Live analysis

2,996

2,996 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.).

2,996 (two thousand nine hundred ninety-six) is an even 4-digit number. It is a composite number with 12 divisors, and factors as 2² × 7 × 107. Its proper divisors sum to 3,052, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MMCMXCVI and in binary, 101110110100.

Abundant Number Arithmetic Number Cube-Free Odious Number Pernicious Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

2,984 2,985 2,986 2,987 2,988 2,989 2,990 2,991 2,992 2,993 2,994 2,995 2,996 2,997 2,998 2,999 3,000 3,001 3,002 3,003 3,004 3,005 3,006 3,007 3,008

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 26
Digit product: 972
Digital root: 8
Palindrome: No
Bit width: 12 bits
Reversed: 6,992
Recamán's sequence: a(1,423) = 2,996
Square (n²): 8,976,016
Cube (n³): 26,892,143,936
Divisor count: 12
σ(n) — sum of divisors: 6,048
φ(n) — Euler's totient: 1,272
Sum of prime factors: 118

Primality

Prime factorization: 2 ² × 7 × 107

Nearest primes: 2,971 (−25) · 2,999 (+3)

Divisors & multiples

All divisors (12)

1 · 2 · 4 · 7 · 14 · 28 · 107 · 214 · 428 · 749 · 1498 (half) · 2996

Aliquot sum (sum of proper divisors): 3,052

Factor pairs (a × b = 2,996)

1 × 2996

2 × 1498

4 × 749

7 × 428

14 × 214

28 × 107

First multiples

2,996 · 5,992 (double) · 8,988 · 11,984 · 14,980 · 17,976 · 20,972 · 23,968 · 26,964 · 29,960

Sums & aliquot sequence

As consecutive integers: 425 + 426 + … + 431 371 + 372 + … + 378 26 + 27 + … + 81

Aliquot sequence: 2,996 → 3,052 → 3,108 → 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 — unresolved within range

Continued fraction of √n

√2,996 = [54; (1, 2, 1, 3, 1, 1, 1, 2, 3, 6, 1, 1, 4, 1, 14, 1, 4, 1, 1, 6, 3, 2, 1, 1, …)]

Period length 30 — the block in parentheses repeats forever.

Representations

In words: two thousand nine hundred ninety-six
Ordinal: 2996th
Roman numeral: MMCMXCVI
Binary: 101110110100
Octal: 5664
Hexadecimal: 0xBB4
Base64: C7Q=
One's complement: 62,539 (16-bit)
Scientific notation: 2.996 × 10³
As a duration: 2,996 s = 49 minutes, 56 seconds

In other bases

ternary (3) 11002222

quaternary (4) 232310

quinary (5) 43441

senary (6) 21512

septenary (7) 11510

nonary (9) 4088

undecimal (11) 2284

duodecimal (12) 1898

tridecimal (13) 1496

tetradecimal (14) 1140

pentadecimal (15) d4b

Palindromic in base 6

As an angle

2,996° = 8 × 360° + 116°

116° ≈ 2.025 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵βϡϟϛʹ
Mayan (base 20): 𝋧·𝋩·𝋰
Chinese: 二千九百九十六
Chinese (financial): 貳仟玖佰玖拾陸

In other modern scripts

Eastern Arabic ٢٩٩٦ Devanagari २९९६ Bengali ২৯৯৬ Tamil ௨௯௯௬ Thai ๒๙๙๖ Tibetan ༢༩༩༦ Khmer ២៩៩៦ Lao ໒໙໙໖ Burmese ၂၉၉၆

Digit at this position in famous constants

π — Pi (π): Digit 2,996 = 2
e — Euler's number (e): Digit 2,996 = 2
φ — Golden ratio (φ): Digit 2,996 = 7
√2 — Pythagoras's (√2): Digit 2,996 = 2
ln 2 — Natural log of 2: Digit 2,996 = 9
γ — Euler-Mascheroni (γ): Digit 2,996 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 2996, here are decompositions:

43 + 2953 = 2996
79 + 2917 = 2996
109 + 2887 = 2996
139 + 2857 = 2996
163 + 2833 = 2996
193 + 2803 = 2996
199 + 2797 = 2996
229 + 2767 = 2996

Showing the first eight; more decompositions exist.

Unicode codepoint

ழ

Tamil Letter Llla

U+0BB4

Other letter (Lo)

UTF-8 encoding: E0 AE B4 (3 bytes).

Lookup U+0BB4 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000BB4

RGB(0, 11, 180)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.11.180.

Address: 0.0.11.180
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.11.180

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

Musical pitch

Heard as a frequency, 2,996 Hz is closest to:

Concert pitch (A4 = 440 Hz): F♯7 (2960 Hz, +21¢)
Scientific pitch (C4 = 256 Hz): G7 (3068.5 Hz, -41¢)
Baroque pitch (A4 = 415 Hz): G7 (2957.8 Hz, +22¢)

Position in π

The digit sequence 2996 first appears in π at position 4,451 of the decimal expansion (the 4,451ordinal-suffix:st 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 2996 on Pi Search ↗