number.wiki
Number

16,301

16,301 is a prime, odd.

16,301 (sixteen thousand three hundred one) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x3FAD.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
14 bits
Reversed
10,361
Recamán's sequence
a(18,110) = 16,301
Square (n²)
265,722,601
Cube (n³)
4,331,544,118,901
Divisor count
2
σ(n) — sum of divisors
16,302
φ(n) — Euler's totient
16,300

Primality

16,301 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 16301
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 16,301)
1 × 16301
First multiples
16,301 · 32,602 (double) · 48,903 · 65,204 · 81,505 · 97,806 · 114,107 · 130,408 · 146,709 · 163,010

Sums & aliquot sequence

As a sum of two squares: 26² + 125²
As consecutive integers: 8,150 + 8,151

Continued fraction of √n

√16,301 = [127; (1, 2, 12, 2, 3, 3, 1, 1, 1, 3, 1, 2, 4, 1, 1, 4, 2, 1, 3, 1, 1, 1, 3, 3, …)]

Period length 29 — the block in parentheses repeats forever.

Representations

In words
sixteen thousand three hundred one
Ordinal
16301st
Binary
11111110101101
Octal
37655
Hexadecimal
0x3FAD
Base64
P60=
One's complement
49,234 (16-bit)
Scientific notation
1.6301 × 10⁴
As a duration
16,301 s = 4 hours, 31 minutes, 41 seconds
In other bases
ternary (3) 211100202
quaternary (4) 3332231
quinary (5) 1010201
senary (6) 203245
septenary (7) 65345
nonary (9) 24322
undecimal (11) 1127a
duodecimal (12) 9525
tridecimal (13) 755c
tetradecimal (14) 5d25
pentadecimal (15) 4c6b

As an angle

16,301° = 45 × 360° + 101°
101° ≈ 1.763 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓏺
Greek (Milesian)
͵ιϛταʹ
Mayan (base 20)
𝋢·𝋠·𝋯·𝋡
Chinese
一萬六千三百零一
Chinese (financial)
壹萬陸仟參佰零壹
In other modern scripts
Eastern Arabic ١٦٣٠١ Devanagari १६३०१ Bengali ১৬৩০১ Tamil ௧௬௩௦௧ Thai ๑๖๓๐๑ Tibetan ༡༦༣༠༡ Khmer ១៦៣០១ Lao ໑໖໓໐໑ Burmese ၁၆၃၀၁

Digit at this position in famous constants

π — Pi (π)
Digit 16,301 = 8
e — Euler's number (e)
Digit 16,301 = 3
φ — Golden ratio (φ)
Digit 16,301 = 7
√2 — Pythagoras's (√2)
Digit 16,301 = 2
ln 2 — Natural log of 2
Digit 16,301 = 7
γ — Euler-Mascheroni (γ)
Digit 16,301 = 5

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 16,273 (gap of 28)
  • Next prime: 16,319 (gap of 18)
Unicode codepoint
CJK Unified Ideograph-3Fad
U+3FAD
Other letter (Lo)

UTF-8 encoding: E3 BE AD (3 bytes).

Hex color
#003FAD
RGB(0, 63, 173)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.63.173.

Address
0.0.63.173
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.63.173

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

Musical pitch

Heard as a frequency, 16,301 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): C10 (16744 Hz, -46¢ — about midway to B9)
  • Scientific pitch (C4 = 256 Hz): C10 (16384 Hz, -9¢)
  • Baroque pitch (A4 = 415 Hz): C♯10 (16731.8 Hz, -45¢ — about midway to C10)
Position in π

The digit sequence 16301 first appears in π at position 46,885 of the decimal expansion (the 46,885ordinal-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.