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Number

33,161

33,161 is a prime, odd.

33,161 (thirty-three thousand one hundred sixty-one) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x8189.

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

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
14
Digit product
54
Digital root
5
Palindrome
No
Bit width
16 bits
Reversed
16,133
Recamán's sequence
a(27,885) = 33,161
Square (n²)
1,099,651,921
Cube (n³)
36,465,557,352,281
Divisor count
2
σ(n) — sum of divisors
33,162
φ(n) — Euler's totient
33,160

Primality

33,161 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 33161
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 33,161)
1 × 33161
First multiples
33,161 · 66,322 (double) · 99,483 · 132,644 · 165,805 · 198,966 · 232,127 · 265,288 · 298,449 · 331,610

Sums & aliquot sequence

As a sum of two squares: 20² + 181²
As consecutive integers: 16,580 + 16,581

Continued fraction of √n

√33,161 = [182; (9, 1, 5, 3, 1, 1, 1, 44, 1, 7, 1, 9, 1, 1, 14, 22, 1, 2, 3, 1, 3, 15, 1, 1, …)]

Representations

In words
thirty-three thousand one hundred sixty-one
Ordinal
33161st
Binary
1000000110001001
Octal
100611
Hexadecimal
0x8189
Base64
gYk=
One's complement
32,374 (16-bit)
Scientific notation
3.3161 × 10⁴
As a duration
33,161 s = 9 hours, 12 minutes, 41 seconds
In other bases
ternary (3) 1200111012
quaternary (4) 20012021
quinary (5) 2030121
senary (6) 413305
septenary (7) 165452
nonary (9) 50435
undecimal (11) 22a07
duodecimal (12) 17235
tridecimal (13) 1212b
tetradecimal (14) c129
pentadecimal (15) 9c5b

As an angle

33,161° = 92 × 360° + 41°
41° ≈ 0.716 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵λγρξαʹ
Mayan (base 20)
𝋤·𝋢·𝋲·𝋡
Chinese
三萬三千一百六十一
Chinese (financial)
參萬參仟壹佰陸拾壹
In other modern scripts
Eastern Arabic ٣٣١٦١ Devanagari ३३१६१ Bengali ৩৩১৬১ Tamil ௩௩௧௬௧ Thai ๓๓๑๖๑ Tibetan ༣༣༡༦༡ Khmer ៣៣១៦១ Lao ໓໓໑໖໑ Burmese ၃၃၁၆၁

Digit at this position in famous constants

π — Pi (π)
Digit 33,161 = 5
e — Euler's number (e)
Digit 33,161 = 6
φ — Golden ratio (φ)
Digit 33,161 = 6
√2 — Pythagoras's (√2)
Digit 33,161 = 1
ln 2 — Natural log of 2
Digit 33,161 = 7
γ — Euler-Mascheroni (γ)
Digit 33,161 = 5

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 33,151 (gap of 10)
  • Next prime: 33,179 (gap of 18)
Unicode codepoint
CJK Unified Ideograph-8189
U+8189
Other letter (Lo)

UTF-8 encoding: E8 86 89 (3 bytes).

Hex color
#008189
RGB(0, 129, 137)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.129.137.

Address
0.0.129.137
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.129.137

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

Position in π

The digit sequence 33161 first appears in π at position 90,937 of the decimal expansion (the 90,937ordinal-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.