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146,801

146,801 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.).

146,801 (one hundred forty-six thousand eight hundred one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x23D71.

Arithmetic Number Chen Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
108,641
Recamán's sequence
a(214,814) = 146,801
Square (n²)
21,550,533,601
Cube (n³)
3,163,639,883,160,401
Divisor count
2
σ(n) — sum of divisors
146,802
φ(n) — Euler's totient
146,800

Primality

146,801 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 146801
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 146,801)
1 × 146801
First multiples
146,801 · 293,602 (double) · 440,403 · 587,204 · 734,005 · 880,806 · 1,027,607 · 1,174,408 · 1,321,209 · 1,468,010

Sums & aliquot sequence

As a sum of two squares: 49² + 380²
As consecutive integers: 73,400 + 73,401

Continued fraction of √n

√146,801 = [383; (6, 1, 5, 3, 1, 1, 1, 18, 19, 9, 1, 1, 1, 5, 9, 2, 2, 21, 2, 24, 4, 2, 1, 23, …)]

Representations

In words
one hundred forty-six thousand eight hundred one
Ordinal
146801st
Binary
100011110101110001
Octal
436561
Hexadecimal
0x23D71
Base64
Aj1x
One's complement
4,294,820,494 (32-bit)
Scientific notation
1.46801 × 10⁵
As a duration
146,801 s = 1 day, 16 hours, 46 minutes, 41 seconds
In other bases
ternary (3) 21110101002
quaternary (4) 203311301
quinary (5) 14144201
senary (6) 3051345
septenary (7) 1150664
nonary (9) 243332
undecimal (11) a0326
duodecimal (12) 70b55
tridecimal (13) 51a85
tetradecimal (14) 3b6db
pentadecimal (15) 2d76b

As an angle

146,801° = 407 × 360° + 281°
281° ≈ 4.904 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺
Greek (Milesian)
͵ρμϛωαʹ
Mayan (base 20)
𝋲·𝋧·𝋠·𝋡
Chinese
一十四萬六千八百零一
Chinese (financial)
壹拾肆萬陸仟捌佰零壹
In other modern scripts
Eastern Arabic ١٤٦٨٠١ Devanagari १४६८०१ Bengali ১৪৬৮০১ Tamil ௧௪௬௮௦௧ Thai ๑๔๖๘๐๑ Tibetan ༡༤༦༨༠༡ Khmer ១៤៦៨០១ Lao ໑໔໖໘໐໑ Burmese ၁၄၆၈၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 146807.

Unicode codepoint
𣵱
CJK Unified Ideograph-23D71
U+23D71
Other letter (Lo)

UTF-8 encoding: F0 A3 B5 B1 (4 bytes).

Hex color
#023D71
RGB(2, 61, 113)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.61.113.

Address
0.2.61.113
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.61.113

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 146,801 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.