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Number

7,481

7,481 is a prime, odd.

7,481 (seven thousand four hundred eighty-one) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1D39.

Arithmetic Number Chen Prime Cousin Prime Cube-Free Deficient Number Emirp Evil Number Happy Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree

Interestingness

11 notable facts · grade A
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Properties

Parity
Odd
Digit count
4
Digit sum
20
Digit product
224
Digital root
2
Palindrome
No
Bit width
13 bits
Reversed
1,847
Recamán's sequence
a(11,065) = 7,481
Square (n²)
55,965,361
Cube (n³)
418,676,865,641
Divisor count
2
σ(n) — sum of divisors
7,482
φ(n) — Euler's totient
7,480

Primality

7,481 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 7481
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 7,481)
1 × 7481
First multiples
7,481 · 14,962 (double) · 22,443 · 29,924 · 37,405 · 44,886 · 52,367 · 59,848 · 67,329 · 74,810

Sums & aliquot sequence

As a sum of two squares: 16² + 85²
As consecutive integers: 3,740 + 3,741

Continued fraction of √n

√7,481 = [86; (2, 34, 10, 6, 1, 4, 1, 1, 4, 1, 6, 10, 34, 2, 172)]

Period length 15 — the block in parentheses repeats forever.

Representations

In words
seven thousand four hundred eighty-one
Ordinal
7481st
Binary
1110100111001
Octal
16471
Hexadecimal
0x1D39
Base64
HTk=
One's complement
58,054 (16-bit)
Scientific notation
7.481 × 10³
As a duration
7,481 s = 2 hours, 4 minutes, 41 seconds
In other bases
ternary (3) 101021002
quaternary (4) 1310321
quinary (5) 214411
senary (6) 54345
septenary (7) 30545
nonary (9) 11232
undecimal (11) 5691
duodecimal (12) 43b5
tridecimal (13) 3536
tetradecimal (14) 2a25
pentadecimal (15) 233b
Palindromic in base 6

As an angle

7,481° = 20 × 360° + 281°
281° ≈ 4.904 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ζυπαʹ
Mayan (base 20)
𝋲·𝋮·𝋡
Chinese
七千四百八十一
Chinese (financial)
柒仟肆佰捌拾壹
In other modern scripts
Eastern Arabic ٧٤٨١ Devanagari ७४८१ Bengali ৭৪৮১ Tamil ௭௪௮௧ Thai ๗๔๘๑ Tibetan ༧༤༨༡ Khmer ៧៤៨១ Lao ໗໔໘໑ Burmese ၇၄၈၁

Digit at this position in famous constants

π — Pi (π)
Digit 7,481 = 4
e — Euler's number (e)
Digit 7,481 = 5
φ — Golden ratio (φ)
Digit 7,481 = 0
√2 — Pythagoras's (√2)
Digit 7,481 = 3
ln 2 — Natural log of 2
Digit 7,481 = 0
γ — Euler-Mascheroni (γ)
Digit 7,481 = 3

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 7,477 (gap of 4)
  • Next prime: 7,487 (gap of 6)

Pair status: cousin with 7477, sexy with 7487.

Unicode codepoint
Modifier Letter Capital M
U+1D39
Modifier letter (Lm)

UTF-8 encoding: E1 B4 B9 (3 bytes).

Hex color
#001D39
RGB(0, 29, 57)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.29.57.

Address
0.0.29.57
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.29.57

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

Musical pitch

Heard as a frequency, 7,481 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): A♯8 (7458.6 Hz, +5¢)
  • Scientific pitch (C4 = 256 Hz): A♯8 (7298.2 Hz, +43¢)
  • Baroque pitch (A4 = 415 Hz): B8 (7453.1 Hz, +6¢)
Position in π

The digit sequence 7481 first appears in π at position 584 of the decimal expansion (the 584ordinal-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.

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.