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146,033

146,033 is a prime, odd.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

146,033 (one hundred forty-six thousand thirty-three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x23A71.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
330,641
Recamán's sequence
a(216,350) = 146,033
Square (n²)
21,325,637,089
Cube (n³)
3,114,246,761,017,937
Divisor count
2
σ(n) — sum of divisors
146,034
φ(n) — Euler's totient
146,032

Primality

146,033 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 146033
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 146,033)
1 × 146033
First multiples
146,033 · 292,066 (double) · 438,099 · 584,132 · 730,165 · 876,198 · 1,022,231 · 1,168,264 · 1,314,297 · 1,460,330

Sums & aliquot sequence

As a sum of two squares: 103² + 368²
As consecutive integers: 73,016 + 73,017

Continued fraction of √n

√146,033 = [382; (7, 95, 2, 1, 1, 4, 1, 46, 1, 17, 1, 1, 1, 23, 4, 2, 12, 11, 1, 6, 4, 2, 3, 5, …)]

Representations

In words
one hundred forty-six thousand thirty-three
Ordinal
146033rd
Binary
100011101001110001
Octal
435161
Hexadecimal
0x23A71
Base64
Ajpx
One's complement
4,294,821,262 (32-bit)
Scientific notation
1.46033 × 10⁵
As a duration
146,033 s = 1 day, 16 hours, 33 minutes, 53 seconds
In other bases
ternary (3) 21102022122
quaternary (4) 203221301
quinary (5) 14133113
senary (6) 3044025
septenary (7) 1145516
nonary (9) 242278
undecimal (11) 9a798
duodecimal (12) 70615
tridecimal (13) 51614
tetradecimal (14) 3b30d
pentadecimal (15) 2d408

As an angle

146,033° = 405 × 360° + 233°
233° ≈ 4.067 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρμϛλγʹ
Mayan (base 20)
𝋲·𝋥·𝋡·𝋭
Chinese
一十四萬六千零三十三
Chinese (financial)
壹拾肆萬陸仟零參拾參
In other modern scripts
Eastern Arabic ١٤٦٠٣٣ Devanagari १४६०३३ Bengali ১৪৬০৩৩ Tamil ௧௪௬௦௩௩ Thai ๑๔๖๐๓๓ Tibetan ༡༤༦༠༣༣ Khmer ១៤៦០៣៣ Lao ໑໔໖໐໓໓ Burmese ၁၄၆၀၃၃

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𣩱
CJK Unified Ideograph-23A71
U+23A71
Other letter (Lo)

UTF-8 encoding: F0 A3 A9 B1 (4 bytes).

Hex color
#023A71
RGB(2, 58, 113)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.58.113.

Address
0.2.58.113
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.58.113

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

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 146,033 and was likely granted around 1873.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

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.