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146,273

146,273 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.).

146,273 (one hundred forty-six thousand two hundred seventy-three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x23B61.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
23
Digit product
1,008
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
372,641
Recamán's sequence
a(215,870) = 146,273
Square (n²)
21,395,790,529
Cube (n³)
3,129,626,468,048,417
Divisor count
2
σ(n) — sum of divisors
146,274
φ(n) — Euler's totient
146,272

Primality

146,273 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 146273
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 146,273)
1 × 146273
First multiples
146,273 · 292,546 (double) · 438,819 · 585,092 · 731,365 · 877,638 · 1,023,911 · 1,170,184 · 1,316,457 · 1,462,730

Sums & aliquot sequence

As a sum of two squares: 247² + 292²
As consecutive integers: 73,136 + 73,137

Continued fraction of √n

√146,273 = [382; (2, 5, 3, 1, 39, 2, 108, 1, 3, 1, 1, 6, 1, 1, 2, 5, 2, 1, 4, 15, 2, 1, 1, 13, …)]

Representations

In words
one hundred forty-six thousand two hundred seventy-three
Ordinal
146273rd
Binary
100011101101100001
Octal
435541
Hexadecimal
0x23B61
Base64
Ajth
One's complement
4,294,821,022 (32-bit)
Scientific notation
1.46273 × 10⁵
As a duration
146,273 s = 1 day, 16 hours, 37 minutes, 53 seconds
In other bases
ternary (3) 21102122112
quaternary (4) 203231201
quinary (5) 14140043
senary (6) 3045105
septenary (7) 1146311
nonary (9) 242575
undecimal (11) 9a996
duodecimal (12) 70795
tridecimal (13) 5176a
tetradecimal (14) 3b441
pentadecimal (15) 2d518

As an angle

146,273° = 406 × 360° + 113°
113° ≈ 1.972 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρμϛσογʹ
Mayan (base 20)
𝋲·𝋥·𝋭·𝋭
Chinese
一十四萬六千二百七十三
Chinese (financial)
壹拾肆萬陸仟貳佰柒拾參
In other modern scripts
Eastern Arabic ١٤٦٢٧٣ Devanagari १४६२७३ Bengali ১৪৬২৭৩ Tamil ௧௪௬௨௭௩ Thai ๑๔๖๒๗๓ Tibetan ༡༤༦༢༧༣ Khmer ១៤៦២៧៣ Lao ໑໔໖໒໗໓ Burmese ၁၄၆၂၇၃

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𣭡
CJK Unified Ideograph-23B61
U+23B61
Other letter (Lo)

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

Hex color
#023B61
RGB(2, 59, 97)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.59.97.

Address
0.2.59.97
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.59.97

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 146,273 and was likely granted around 1873.

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

Position in π

The digit sequence 146273 first appears in π at position 559,509 of the decimal expansion (the 559,509ordinal-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.