Live analysis

2,990

2,990 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.).

2,990 (two thousand nine hundred ninety) is an even 4-digit number. It is a composite number with 16 divisors, and factors as 2 × 5 × 13 × 23. Its proper divisors sum to 3,058, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MMCMXC and in binary, 101110101110.

Abundant Number Arithmetic Number Cube-Free Evil Number Recamán's Sequence Semiperfect Number Squarefree

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

2,978 2,979 2,980 2,981 2,982 2,983 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

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 20
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 12 bits
Reversed: 992
Recamán's sequence: a(29,684) = 2,990
Square (n²): 8,940,100
Cube (n³): 26,730,899,000
Divisor count: 16
σ(n) — sum of divisors: 6,048
φ(n) — Euler's totient: 1,056
Sum of prime factors: 43

Primality

Prime factorization: 2 × 5 × 13 × 23

Nearest primes: 2,971 (−19) · 2,999 (+9)

Divisors & multiples

All divisors (16)

1 · 2 · 5 · 10 · 13 · 23 · 26 · 46 · 65 · 115 · 130 · 230 · 299 · 598 · 1495 (half) · 2990

Aliquot sum (sum of proper divisors): 3,058

Factor pairs (a × b = 2,990)

1 × 2990

2 × 1495

5 × 598

10 × 299

13 × 230

23 × 130

26 × 115

46 × 65

First multiples

2,990 · 5,980 (double) · 8,970 · 11,960 · 14,950 · 17,940 · 20,930 · 23,920 · 26,910 · 29,900

Sums & aliquot sequence

As consecutive integers: 746 + 747 + 748 + 749 596 + 597 + 598 + 599 + 600 224 + 225 + … + 236 140 + 141 + … + 159

Aliquot sequence: 2,990 → 3,058 → 1,982 → 994 → 734 → 370 → 314 → 160 → 218 → 112 → 136 → 134 → 70 → 74 → 40 → 50 → 43 — unresolved within range

Continued fraction of √n

√2,990 = [54; (1, 2, 7, 2, 10, 2, 7, 2, 1, 108)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words: two thousand nine hundred ninety
Ordinal: 2990th
Roman numeral: MMCMXC
Binary: 101110101110
Octal: 5656
Hexadecimal: 0xBAE
Base64: C64=
One's complement: 62,545 (16-bit)
Scientific notation: 2.99 × 10³
As a duration: 2,990 s = 49 minutes, 50 seconds

In other bases

ternary (3) 11002202

quaternary (4) 232232

quinary (5) 43430

senary (6) 21502

septenary (7) 11501

nonary (9) 4082

undecimal (11) 2279

duodecimal (12) 1892

tridecimal (13) 1490

tetradecimal (14) 1138

pentadecimal (15) d45

Palindromic in base 4

As an angle

2,990° = 8 × 360° + 110°

110° ≈ 1.92 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian): ͵βϡϟʹ
Mayan (base 20): 𝋧·𝋩·𝋪
Chinese: 二千九百九十
Chinese (financial): 貳仟玖佰玖拾

In other modern scripts

Eastern Arabic ٢٩٩٠ Devanagari २९९० Bengali ২৯৯০ Tamil ௨௯௯௦ Thai ๒๙๙๐ Tibetan ༢༩༩༠ Khmer ២៩៩០ Lao ໒໙໙໐ Burmese ၂၉၉၀

Digit at this position in famous constants

π — Pi (π): Digit 2,990 = 1
e — Euler's number (e): Digit 2,990 = 6
φ — Golden ratio (φ): Digit 2,990 = 8
√2 — Pythagoras's (√2): Digit 2,990 = 2
ln 2 — Natural log of 2: Digit 2,990 = 8
γ — Euler-Mascheroni (γ): Digit 2,990 = 7

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 2990, here are decompositions:

19 + 2971 = 2990
37 + 2953 = 2990
73 + 2917 = 2990
103 + 2887 = 2990
139 + 2851 = 2990
157 + 2833 = 2990
193 + 2797 = 2990
199 + 2791 = 2990

Showing the first eight; more decompositions exist.

Unicode codepoint

ம

Tamil Letter Ma

U+0BAE

Other letter (Lo)

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

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

Hex color

#000BAE

RGB(0, 11, 174)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.11.174.

Address: 0.0.11.174
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.11.174

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

Musical pitch

Heard as a frequency, 2,990 Hz is closest to:

Concert pitch (A4 = 440 Hz): F♯7 (2960 Hz, +17¢)
Scientific pitch (C4 = 256 Hz): G7 (3068.5 Hz, -45¢ — about midway to F♯7)
Baroque pitch (A4 = 415 Hz): G7 (2957.8 Hz, +19¢)

Position in π

The digit sequence 2990 first appears in π at position 21,170 of the decimal expansion (the 21,170ordinal-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 2990 on Pi Search ↗