Live analysis

9,940

9,940 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.).

9,940 (nine thousand nine hundred forty) is an even 4-digit number. It is a composite number with 24 divisors, and factors as 2² × 5 × 7 × 71. Its proper divisors sum to 14,252, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x26D4.

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

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

9,928 9,929 9,930 9,931 9,932 9,933 9,934 9,935 9,936 9,937 9,938 9,939 9,940 9,941 9,942 9,943 9,944 9,945 9,946 9,947 9,948 9,949 9,950 9,951 9,952

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 22
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 14 bits
Reversed: 499
Recamán's sequence: a(4,519) = 9,940
Square (n²): 98,803,600
Cube (n³): 982,107,784,000
Divisor count: 24
σ(n) — sum of divisors: 24,192
φ(n) — Euler's totient: 3,360
Sum of prime factors: 87

Primality

Prime factorization: 2 ² × 5 × 7 × 71

Nearest primes: 9,931 (−9) · 9,941 (+1)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 5 · 7 · 10 · 14 · 20 · 28 · 35 · 70 · 71 · 140 · 142 · 284 · 355 · 497 · 710 · 994 · 1420 · 1988 · 2485 · 4970 (half) · 9940

Aliquot sum (sum of proper divisors): 14,252

Factor pairs (a × b = 9,940)

1 × 9940

2 × 4970

4 × 2485

5 × 1988

7 × 1420

10 × 994

14 × 710

20 × 497

28 × 355

35 × 284

70 × 142

71 × 140

First multiples

9,940 · 19,880 (double) · 29,820 · 39,760 · 49,700 · 59,640 · 69,580 · 79,520 · 89,460 · 99,400

Sums & aliquot sequence

As consecutive integers: 1,986 + 1,987 + 1,988 + 1,989 + 1,990 1,417 + 1,418 + … + 1,423 1,239 + 1,240 + … + 1,246 267 + 268 + … + 301

Aliquot sequence: 9,940 → 14,252 → 14,308 → 15,218 → 10,894 → 6,746 → 3,376 → 3,196 → 2,852 → 2,524 → 1,900 → 2,440 → 3,140 → 3,496 → 3,704 → 3,256 → 3,584 — unresolved within range

Continued fraction of √n

√9,940 = [99; (1, 2, 3, 21, 1, 5, 1, 11, 1, 1, 1, 1, 5, 1, 4, 1, 5, 1, 1, 1, 1, 11, 1, 5, …)]

Period length 30 — the block in parentheses repeats forever.

Representations

In words: nine thousand nine hundred forty
Ordinal: 9940th
Binary: 10011011010100
Octal: 23324
Hexadecimal: 0x26D4
Base64: JtQ=
One's complement: 55,595 (16-bit)
Scientific notation: 9.94 × 10³
As a duration: 9,940 s = 2 hours, 45 minutes, 40 seconds

In other bases

ternary (3) 111122011

quaternary (4) 2123110

quinary (5) 304230

senary (6) 114004

septenary (7) 40660

nonary (9) 14564

undecimal (11) 7517

duodecimal (12) 5904

tridecimal (13) 46a8

tetradecimal (14) 38a0

pentadecimal (15) 2e2a

As an angle

9,940° = 27 × 360° + 220°

220° ≈ 3.84 rad

Compass bearing: SW (southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian): ͵θϡμʹ
Mayan (base 20): 𝋡·𝋤·𝋱·𝋠
Chinese: 九千九百四十
Chinese (financial): 玖仟玖佰肆拾

In other modern scripts

Eastern Arabic ٩٩٤٠ Devanagari ९९४० Bengali ৯৯৪০ Tamil ௯௯௪௦ Thai ๙๙๔๐ Tibetan ༩༩༤༠ Khmer ៩៩៤០ Lao ໙໙໔໐ Burmese ၉၉၄၀

Digit at this position in famous constants

π — Pi (π): Digit 9,940 = 5
e — Euler's number (e): Digit 9,940 = 6
φ — Golden ratio (φ): Digit 9,940 = 5
√2 — Pythagoras's (√2): Digit 9,940 = 9
ln 2 — Natural log of 2: Digit 9,940 = 4
γ — Euler-Mascheroni (γ): Digit 9,940 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 9940, here are decompositions:

11 + 9929 = 9940
17 + 9923 = 9940
53 + 9887 = 9940
83 + 9857 = 9940
89 + 9851 = 9940
101 + 9839 = 9940
107 + 9833 = 9940
137 + 9803 = 9940

Showing the first eight; more decompositions exist.

Unicode codepoint

⛔

No Entry

U+26D4

Other symbol (So)

UTF-8 encoding: E2 9B 94 (3 bytes).

Lookup U+26D4 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0026D4

RGB(0, 38, 212)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.38.212.

Address: 0.0.38.212
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.38.212

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

Musical pitch

Heard as a frequency, 9,940 Hz is closest to:

Concert pitch (A4 = 440 Hz): D♯9 (9956.1 Hz, -3¢)
Scientific pitch (C4 = 256 Hz): D♯9 (9742 Hz, +35¢)
Baroque pitch (A4 = 415 Hz): E9 (9948.8 Hz, -2¢)

Position in π

The digit sequence 9940 first appears in π at position 23,806 of the decimal expansion (the 23,806ordinal-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 9940 on Pi Search ↗