Live analysis

7,990

7,990 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.).

7,990 (seven thousand nine hundred ninety) is an even 4-digit number. It is a composite number with 16 divisors, and factors as 2 × 5 × 17 × 47. Written other ways, in hexadecimal, 0x1F36.

Arithmetic Number Cube-Free Deficient Number Odious Number Recamán's Sequence Squarefree

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

7,978 7,979 7,980 7,981 7,982 7,983 7,984 7,985 7,986 7,987 7,988 7,989 7,990 7,991 7,992 7,993 7,994 7,995 7,996 7,997 7,998 7,999 8,000 8,001 8,002

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 25
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 13 bits
Reversed: 997
Recamán's sequence: a(25,616) = 7,990
Square (n²): 63,840,100
Cube (n³): 510,082,399,000
Divisor count: 16
σ(n) — sum of divisors: 15,552
φ(n) — Euler's totient: 2,944
Sum of prime factors: 71

Primality

Prime factorization: 2 × 5 × 17 × 47

Nearest primes: 7,963 (−27) · 7,993 (+3)

Divisors & multiples

All divisors (16)

1 · 2 · 5 · 10 · 17 · 34 · 47 · 85 · 94 · 170 · 235 · 470 · 799 · 1598 · 3995 (half) · 7990

Aliquot sum (sum of proper divisors): 7,562

Factor pairs (a × b = 7,990)

1 × 7990

2 × 3995

5 × 1598

10 × 799

17 × 470

34 × 235

47 × 170

85 × 94

First multiples

7,990 · 15,980 (double) · 23,970 · 31,960 · 39,950 · 47,940 · 55,930 · 63,920 · 71,910 · 79,900

Sums & aliquot sequence

As consecutive integers: 1,996 + 1,997 + 1,998 + 1,999 1,596 + 1,597 + 1,598 + 1,599 + 1,600 462 + 463 + … + 478 390 + 391 + … + 409

Aliquot sequence: 7,990 → 7,562 → 4,438 → 3,194 → 1,600 → 2,337 → 1,023 → 513 → 287 → 49 → 8 → 7 → 1 → 0 — terminates at zero

Continued fraction of √n

√7,990 = [89; (2, 1, 1, 2, 2, 3, 11, 1, 1, 1, 2, 19, 2, 19, 2, 1, 1, 1, 11, 3, 2, 2, 1, 1, …)]

Period length 26 — the block in parentheses repeats forever.

Representations

In words: seven thousand nine hundred ninety
Ordinal: 7990th
Binary: 1111100110110
Octal: 17466
Hexadecimal: 0x1F36
Base64: HzY=
One's complement: 57,545 (16-bit)
Scientific notation: 7.99 × 10³
As a duration: 7,990 s = 2 hours, 13 minutes, 10 seconds

In other bases

ternary (3) 101221221

quaternary (4) 1330312

quinary (5) 223430

senary (6) 100554

septenary (7) 32203

nonary (9) 11857

undecimal (11) 6004

duodecimal (12) 475a

tridecimal (13) 3838

tetradecimal (14) 2caa

pentadecimal (15) 257a

As an angle

7,990° = 22 × 360° + 70°

70° ≈ 1.222 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian): ͵ζϡϟʹ
Mayan (base 20): 𝋳·𝋳·𝋪
Chinese: 七千九百九十
Chinese (financial): 柒仟玖佰玖拾

In other modern scripts

Eastern Arabic ٧٩٩٠ Devanagari ७९९० Bengali ৭৯৯০ Tamil ௭௯௯௦ Thai ๗๙๙๐ Tibetan ༧༩༩༠ Khmer ៧៩៩០ Lao ໗໙໙໐ Burmese ၇၉၉၀

Digit at this position in famous constants

π — Pi (π): Digit 7,990 = 6
e — Euler's number (e): Digit 7,990 = 8
φ — Golden ratio (φ): Digit 7,990 = 0
√2 — Pythagoras's (√2): Digit 7,990 = 6
ln 2 — Natural log of 2: Digit 7,990 = 6
γ — Euler-Mascheroni (γ): Digit 7,990 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 7990, here are decompositions:

41 + 7949 = 7990
53 + 7937 = 7990
71 + 7919 = 7990
83 + 7907 = 7990
89 + 7901 = 7990
107 + 7883 = 7990
113 + 7877 = 7990
137 + 7853 = 7990

Showing the first eight; more decompositions exist.

Unicode codepoint

ἶ

Greek Small Letter Iota With Psili And Perispomeni

U+1F36

Lowercase letter (Ll)

UTF-8 encoding: E1 BC B6 (3 bytes).

Lookup U+1F36 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#001F36

RGB(0, 31, 54)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.31.54.

Address: 0.0.31.54
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.31.54

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

Musical pitch

Heard as a frequency, 7,990 Hz is closest to:

Concert pitch (A4 = 440 Hz): B8 (7902.1 Hz, +19¢)
Scientific pitch (C4 = 256 Hz): C9 (8192 Hz, -43¢)
Baroque pitch (A4 = 415 Hz): C9 (7896.3 Hz, +20¢)

Position in π

The digit sequence 7990 first appears in π at position 25,405 of the decimal expansion (the 25,405ordinal-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 7990 on Pi Search ↗