Live analysis

3,012

3,012 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.).

3,012 (three thousand twelve) is an even 4-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 251. Its proper divisors sum to 4,044, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MMMXII and in binary, 101111000100.

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

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

3,000 3,001 3,002 3,003 3,004 3,005 3,006 3,007 3,008 3,009 3,010 3,011 3,012 3,013 3,014 3,015 3,016 3,017 3,018 3,019 3,020 3,021 3,022 3,023 3,024

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 6
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 12 bits
Reversed: 2,103
Recamán's sequence: a(1,463) = 3,012
Square (n²): 9,072,144
Cube (n³): 27,325,297,728
Divisor count: 12
σ(n) — sum of divisors: 7,056
φ(n) — Euler's totient: 1,000
Sum of prime factors: 258

Primality

Prime factorization: 2 ² × 3 × 251

Nearest primes: 3,011 (−1) · 3,019 (+7)

Divisors & multiples

All divisors (12)

1 · 2 · 3 · 4 · 6 · 12 · 251 · 502 · 753 · 1004 · 1506 (half) · 3012

Aliquot sum (sum of proper divisors): 4,044

Factor pairs (a × b = 3,012)

1 × 3012

2 × 1506

3 × 1004

4 × 753

6 × 502

12 × 251

First multiples

3,012 · 6,024 (double) · 9,036 · 12,048 · 15,060 · 18,072 · 21,084 · 24,096 · 27,108 · 30,120

Sums & aliquot sequence

As consecutive integers: 1,003 + 1,004 + 1,005 373 + 374 + … + 380 114 + 115 + … + 137

Aliquot sequence: 3,012 → 4,044 → 5,420 → 6,004 → 5,196 → 6,956 → 5,812 → 4,366 → 2,474 → 1,240 → 1,640 → 2,140 → 2,396 → 1,804 → 1,724 → 1,300 → 1,738 — unresolved within range

Continued fraction of √n

√3,012 = [54; (1, 7, 2, 4, 1, 3, 9, 1, 2, 1, 1, 8, 1, 1, 2, 1, 9, 3, 1, 4, 2, 7, 1, 108)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words: three thousand twelve
Ordinal: 3012th
Roman numeral: MMMXII
Binary: 101111000100
Octal: 5704
Hexadecimal: 0xBC4
Base64: C8Q=
One's complement: 62,523 (16-bit)
Scientific notation: 3.012 × 10³
As a duration: 3,012 s = 50 minutes, 12 seconds

In other bases

ternary (3) 11010120

quaternary (4) 233010

quinary (5) 44022

senary (6) 21540

septenary (7) 11532

nonary (9) 4116

undecimal (11) 2299

duodecimal (12) 18b0

tridecimal (13) 14a9

tetradecimal (14) 1152

pentadecimal (15) d5c

As an angle

3,012° = 8 × 360° + 132°

132° ≈ 2.304 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒌋𒌋 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓎆𓏺𓏺
Greek (Milesian): ͵γιβʹ
Mayan (base 20): 𝋧·𝋪·𝋬
Chinese: 三千零一十二
Chinese (financial): 參仟零壹拾貳

In other modern scripts

Eastern Arabic ٣٠١٢ Devanagari ३०१२ Bengali ৩০১২ Tamil ௩௦௧௨ Thai ๓๐๑๒ Tibetan ༣༠༡༢ Khmer ៣០១២ Lao ໓໐໑໒ Burmese ၃၀၁၂

Digit at this position in famous constants

π — Pi (π): Digit 3,012 = 9
e — Euler's number (e): Digit 3,012 = 1
φ — Golden ratio (φ): Digit 3,012 = 6
√2 — Pythagoras's (√2): Digit 3,012 = 0
ln 2 — Natural log of 2: Digit 3,012 = 5
γ — Euler-Mascheroni (γ): Digit 3,012 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 3012, here are decompositions:

11 + 3001 = 3012
13 + 2999 = 3012
41 + 2971 = 3012
43 + 2969 = 3012
59 + 2953 = 3012
73 + 2939 = 3012
103 + 2909 = 3012
109 + 2903 = 3012

Showing the first eight; more decompositions exist.

Hex color

#000BC4

RGB(0, 11, 196)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.11.196.

Address: 0.0.11.196
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.11.196

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

Musical pitch

Heard as a frequency, 3,012 Hz is closest to:

Concert pitch (A4 = 440 Hz): F♯7 (2960 Hz, +30¢)
Scientific pitch (C4 = 256 Hz): G7 (3068.5 Hz, -32¢)
Baroque pitch (A4 = 415 Hz): G7 (2957.8 Hz, +31¢)

Position in π

The digit sequence 3012 first appears in π at position 16,990 of the decimal expansion (the 16,990ordinal-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 3012 on Pi Search ↗