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146,009

146,009 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.).

146,009 (one hundred forty-six thousand nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x23A59.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
900,641
Recamán's sequence
a(216,398) = 146,009
Square (n²)
21,318,628,081
Cube (n³)
3,112,711,567,478,729
Divisor count
2
σ(n) — sum of divisors
146,010
φ(n) — Euler's totient
146,008

Primality

146,009 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 146009
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 146,009)
1 × 146009
First multiples
146,009 · 292,018 (double) · 438,027 · 584,036 · 730,045 · 876,054 · 1,022,063 · 1,168,072 · 1,314,081 · 1,460,090

Sums & aliquot sequence

As a sum of two squares: 160² + 347²
As consecutive integers: 73,004 + 73,005

Continued fraction of √n

√146,009 = [382; (8, 1, 94, 1, 1, 1, 3, 2, 1, 47, 14, 2, 1, 1, 23, 3, 1, 1, 20, 11, 1, 8, 3, 2, …)]

Representations

In words
one hundred forty-six thousand nine
Ordinal
146009th
Binary
100011101001011001
Octal
435131
Hexadecimal
0x23A59
Base64
AjpZ
One's complement
4,294,821,286 (32-bit)
Scientific notation
1.46009 × 10⁵
As a duration
146,009 s = 1 day, 16 hours, 33 minutes, 29 seconds
In other bases
ternary (3) 21102021202
quaternary (4) 203221121
quinary (5) 14133014
senary (6) 3043545
septenary (7) 1145453
nonary (9) 242252
undecimal (11) 9a776
duodecimal (12) 705b5
tridecimal (13) 515c6
tetradecimal (14) 3b2d3
pentadecimal (15) 2d3de

As an angle

146,009° = 405 × 360° + 209°
209° ≈ 3.648 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρμϛθʹ
Mayan (base 20)
𝋲·𝋥·𝋠·𝋩
Chinese
一十四萬六千零九
Chinese (financial)
壹拾肆萬陸仟零玖
In other modern scripts
Eastern Arabic ١٤٦٠٠٩ Devanagari १४६००९ Bengali ১৪৬০০৯ Tamil ௧௪௬௦௦௯ Thai ๑๔๖๐๐๙ Tibetan ༡༤༦༠༠༩ Khmer ១៤៦០០៩ Lao ໑໔໖໐໐໙ Burmese ၁၄၆၀၀၉

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 146011.

Unicode codepoint
𣩙
CJK Unified Ideograph-23A59
U+23A59
Other letter (Lo)

UTF-8 encoding: F0 A3 A9 99 (4 bytes).

Hex color
#023A59
RGB(2, 58, 89)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.58.89.

Address
0.2.58.89
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.58.89

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 146,009 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.