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Number

16,451

16,451 is a prime, odd.

16,451 (sixteen thousand four hundred fifty-one) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x4043.

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

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
17
Digit product
120
Digital root
8
Palindrome
No
Bit width
15 bits
Reversed
15,461
Recamán's sequence
a(45,057) = 16,451
Square (n²)
270,635,401
Cube (n³)
4,452,222,981,851
Divisor count
2
σ(n) — sum of divisors
16,452
φ(n) — Euler's totient
16,450

Primality

16,451 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 16451
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 16,451)
1 × 16451
First multiples
16,451 · 32,902 (double) · 49,353 · 65,804 · 82,255 · 98,706 · 115,157 · 131,608 · 148,059 · 164,510

Sums & aliquot sequence

As consecutive integers: 8,225 + 8,226

Continued fraction of √n

√16,451 = [128; (3, 1, 4, 1, 2, 2, 2, 1, 1, 1, 127, 1, 1, 1, 2, 2, 2, 1, 4, 1, 3, 256)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words
sixteen thousand four hundred fifty-one
Ordinal
16451st
Binary
100000001000011
Octal
40103
Hexadecimal
0x4043
Base64
QEM=
One's complement
49,084 (16-bit)
Scientific notation
1.6451 × 10⁴
As a duration
16,451 s = 4 hours, 34 minutes, 11 seconds
In other bases
ternary (3) 211120022
quaternary (4) 10001003
quinary (5) 1011301
senary (6) 204055
septenary (7) 65651
nonary (9) 24508
undecimal (11) 113a6
duodecimal (12) 962b
tridecimal (13) 7646
tetradecimal (14) 5dd1
pentadecimal (15) 4d1b

As an angle

16,451° = 45 × 360° + 251°
251° ≈ 4.381 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ιϛυναʹ
Mayan (base 20)
𝋢·𝋡·𝋢·𝋫
Chinese
一萬六千四百五十一
Chinese (financial)
壹萬陸仟肆佰伍拾壹
In other modern scripts
Eastern Arabic ١٦٤٥١ Devanagari १६४५१ Bengali ১৬৪৫১ Tamil ௧௬௪௫௧ Thai ๑๖๔๕๑ Tibetan ༡༦༤༥༡ Khmer ១៦៤៥១ Lao ໑໖໔໕໑ Burmese ၁၆၄၅၁

Digit at this position in famous constants

π — Pi (π)
Digit 16,451 = 9
e — Euler's number (e)
Digit 16,451 = 1
φ — Golden ratio (φ)
Digit 16,451 = 2
√2 — Pythagoras's (√2)
Digit 16,451 = 2
ln 2 — Natural log of 2
Digit 16,451 = 7
γ — Euler-Mascheroni (γ)
Digit 16,451 = 9

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 16,447 (gap of 4)
  • Next prime: 16,453 (gap of 2)

Pair status: twin with 16453, cousin with 16447.

Unicode codepoint
CJK Unified Ideograph-4043
U+4043
Other letter (Lo)

UTF-8 encoding: E4 81 83 (3 bytes).

Hex color
#004043
RGB(0, 64, 67)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.64.67.

Address
0.0.64.67
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.64.67

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

Musical pitch

Heard as a frequency, 16,451 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): C10 (16744 Hz, -31¢)
  • Scientific pitch (C4 = 256 Hz): C10 (16384 Hz, +7¢)
  • Baroque pitch (A4 = 415 Hz): C♯10 (16731.8 Hz, -29¢)
Position in π

The digit sequence 16451 first appears in π at position 243,997 of the decimal expansion (the 243,997ordinal-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.