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146,849

146,849 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.).

146,849 (one hundred forty-six thousand eight hundred forty-nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x23DA1.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
32
Digit product
6,912
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
948,641
Recamán's sequence
a(214,718) = 146,849
Square (n²)
21,564,628,801
Cube (n³)
3,166,744,174,798,049
Divisor count
2
σ(n) — sum of divisors
146,850
φ(n) — Euler's totient
146,848

Primality

146,849 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 146849
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 146,849)
1 × 146849
First multiples
146,849 · 293,698 (double) · 440,547 · 587,396 · 734,245 · 881,094 · 1,027,943 · 1,174,792 · 1,321,641 · 1,468,490

Sums & aliquot sequence

As a sum of two squares: 232² + 305²
As consecutive integers: 73,424 + 73,425

Continued fraction of √n

√146,849 = [383; (4, 1, 3, 1, 2, 1, 3, 2, 2, 5, 1, 2, 1, 1, 2, 5, 4, 1, 5, 1, 39, 2, 15, 1, …)]

Representations

In words
one hundred forty-six thousand eight hundred forty-nine
Ordinal
146849th
Binary
100011110110100001
Octal
436641
Hexadecimal
0x23DA1
Base64
Aj2h
One's complement
4,294,820,446 (32-bit)
Scientific notation
1.46849 × 10⁵
As a duration
146,849 s = 1 day, 16 hours, 47 minutes, 29 seconds
In other bases
ternary (3) 21110102212
quaternary (4) 203312201
quinary (5) 14144344
senary (6) 3051505
septenary (7) 1151063
nonary (9) 243385
undecimal (11) a036a
duodecimal (12) 70b95
tridecimal (13) 51ac1
tetradecimal (14) 3b733
pentadecimal (15) 2d79e

As an angle

146,849° = 407 × 360° + 329°
329° ≈ 5.742 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρμϛωμθʹ
Mayan (base 20)
𝋲·𝋧·𝋢·𝋩
Chinese
一十四萬六千八百四十九
Chinese (financial)
壹拾肆萬陸仟捌佰肆拾玖
In other modern scripts
Eastern Arabic ١٤٦٨٤٩ Devanagari १४६८४९ Bengali ১৪৬৮৪৯ Tamil ௧௪௬௮௪௯ Thai ๑๔๖๘๔๙ Tibetan ༡༤༦༨༤༩ Khmer ១៤៦៨៤៩ Lao ໑໔໖໘໔໙ Burmese ၁၄၆၈၄၉

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 146843.

Unicode codepoint
𣶡
CJK Unified Ideograph-23Da1
U+23DA1
Other letter (Lo)

UTF-8 encoding: F0 A3 B6 A1 (4 bytes).

Hex color
#023DA1
RGB(2, 61, 161)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.61.161.

Address
0.2.61.161
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.61.161

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 146,849 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.