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146,021

146,021 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.).

146,021 (one hundred forty-six thousand twenty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x23A65.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
120,641
Recamán's sequence
a(216,374) = 146,021
Square (n²)
21,322,132,441
Cube (n³)
3,113,479,101,167,261
Divisor count
2
σ(n) — sum of divisors
146,022
φ(n) — Euler's totient
146,020

Primality

146,021 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 146021
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 146,021)
1 × 146021
First multiples
146,021 · 292,042 (double) · 438,063 · 584,084 · 730,105 · 876,126 · 1,022,147 · 1,168,168 · 1,314,189 · 1,460,210

Sums & aliquot sequence

As a sum of two squares: 250² + 289²
As consecutive integers: 73,010 + 73,011

Continued fraction of √n

√146,021 = [382; (7, 1, 7, 5, 1, 8, 6, 2, 9, 1, 1, 2, 6, 38, 17, 1, 2, 1, 21, 11, 5, 5, 1, 1, …)]

Representations

In words
one hundred forty-six thousand twenty-one
Ordinal
146021st
Binary
100011101001100101
Octal
435145
Hexadecimal
0x23A65
Base64
Ajpl
One's complement
4,294,821,274 (32-bit)
Scientific notation
1.46021 × 10⁵
As a duration
146,021 s = 1 day, 16 hours, 33 minutes, 41 seconds
In other bases
ternary (3) 21102022012
quaternary (4) 203221211
quinary (5) 14133041
senary (6) 3044005
septenary (7) 1145501
nonary (9) 242265
undecimal (11) 9a787
duodecimal (12) 70605
tridecimal (13) 51605
tetradecimal (14) 3b301
pentadecimal (15) 2d3eb

As an angle

146,021° = 405 × 360° + 221°
221° ≈ 3.857 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓏺
Greek (Milesian)
͵ρμϛκαʹ
Mayan (base 20)
𝋲·𝋥·𝋡·𝋡
Chinese
一十四萬六千零二十一
Chinese (financial)
壹拾肆萬陸仟零貳拾壹
In other modern scripts
Eastern Arabic ١٤٦٠٢١ Devanagari १४६०२१ Bengali ১৪৬০২১ Tamil ௧௪௬௦௨௧ Thai ๑๔๖๐๒๑ Tibetan ༡༤༦༠༢༡ Khmer ១៤៦០២១ Lao ໑໔໖໐໒໑ Burmese ၁၄၆၀၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 146023.

Unicode codepoint
𣩥
CJK Unified Ideograph-23A65
U+23A65
Other letter (Lo)

UTF-8 encoding: F0 A3 A9 A5 (4 bytes).

Hex color
#023A65
RGB(2, 58, 101)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.58.101.

Address
0.2.58.101
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.58.101

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 146,021 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 146021 first appears in π at position 492,945 of the decimal expansion (the 492,945ordinal-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.