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Number

16,481

16,481 is a prime, odd.

16,481 (sixteen thousand four hundred eighty-one) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x4061.

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

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
20
Digit product
192
Digital root
2
Palindrome
No
Bit width
15 bits
Reversed
18,461
Recamán's sequence
a(44,997) = 16,481
Square (n²)
271,623,361
Cube (n³)
4,476,624,612,641
Divisor count
2
σ(n) — sum of divisors
16,482
φ(n) — Euler's totient
16,480

Primality

16,481 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 16481
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 16,481)
1 × 16481
First multiples
16,481 · 32,962 (double) · 49,443 · 65,924 · 82,405 · 98,886 · 115,367 · 131,848 · 148,329 · 164,810

Sums & aliquot sequence

As a sum of two squares: 55² + 116²
As consecutive integers: 8,240 + 8,241

Continued fraction of √n

√16,481 = [128; (2, 1, 1, 1, 4, 23, 7, 1, 50, 2, 9, 1, 3, 2, 4, 4, 2, 3, 1, 9, 2, 50, 1, 7, …)]

Period length 31 — the block in parentheses repeats forever.

Representations

In words
sixteen thousand four hundred eighty-one
Ordinal
16481st
Binary
100000001100001
Octal
40141
Hexadecimal
0x4061
Base64
QGE=
One's complement
49,054 (16-bit)
Scientific notation
1.6481 × 10⁴
As a duration
16,481 s = 4 hours, 34 minutes, 41 seconds
In other bases
ternary (3) 211121102
quaternary (4) 10001201
quinary (5) 1011411
senary (6) 204145
septenary (7) 66023
nonary (9) 24542
undecimal (11) 11423
duodecimal (12) 9655
tridecimal (13) 766a
tetradecimal (14) 6013
pentadecimal (15) 4d3b
Palindromic in base 9

As an angle

16,481° = 45 × 360° + 281°
281° ≈ 4.904 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ιϛυπαʹ
Mayan (base 20)
𝋢·𝋡·𝋤·𝋡
Chinese
一萬六千四百八十一
Chinese (financial)
壹萬陸仟肆佰捌拾壹
In other modern scripts
Eastern Arabic ١٦٤٨١ Devanagari १६४८१ Bengali ১৬৪৮১ Tamil ௧௬௪௮௧ Thai ๑๖๔๘๑ Tibetan ༡༦༤༨༡ Khmer ១៦៤៨១ Lao ໑໖໔໘໑ Burmese ၁၆၄၈၁

Digit at this position in famous constants

π — Pi (π)
Digit 16,481 = 1
e — Euler's number (e)
Digit 16,481 = 6
φ — Golden ratio (φ)
Digit 16,481 = 3
√2 — Pythagoras's (√2)
Digit 16,481 = 3
ln 2 — Natural log of 2
Digit 16,481 = 9
γ — Euler-Mascheroni (γ)
Digit 16,481 = 8

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 16,477 (gap of 4)
  • Next prime: 16,487 (gap of 6)

Pair status: cousin with 16477, sexy with 16487.

Unicode codepoint
CJK Unified Ideograph-4061
U+4061
Other letter (Lo)

UTF-8 encoding: E4 81 A1 (3 bytes).

Hex color
#004061
RGB(0, 64, 97)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.64.97.

Address
0.0.64.97
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.64.97

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

Musical pitch

Heard as a frequency, 16,481 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): C10 (16744 Hz, -27¢)
  • Scientific pitch (C4 = 256 Hz): C10 (16384 Hz, +10¢)
  • Baroque pitch (A4 = 415 Hz): C♯10 (16731.8 Hz, -26¢)
Position in π

The digit sequence 16481 first appears in π at position 183,650 of the decimal expansion (the 183,650ordinal-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.