Live analysis

9,040

9,040 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.).

9,040 (nine thousand forty) is an even 4-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 5 × 113. Its proper divisors sum to 12,164, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2350.

Abundant Number Happy Number Odious Number Pernicious Number Practical Number Recamán's Sequence Refactorable Number Self Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

9,028 9,029 9,030 9,031 9,032 9,033 9,034 9,035 9,036 9,037 9,038 9,039 9,040 9,041 9,042 9,043 9,044 9,045 9,046 9,047 9,048 9,049 9,050 9,051 9,052

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 14 bits
Reversed: 409
Recamán's sequence: a(24,516) = 9,040
Square (n²): 81,721,600
Cube (n³): 738,763,264,000
Divisor count: 20
σ(n) — sum of divisors: 21,204
φ(n) — Euler's totient: 3,584
Sum of prime factors: 126

Primality

Prime factorization: 2 ⁴ × 5 × 113

Nearest primes: 9,029 (−11) · 9,041 (+1)

Divisors & multiples

All divisors (20)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 40 · 80 · 113 · 226 · 452 · 565 · 904 · 1130 · 1808 · 2260 · 4520 (half) · 9040

Aliquot sum (sum of proper divisors): 12,164

Factor pairs (a × b = 9,040)

1 × 9040

2 × 4520

4 × 2260

5 × 1808

8 × 1130

10 × 904

16 × 565

20 × 452

40 × 226

80 × 113

First multiples

9,040 · 18,080 (double) · 27,120 · 36,160 · 45,200 · 54,240 · 63,280 · 72,320 · 81,360 · 90,400

Sums & aliquot sequence

As a sum of two squares: 24² + 92² = 36² + 88²

As consecutive integers: 1,806 + 1,807 + 1,808 + 1,809 + 1,810 267 + 268 + … + 298 24 + 25 + … + 136

Aliquot sequence: 9,040 → 12,164 → 9,130 → 9,014 → 4,510 → 4,562 → 2,284 → 1,720 → 2,240 → 3,856 → 3,646 → 1,826 → 1,198 → 602 → 454 → 230 → 202 — unresolved within range

Continued fraction of √n

√9,040 = [95; (12, 1, 2, 20, 1, 3, 1, 2, 5, 1, 3, 2, 11, 2, 3, 1, 5, 2, 1, 3, 1, 20, 2, 1, …)]

Period length 26 — the block in parentheses repeats forever.

Representations

In words: nine thousand forty
Ordinal: 9040th
Binary: 10001101010000
Octal: 21520
Hexadecimal: 0x2350
Base64: I1A=
One's complement: 56,495 (16-bit)
Scientific notation: 9.04 × 10³
As a duration: 9,040 s = 2 hours, 30 minutes, 40 seconds

In other bases

ternary (3) 110101211

quaternary (4) 2031100

quinary (5) 242130

senary (6) 105504

septenary (7) 35233

nonary (9) 13354

undecimal (11) 6879

duodecimal (12) 5294

tridecimal (13) 4165

tetradecimal (14) 341a

pentadecimal (15) 2a2a

As an angle

9,040° = 25 × 360° + 40°

40° ≈ 0.698 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒌋𒌋 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆
Greek (Milesian): ͵θμʹ
Mayan (base 20): 𝋡·𝋢·𝋬·𝋠
Chinese: 九千零四十
Chinese (financial): 玖仟零肆拾

In other modern scripts

Eastern Arabic ٩٠٤٠ Devanagari ९०४० Bengali ৯০৪০ Tamil ௯௦௪௦ Thai ๙๐๔๐ Tibetan ༩༠༤༠ Khmer ៩០៤០ Lao ໙໐໔໐ Burmese ၉၀၄၀

Digit at this position in famous constants

π — Pi (π): Digit 9,040 = 4
e — Euler's number (e): Digit 9,040 = 8
φ — Golden ratio (φ): Digit 9,040 = 1
√2 — Pythagoras's (√2): Digit 9,040 = 4
ln 2 — Natural log of 2: Digit 9,040 = 5
γ — Euler-Mascheroni (γ): Digit 9,040 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 9040, here are decompositions:

11 + 9029 = 9040
29 + 9011 = 9040
41 + 8999 = 9040
71 + 8969 = 9040
89 + 8951 = 9040
107 + 8933 = 9040
173 + 8867 = 9040
179 + 8861 = 9040

Showing the first eight; more decompositions exist.

Unicode codepoint

⍐

Apl Functional Symbol Quad Upwards Arrow

U+2350

Other symbol (So)

UTF-8 encoding: E2 8D 90 (3 bytes).

Lookup U+2350 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#002350

RGB(0, 35, 80)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.35.80.

Address: 0.0.35.80
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.35.80

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

Musical pitch

Heard as a frequency, 9,040 Hz is closest to:

Concert pitch (A4 = 440 Hz): C♯9 (8869.8 Hz, +33¢)
Scientific pitch (C4 = 256 Hz): D9 (9195.2 Hz, -29¢)
Baroque pitch (A4 = 415 Hz): D9 (8863.3 Hz, +34¢)

Position in π

The digit sequence 9040 first appears in π at position 8,107 of the decimal expansion (the 8,107ordinal-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 9040 on Pi Search ↗