e)
Digit 6,002 = 7
φ — Golden ratio (φ)
Digit 6,002 = 0
√2 — Pythagoras's (√2)
Digit 6,002 = 9
ln 2 — Natural log of 2
Digit 6,002 = 9
γ — Euler-Mascheroni (γ)
Digit 6,002 = 7

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 6002, here are decompositions:

  • 79 + 5923 = 6002
  • 151 + 5851 = 6002
  • 163 + 5839 = 6002
  • 181 + 5821 = 6002
  • 211 + 5791 = 6002
  • 223 + 5779 = 6002
  • 313 + 5689 = 6002
  • 349 + 5653 = 6002

Showing the first eight; more decompositions exist.

Unicode codepoint
Tagbanwa Vowel Sign I
U+1772
Non-spacing mark (Mn)

UTF-8 encoding: E1 9D B2 (3 bytes).

Hex color
#001772
RGB(0, 23, 114)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.23.114.

Address
0.0.23.114
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.23.114

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

Position in π

The digit sequence 6002 first appears in π at position 3,153 of the decimal expansion (the 3,153ordinal-suffix:rd 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.