Live analysis

6,012

6,012 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.).

6,012 (six thousand twelve) is an even 4-digit number. It is a composite number with 18 divisors, and factors as 2² × 3² × 167. Its proper divisors sum to 9,276, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x177C.

Abundant Number Cube-Free Harshad / Niven Odious Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

6,000 6,001 6,002 6,003 6,004 6,005 6,006 6,007 6,008 6,009 6,010 6,011 6,012 6,013 6,014 6,015 6,016 6,017 6,018 6,019 6,020 6,021 6,022 6,023 6,024

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 13 bits
Reversed: 2,106
Recamán's sequence: a(12,739) = 6,012
Square (n²): 36,144,144
Cube (n³): 217,298,593,728
Divisor count: 18
σ(n) — sum of divisors: 15,288
φ(n) — Euler's totient: 1,992
Sum of prime factors: 177

Primality

Prime factorization: 2 ² × 3 ² × 167

Nearest primes: 6,011 (−1) · 6,029 (+17)

Divisors & multiples

All divisors (18)

1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 36 · 167 · 334 · 501 · 668 · 1002 · 1503 · 2004 · 3006 (half) · 6012

Aliquot sum (sum of proper divisors): 9,276

Factor pairs (a × b = 6,012)

1 × 6012

2 × 3006

3 × 2004

4 × 1503

6 × 1002

9 × 668

12 × 501

18 × 334

36 × 167

First multiples

6,012 · 12,024 (double) · 18,036 · 24,048 · 30,060 · 36,072 · 42,084 · 48,096 · 54,108 · 60,120

Sums & aliquot sequence

As consecutive integers: 2,003 + 2,004 + 2,005 748 + 749 + … + 755 664 + 665 + … + 672 239 + 240 + … + 262

Aliquot sequence: 6,012 → 9,276 → 12,396 → 16,556 → 12,424 → 10,886 → 5,446 → 3,914 → 2,326 → 1,166 → 778 → 392 → 463 → 1 → 0 — terminates at zero

Continued fraction of √n

√6,012 = [77; (1, 1, 6, 4, 6, 1, 1, 154)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words: six thousand twelve
Ordinal: 6012th
Binary: 1011101111100
Octal: 13574
Hexadecimal: 0x177C
Base64: F3w=
One's complement: 59,523 (16-bit)
Scientific notation: 6.012 × 10³
As a duration: 6,012 s = 1 hour, 40 minutes, 12 seconds

In other bases

ternary (3) 22020200

quaternary (4) 1131330

quinary (5) 143022

senary (6) 43500

septenary (7) 23346

nonary (9) 8220

undecimal (11) 4576

duodecimal (12) 3590

tridecimal (13) 2976

tetradecimal (14) 2296

pentadecimal (15) 1bac

As an angle

6,012° = 16 × 360° + 252°

252° ≈ 4.398 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒌋𒌋𒌋𒌋 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓏺𓏺
Greek (Milesian): ͵ϛιβʹ
Mayan (base 20): 𝋯·𝋠·𝋬
Chinese: 六千零一十二
Chinese (financial): 陸仟零壹拾貳

In other modern scripts

Eastern Arabic ٦٠١٢ Devanagari ६०१२ Bengali ৬০১২ Tamil ௬௦௧௨ Thai ๖๐๑๒ Tibetan ༦༠༡༢ Khmer ៦០១២ Lao ໖໐໑໒ Burmese ၆၀၁၂

Digit at this position in famous constants

π — Pi (π): Digit 6,012 = 7
e — Euler's number (e): Digit 6,012 = 5
φ — Golden ratio (φ): Digit 6,012 = 4
√2 — Pythagoras's (√2): Digit 6,012 = 8
ln 2 — Natural log of 2: Digit 6,012 = 5
γ — Euler-Mascheroni (γ): Digit 6,012 = 7

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 6012, here are decompositions:

5 + 6007 = 6012
31 + 5981 = 6012
59 + 5953 = 6012
73 + 5939 = 6012
89 + 5923 = 6012
109 + 5903 = 6012
131 + 5881 = 6012
151 + 5861 = 6012

Showing the first eight; more decompositions exist.

Hex color

#00177C

RGB(0, 23, 124)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.23.124.

Address: 0.0.23.124
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.23.124

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

Musical pitch

Heard as a frequency, 6,012 Hz is closest to:

Concert pitch (A4 = 440 Hz): F♯8 (5919.9 Hz, +27¢)
Scientific pitch (C4 = 256 Hz): G8 (6137.1 Hz, -36¢)
Baroque pitch (A4 = 415 Hz): G8 (5915.6 Hz, +28¢)

Position in π

The digit sequence 6012 first appears in π at position 6,303 of the decimal expansion (the 6,303ordinal-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.

Look up 6012 on Pi Search ↗