Live analysis

9,264

9,264 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.).

9,264 (nine thousand two hundred sixty-four) is an even 4-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 3 × 193. Its proper divisors sum to 14,792, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2430.

Abundant Number Evil Number Recamán's Sequence Self Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

9,252 9,253 9,254 9,255 9,256 9,257 9,258 9,259 9,260 9,261 9,262 9,263 9,264 9,265 9,266 9,267 9,268 9,269 9,270 9,271 9,272 9,273 9,274 9,275 9,276

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 21
Digit product: 432
Digital root: 3
Palindrome: No
Bit width: 14 bits
Reversed: 4,629
Recamán's sequence: a(9,423) = 9,264
Square (n²): 85,821,696
Cube (n³): 795,052,191,744
Divisor count: 20
σ(n) — sum of divisors: 24,056
φ(n) — Euler's totient: 3,072
Sum of prime factors: 204

Primality

Prime factorization: 2 ⁴ × 3 × 193

Nearest primes: 9,257 (−7) · 9,277 (+13)

Divisors & multiples

All divisors (20)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 48 · 193 · 386 · 579 · 772 · 1158 · 1544 · 2316 · 3088 · 4632 (half) · 9264

Aliquot sum (sum of proper divisors): 14,792

Factor pairs (a × b = 9,264)

1 × 9264

2 × 4632

3 × 3088

4 × 2316

6 × 1544

8 × 1158

12 × 772

16 × 579

24 × 386

48 × 193

First multiples

9,264 · 18,528 (double) · 27,792 · 37,056 · 46,320 · 55,584 · 64,848 · 74,112 · 83,376 · 92,640

Sums & aliquot sequence

As consecutive integers: 3,087 + 3,088 + 3,089 274 + 275 + … + 305 49 + 50 + … + 144

Aliquot sequence: 9,264 → 14,792 → 13,603 → 285 → 195 → 141 → 51 → 21 → 11 → 1 → 0 — terminates at zero

Continued fraction of √n

√9,264 = [96; (4, 192)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: nine thousand two hundred sixty-four
Ordinal: 9264th
Binary: 10010000110000
Octal: 22060
Hexadecimal: 0x2430
Base64: JDA=
One's complement: 56,271 (16-bit)
Scientific notation: 9.264 × 10³
As a duration: 9,264 s = 2 hours, 34 minutes, 24 seconds

In other bases

ternary (3) 110201010

quaternary (4) 2100300

quinary (5) 244024

senary (6) 110520

septenary (7) 36003

nonary (9) 13633

undecimal (11) 6a62

duodecimal (12) 5440

tridecimal (13) 42a8

tetradecimal (14) 353a

pentadecimal (15) 2b29

As an angle

9,264° = 25 × 360° + 264°

264° ≈ 4.608 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): ͵θσξδʹ
Mayan (base 20): 𝋡·𝋣·𝋣·𝋤
Chinese: 九千二百六十四
Chinese (financial): 玖仟貳佰陸拾肆

In other modern scripts

Eastern Arabic ٩٢٦٤ Devanagari ९२६४ Bengali ৯২৬৪ Tamil ௯௨௬௪ Thai ๙๒๖๔ Tibetan ༩༢༦༤ Khmer ៩២៦៤ Lao ໙໒໖໔ Burmese ၉၂၆၄

Digit at this position in famous constants

π — Pi (π): Digit 9,264 = 3
e — Euler's number (e): Digit 9,264 = 1
φ — Golden ratio (φ): Digit 9,264 = 7
√2 — Pythagoras's (√2): Digit 9,264 = 6
ln 2 — Natural log of 2: Digit 9,264 = 1
γ — Euler-Mascheroni (γ): Digit 9,264 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 9264, here are decompositions:

7 + 9257 = 9264
23 + 9241 = 9264
37 + 9227 = 9264
43 + 9221 = 9264
61 + 9203 = 9264
83 + 9181 = 9264
103 + 9161 = 9264
107 + 9157 = 9264

Showing the first eight; more decompositions exist.

Hex color

#002430

RGB(0, 36, 48)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.36.48.

Address: 0.0.36.48
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.36.48

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

Musical pitch

Heard as a frequency, 9,264 Hz is closest to:

Concert pitch (A4 = 440 Hz): D9 (9397.3 Hz, -25¢)
Scientific pitch (C4 = 256 Hz): D9 (9195.2 Hz, +13¢)
Baroque pitch (A4 = 415 Hz): D♯9 (9390.4 Hz, -23¢)

Position in π

The digit sequence 9264 first appears in π at position 7,262 of the decimal expansion (the 7,262ordinal-suffix:nd 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 9264 on Pi Search ↗