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146,221

146,221 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.).

146,221 (one hundred forty-six thousand two hundred twenty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x23B2D.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
16
Digit product
96
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
122,641
Recamán's sequence
a(215,974) = 146,221
Square (n²)
21,380,580,841
Cube (n³)
3,126,289,911,151,861
Divisor count
2
σ(n) — sum of divisors
146,222
φ(n) — Euler's totient
146,220

Primality

146,221 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 146221
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 146,221)
1 × 146221
First multiples
146,221 · 292,442 (double) · 438,663 · 584,884 · 731,105 · 877,326 · 1,023,547 · 1,169,768 · 1,315,989 · 1,462,210

Sums & aliquot sequence

As a sum of two squares: 114² + 365²
As consecutive integers: 73,110 + 73,111

Continued fraction of √n

√146,221 = [382; (2, 1, 1, 2, 1, 8, 3, 1, 1, 1, 2, 1, 3, 5, 12, 1, 1, 3, 1, 12, 1, 1, 1, 3, …)]

Representations

In words
one hundred forty-six thousand two hundred twenty-one
Ordinal
146221st
Binary
100011101100101101
Octal
435455
Hexadecimal
0x23B2D
Base64
Ajst
One's complement
4,294,821,074 (32-bit)
Scientific notation
1.46221 × 10⁵
As a duration
146,221 s = 1 day, 16 hours, 37 minutes, 1 second
In other bases
ternary (3) 21102120121
quaternary (4) 203230231
quinary (5) 14134341
senary (6) 3044541
septenary (7) 1146205
nonary (9) 242517
undecimal (11) 9a949
duodecimal (12) 70751
tridecimal (13) 5172a
tetradecimal (14) 3b405
pentadecimal (15) 2d4d1

As an angle

146,221° = 406 × 360° + 61°
61° ≈ 1.065 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓏺
Greek (Milesian)
͵ρμϛσκαʹ
Mayan (base 20)
𝋲·𝋥·𝋫·𝋡
Chinese
一十四萬六千二百二十一
Chinese (financial)
壹拾肆萬陸仟貳佰貳拾壹
In other modern scripts
Eastern Arabic ١٤٦٢٢١ Devanagari १४६२२१ Bengali ১৪৬২২১ Tamil ௧௪௬௨௨௧ Thai ๑๔๖๒๒๑ Tibetan ༡༤༦༢༢༡ Khmer ១៤៦២២១ Lao ໑໔໖໒໒໑ Burmese ၁၄၆၂၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𣬭
CJK Unified Ideograph-23B2D
U+23B2D
Other letter (Lo)

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

Hex color
#023B2D
RGB(2, 59, 45)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.59.45.

Address
0.2.59.45
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.59.45

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 146,221 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 146221 first appears in π at position 458,904 of the decimal expansion (the 458,904ordinal-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.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.