Live analysis

7,040

7,040 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.).

7,040 (seven thousand forty) is an even 4-digit number. It is a composite number with 32 divisors, and factors as 2⁷ × 5 × 11. Its proper divisors sum to 11,320, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1B80.

Abundant Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

7,028 7,029 7,030 7,031 7,032 7,033 7,034 7,035 7,036 7,037 7,038 7,039 7,040 7,041 7,042 7,043 7,044 7,045 7,046 7,047 7,048 7,049 7,050 7,051 7,052

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 11
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 13 bits
Reversed: 407
Recamán's sequence: a(2,003) = 7,040
Square (n²): 49,561,600
Cube (n³): 348,913,664,000
Divisor count: 32
σ(n) — sum of divisors: 18,360
φ(n) — Euler's totient: 2,560
Sum of prime factors: 30

Primality

Prime factorization: 2 ⁷ × 5 × 11

Nearest primes: 7,039 (−1) · 7,043 (+3)

Divisors & multiples

All divisors (32)

1 · 2 · 4 · 5 · 8 · 10 · 11 · 16 · 20 · 22 · 32 · 40 · 44 · 55 · 64 · 80 · 88 · 110 · 128 · 160 · 176 · 220 · 320 · 352 · 440 · 640 · 704 · 880 · 1408 · 1760 · 3520 (half) · 7040

Aliquot sum (sum of proper divisors): 11,320

Factor pairs (a × b = 7,040)

1 × 7040

2 × 3520

4 × 1760

5 × 1408

8 × 880

10 × 704

11 × 640

16 × 440

20 × 352

22 × 320

32 × 220

40 × 176

44 × 160

55 × 128

64 × 110

80 × 88

First multiples

7,040 · 14,080 (double) · 21,120 · 28,160 · 35,200 · 42,240 · 49,280 · 56,320 · 63,360 · 70,400

Sums & aliquot sequence

As consecutive integers: 1,406 + 1,407 + 1,408 + 1,409 + 1,410 635 + 636 + … + 645 101 + 102 + … + 155

Aliquot sequence: 7,040 → 11,320 → 14,240 → 19,780 → 24,572 → 18,436 → 16,844 → 12,640 → 17,600 → 29,644 → 22,240 → 30,680 → 44,920 → 56,240 → 85,120 → 159,680 → 221,320 — unresolved within range

Continued fraction of √n

√7,040 = [83; (1, 9, 2, 41, 2, 9, 1, 166)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words: seven thousand forty
Ordinal: 7040th
Binary: 1101110000000
Octal: 15600
Hexadecimal: 0x1B80
Base64: G4A=
One's complement: 58,495 (16-bit)
Scientific notation: 7.04 × 10³
As a duration: 7,040 s = 1 hour, 57 minutes, 20 seconds

In other bases

ternary (3) 100122202

quaternary (4) 1232000

quinary (5) 211130

senary (6) 52332

septenary (7) 26345

nonary (9) 10582

undecimal (11) 5320

duodecimal (12) 40a8

tridecimal (13) 3287

tetradecimal (14) 27cc

pentadecimal (15) 2145

As an angle

7,040° = 19 × 360° + 200°

200° ≈ 3.491 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆
Greek (Milesian): ͵ζμʹ
Mayan (base 20): 𝋱·𝋬·𝋠
Chinese: 七千零四十
Chinese (financial): 柒仟零肆拾

In other modern scripts

Eastern Arabic ٧٠٤٠ Devanagari ७०४० Bengali ৭০৪০ Tamil ௭௦௪௦ Thai ๗๐๔๐ Tibetan ༧༠༤༠ Khmer ៧០៤០ Lao ໗໐໔໐ Burmese ၇၀၄၀

Digit at this position in famous constants

π — Pi (π): Digit 7,040 = 7
e — Euler's number (e): Digit 7,040 = 4
φ — Golden ratio (φ): Digit 7,040 = 8
√2 — Pythagoras's (√2): Digit 7,040 = 7
ln 2 — Natural log of 2: Digit 7,040 = 0
γ — Euler-Mascheroni (γ): Digit 7,040 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 7040, here are decompositions:

13 + 7027 = 7040
43 + 6997 = 7040
73 + 6967 = 7040
79 + 6961 = 7040
157 + 6883 = 7040
199 + 6841 = 7040
211 + 6829 = 7040
277 + 6763 = 7040

Showing the first eight; more decompositions exist.

Unicode codepoint

ᮀ

Sundanese Sign Panyecek

U+1B80

Non-spacing mark (Mn)

UTF-8 encoding: E1 AE 80 (3 bytes).

Lookup U+1B80 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#001B80

RGB(0, 27, 128)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.27.128.

Address: 0.0.27.128
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.27.128

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

Musical pitch

Heard as a frequency, 7,040 Hz is closest to:

Concert pitch (A4 = 440 Hz): A8 (7040 Hz, exact)
Scientific pitch (C4 = 256 Hz): A8 (6888.6 Hz, +38¢)
Baroque pitch (A4 = 415 Hz): A♯8 (7034.8 Hz, +1¢)

Position in π

The digit sequence 7040 first appears in π at position 4,888 of the decimal expansion (the 4,888ordinal-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 7040 on Pi Search ↗