Live analysis

9,990

9,990 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.).

9,990 (nine thousand nine hundred ninety) is an even 4-digit number. It is a composite number with 32 divisors, and factors as 2 × 3³ × 5 × 37. Its proper divisors sum to 17,370, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2706.

Abundant Number Arithmetic Number Evil Number Flippable Gapful Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

9,978 9,979 9,980 9,981 9,982 9,983 9,984 9,985 9,986 9,987 9,988 9,989 9,990 9,991 9,992 9,993 9,994 9,995 9,996 9,997 9,998 9,999 10,000 10,001 10,002

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 27
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 14 bits
Reversed: 999
Flips to (rotate 180°): 666
Recamán's sequence: a(7,235) = 9,990
Square (n²): 99,800,100
Cube (n³): 997,002,999,000
Divisor count: 32
σ(n) — sum of divisors: 27,360
φ(n) — Euler's totient: 2,592
Sum of prime factors: 53

Primality

Prime factorization: 2 × 3 ³ × 5 × 37

Nearest primes: 9,973 (−17) · 10,007 (+17)

Divisors & multiples

All divisors (32)

1 · 2 · 3 · 5 · 6 · 9 · 10 · 15 · 18 · 27 · 30 · 37 · 45 · 54 · 74 · 90 · 111 · 135 · 185 · 222 · 270 · 333 · 370 · 555 · 666 · 999 · 1110 · 1665 · 1998 · 3330 · 4995 (half) · 9990

Aliquot sum (sum of proper divisors): 17,370

Factor pairs (a × b = 9,990)

1 × 9990

2 × 4995

3 × 3330

5 × 1998

6 × 1665

9 × 1110

10 × 999

15 × 666

18 × 555

27 × 370

30 × 333

37 × 270

45 × 222

54 × 185

74 × 135

90 × 111

First multiples

9,990 · 19,980 (double) · 29,970 · 39,960 · 49,950 · 59,940 · 69,930 · 79,920 · 89,910 · 99,900

Sums & aliquot sequence

As a sum of two cubes: 9³ + 21³

As consecutive integers: 3,329 + 3,330 + 3,331 2,496 + 2,497 + 2,498 + 2,499 1,996 + 1,997 + 1,998 + 1,999 + 2,000 1,106 + 1,107 + … + 1,114

Aliquot sequence: 9,990 → 17,370 → 28,026 → 35,136 → 67,226 → 33,616 → 37,808 → 40,312 → 35,288 → 37,072 → 45,264 → 79,728 → 146,448 → 281,166 → 281,178 → 363,942 → 424,638 — unresolved within range

Continued fraction of √n

√9,990 = [99; (1, 18, 1, 198)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words: nine thousand nine hundred ninety
Ordinal: 9990th
Binary: 10011100000110
Octal: 23406
Hexadecimal: 0x2706
Base64: JwY=
One's complement: 55,545 (16-bit)
Scientific notation: 9.99 × 10³
As a duration: 9,990 s = 2 hours, 46 minutes, 30 seconds

In other bases

ternary (3) 111201000

quaternary (4) 2130012

quinary (5) 304430

senary (6) 114130

septenary (7) 41061

nonary (9) 14630

undecimal (11) 7562

duodecimal (12) 5946

tridecimal (13) 4716

tetradecimal (14) 38d8

pentadecimal (15) 2e60

As an angle

9,990° = 27 × 360° + 270°

270° ≈ 4.712 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian): ͵θϡϟʹ
Mayan (base 20): 𝋡·𝋤·𝋳·𝋪
Chinese: 九千九百九十
Chinese (financial): 玖仟玖佰玖拾

In other modern scripts

Eastern Arabic ٩٩٩٠ Devanagari ९९९० Bengali ৯৯৯০ Tamil ௯௯௯௦ Thai ๙๙๙๐ Tibetan ༩༩༩༠ Khmer ៩៩៩០ Lao ໙໙໙໐ Burmese ၉၉၉၀

Digit at this position in famous constants

π — Pi (π): Digit 9,990 = 6
e — Euler's number (e): Digit 9,990 = 1
φ — Golden ratio (φ): Digit 9,990 = 3
√2 — Pythagoras's (√2): Digit 9,990 = 2
ln 2 — Natural log of 2: Digit 9,990 = 6
γ — Euler-Mascheroni (γ): Digit 9,990 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 9990, here are decompositions:

17 + 9973 = 9990
23 + 9967 = 9990
41 + 9949 = 9990
59 + 9931 = 9990
61 + 9929 = 9990
67 + 9923 = 9990
83 + 9907 = 9990
89 + 9901 = 9990

Showing the first eight; more decompositions exist.

Unicode codepoint

✆

Telephone Location Sign

U+2706

Other symbol (So)

UTF-8 encoding: E2 9C 86 (3 bytes).

Lookup U+2706 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#002706

RGB(0, 39, 6)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.39.6.

Address: 0.0.39.6
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.39.6

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

Musical pitch

Heard as a frequency, 9,990 Hz is closest to:

Concert pitch (A4 = 440 Hz): D♯9 (9956.1 Hz, +6¢)
Scientific pitch (C4 = 256 Hz): D♯9 (9742 Hz, +44¢)
Baroque pitch (A4 = 415 Hz): E9 (9948.8 Hz, +7¢)

Position in π

The digit sequence 9990 first appears in π at position 25,584 of the decimal expansion (the 25,584ordinal-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 9990 on Pi Search ↗