Live analysis

9,960

9,960 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.).

9,960 (nine thousand nine hundred sixty) is an even 4-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 5 × 83. Its proper divisors sum to 20,280, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x26E8.

Abundant Number Arithmetic Number Flippable Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Self Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

9,948 9,949 9,950 9,951 9,952 9,953 9,954 9,955 9,956 9,957 9,958 9,959 9,960 9,961 9,962 9,963 9,964 9,965 9,966 9,967 9,968 9,969 9,970 9,971 9,972

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 24
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 14 bits
Reversed: 699
Flips to (rotate 180°): 966
Recamán's sequence: a(7,659) = 9,960
Square (n²): 99,201,600
Cube (n³): 988,047,936,000
Divisor count: 32
σ(n) — sum of divisors: 30,240
φ(n) — Euler's totient: 2,624
Sum of prime factors: 97

Primality

Prime factorization: 2 ³ × 3 × 5 × 83

Nearest primes: 9,949 (−11) · 9,967 (+7)

Divisors & multiples

All divisors (32)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 20 · 24 · 30 · 40 · 60 · 83 · 120 · 166 · 249 · 332 · 415 · 498 · 664 · 830 · 996 · 1245 · 1660 · 1992 · 2490 · 3320 · 4980 (half) · 9960

Aliquot sum (sum of proper divisors): 20,280

Factor pairs (a × b = 9,960)

1 × 9960

2 × 4980

3 × 3320

4 × 2490

5 × 1992

6 × 1660

8 × 1245

10 × 996

12 × 830

15 × 664

20 × 498

24 × 415

30 × 332

40 × 249

60 × 166

83 × 120

First multiples

9,960 · 19,920 (double) · 29,880 · 39,840 · 49,800 · 59,760 · 69,720 · 79,680 · 89,640 · 99,600

Sums & aliquot sequence

As consecutive integers: 3,319 + 3,320 + 3,321 1,990 + 1,991 + 1,992 + 1,993 + 1,994 657 + 658 + … + 671 615 + 616 + … + 630

Aliquot sequence: 9,960 → 20,280 → 45,600 → 110,640 → 233,088 → 387,072 → 923,328 → 2,114,512 → 1,982,386 → 1,629,134 → 1,002,586 → 617,018 → 308,512 → 320,480 → 437,032 → 382,418 → 196,894 — unresolved within range

Continued fraction of √n

√9,960 = [99; (1, 3, 1, 198)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words: nine thousand nine hundred sixty
Ordinal: 9960th
Binary: 10011011101000
Octal: 23350
Hexadecimal: 0x26E8
Base64: Jug=
One's complement: 55,575 (16-bit)
Scientific notation: 9.96 × 10³
As a duration: 9,960 s = 2 hours, 46 minutes

In other bases

ternary (3) 111122220

quaternary (4) 2123220

quinary (5) 304320

senary (6) 114040

septenary (7) 41016

nonary (9) 14586

undecimal (11) 7535

duodecimal (12) 5920

tridecimal (13) 46c2

tetradecimal (14) 38b6

pentadecimal (15) 2e40

As an angle

9,960° = 27 × 360° + 240°

240° ≈ 4.189 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian): ͵θϡξʹ
Mayan (base 20): 𝋡·𝋤·𝋲·𝋠
Chinese: 九千九百六十
Chinese (financial): 玖仟玖佰陸拾

In other modern scripts

Eastern Arabic ٩٩٦٠ Devanagari ९९६० Bengali ৯৯৬০ Tamil ௯௯௬௦ Thai ๙๙๖๐ Tibetan ༩༩༦༠ Khmer ៩៩៦០ Lao ໙໙໖໐ Burmese ၉၉၆၀

Digit at this position in famous constants

π — Pi (π): Digit 9,960 = 8
e — Euler's number (e): Digit 9,960 = 2
φ — Golden ratio (φ): Digit 9,960 = 6
√2 — Pythagoras's (√2): Digit 9,960 = 7
ln 2 — Natural log of 2: Digit 9,960 = 5
γ — Euler-Mascheroni (γ): Digit 9,960 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 9960, here are decompositions:

11 + 9949 = 9960
19 + 9941 = 9960
29 + 9931 = 9960
31 + 9929 = 9960
37 + 9923 = 9960
53 + 9907 = 9960
59 + 9901 = 9960
73 + 9887 = 9960

Showing the first eight; more decompositions exist.

Unicode codepoint

⛨

Black Cross On Shield

U+26E8

Other symbol (So)

UTF-8 encoding: E2 9B A8 (3 bytes).

Lookup U+26E8 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0026E8

RGB(0, 38, 232)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.38.232.

Address: 0.0.38.232
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.38.232

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

Musical pitch

Heard as a frequency, 9,960 Hz is closest to:

Concert pitch (A4 = 440 Hz): D♯9 (9956.1 Hz, +1¢)
Scientific pitch (C4 = 256 Hz): D♯9 (9742 Hz, +38¢)
Baroque pitch (A4 = 415 Hz): E9 (9948.8 Hz, +2¢)

Position in π

The digit sequence 9960 first appears in π at position 747 of the decimal expansion (the 747ordinal-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 9960 on Pi Search ↗