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Number

16,001

16,001 is a prime, odd.

Arithmetic Number Chen Prime Deficient Number Emirp Flippable Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Self Number Sexy Prime Sophie Germain Prime Squarefree

Properties

Parity
Odd
Digit count
5
Digit sum
8
Digit product
0
Digital root
8
Palindrome
No
Bit width
14 bits
Reversed
10,061
Flips to (rotate 180°)
10,091
Recamán's sequence
a(45,313) = 16,001
Square (n²)
256,032,001
Cube (n³)
4,096,768,048,001
Divisor count
2
σ(n) — sum of divisors
16,002
φ(n) — Euler's totient
16,000

Primality

16,001 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 16001
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 16,001)
1 × 16001
First multiples
16,001 · 32,002 (double) · 48,003 · 64,004 · 80,005 · 96,006 · 112,007 · 128,008 · 144,009 · 160,010

Sums & aliquot sequence

As a sum of two squares: 25² + 124²
As consecutive integers: 8,000 + 8,001

Representations

In words
sixteen thousand one
Ordinal
16001st
Binary
11111010000001
Octal
37201
Hexadecimal
0x3E81
Base64
PoE=
One's complement
49,534 (16-bit)
In other bases
ternary (3) 210221122
quaternary (4) 3322001
quinary (5) 1003001
senary (6) 202025
septenary (7) 64436
nonary (9) 23848
undecimal (11) 11027
duodecimal (12) 9315
tridecimal (13) 738b
tetradecimal (14) 5b8d
pentadecimal (15) 4b1b

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓏺
Greek (Milesian)
͵ιϛαʹ
Mayan (base 20)
𝋢·𝋠·𝋠·𝋡
Chinese
一萬六千零一
Chinese (financial)
壹萬陸仟零壹
In other modern scripts
Eastern Arabic ١٦٠٠١ Devanagari १६००१ Bengali ১৬০০১ Tamil ௧௬௦௦௧ Thai ๑๖๐๐๑ Tibetan ༡༦༠༠༡ Khmer ១៦០០១ Lao ໑໖໐໐໑ Burmese ၁၆၀၀၁

Digit at this position in famous constants

π — Pi (π)
Digit 16,001 = 0
e — Euler's number (e)
Digit 16,001 = 3
φ — Golden ratio (φ)
Digit 16,001 = 2
√2 — Pythagoras's (√2)
Digit 16,001 = 6
ln 2 — Natural log of 2
Digit 16,001 = 4
γ — Euler-Mascheroni (γ)
Digit 16,001 = 6

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 15,991 (gap of 10)
  • Next prime: 16,007 (gap of 6)

Pair status: sexy with 16007.

Unicode codepoint
CJK Unified Ideograph-3E81
U+3E81
Other letter (Lo)

UTF-8 encoding: E3 BA 81 (3 bytes).

Hex color
#003E81
RGB(0, 62, 129)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.62.129.

Address
0.0.62.129
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.62.129

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

Position in π

The digit sequence 16001 first appears in π at position 197,430 of the decimal expansion (the 197,430ordinal-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.