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145,021

145,021 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.).

145,021 (one hundred forty-five 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, 0x2367D.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
120,541
Recamán's sequence
a(218,374) = 145,021
Square (n²)
21,031,090,441
Cube (n³)
3,049,949,766,844,261
Divisor count
2
σ(n) — sum of divisors
145,022
φ(n) — Euler's totient
145,020

Primality

145,021 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 145021
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 145,021)
1 × 145021
First multiples
145,021 · 290,042 (double) · 435,063 · 580,084 · 725,105 · 870,126 · 1,015,147 · 1,160,168 · 1,305,189 · 1,450,210

Sums & aliquot sequence

As a sum of two squares: 214² + 315²
As consecutive integers: 72,510 + 72,511

Continued fraction of √n

√145,021 = [380; (1, 4, 2, 3, 1, 3, 2, 11, 1, 1, 1, 5, 4, 18, 2, 1, 29, 1, 3, 1, 4, 1, 1, 1, …)]

Representations

In words
one hundred forty-five thousand twenty-one
Ordinal
145021st
Binary
100011011001111101
Octal
433175
Hexadecimal
0x2367D
Base64
AjZ9
One's complement
4,294,822,274 (32-bit)
Scientific notation
1.45021 × 10⁵
As a duration
145,021 s = 1 day, 16 hours, 17 minutes, 1 second
In other bases
ternary (3) 21100221011
quaternary (4) 203121331
quinary (5) 14120041
senary (6) 3035221
septenary (7) 1142542
nonary (9) 240834
undecimal (11) 99a58
duodecimal (12) 6bb11
tridecimal (13) 51016
tetradecimal (14) 3abc9
pentadecimal (15) 2ce81

As an angle

145,021° = 402 × 360° + 301°
301° ≈ 5.253 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓏺
Greek (Milesian)
͵ρμεκαʹ
Mayan (base 20)
𝋲·𝋢·𝋫·𝋡
Chinese
一十四萬五千零二十一
Chinese (financial)
壹拾肆萬伍仟零貳拾壹
In other modern scripts
Eastern Arabic ١٤٥٠٢١ Devanagari १४५०२१ Bengali ১৪৫০২১ Tamil ௧௪௫௦௨௧ Thai ๑๔๕๐๒๑ Tibetan ༡༤༥༠༢༡ Khmer ១៤៥០២១ Lao ໑໔໕໐໒໑ Burmese ၁၄၅၀၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𣙽
CJK Unified Ideograph-2367D
U+2367D
Other letter (Lo)

UTF-8 encoding: F0 A3 99 BD (4 bytes).

Hex color
#02367D
RGB(2, 54, 125)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.54.125.

Address
0.2.54.125
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.54.125

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 145,021 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 145021 first appears in π at position 324,013 of the decimal expansion (the 324,013ordinal-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.