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146,057

146,057 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.).

146,057 (one hundred forty-six thousand fifty-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x23A89.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
23
Digit product
0
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
750,641
Recamán's sequence
a(216,302) = 146,057
Square (n²)
21,332,647,249
Cube (n³)
3,115,782,459,247,193
Divisor count
2
σ(n) — sum of divisors
146,058
φ(n) — Euler's totient
146,056

Primality

146,057 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 146057
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 146,057)
1 × 146057
First multiples
146,057 · 292,114 (double) · 438,171 · 584,228 · 730,285 · 876,342 · 1,022,399 · 1,168,456 · 1,314,513 · 1,460,570

Sums & aliquot sequence

As a sum of two squares: 139² + 356²
As consecutive integers: 73,028 + 73,029

Continued fraction of √n

√146,057 = [382; (5, 1, 2, 1, 13, 1, 2, 6, 1, 2, 23, 1, 1, 6, 3, 5, 2, 3, 15, 3, 4, 2, 1, 3, …)]

Representations

In words
one hundred forty-six thousand fifty-seven
Ordinal
146057th
Binary
100011101010001001
Octal
435211
Hexadecimal
0x23A89
Base64
AjqJ
One's complement
4,294,821,238 (32-bit)
Scientific notation
1.46057 × 10⁵
As a duration
146,057 s = 1 day, 16 hours, 34 minutes, 17 seconds
In other bases
ternary (3) 21102100112
quaternary (4) 203222021
quinary (5) 14133212
senary (6) 3044105
septenary (7) 1145552
nonary (9) 242315
undecimal (11) 9a80a
duodecimal (12) 70635
tridecimal (13) 51632
tetradecimal (14) 3b329
pentadecimal (15) 2d422

As an angle

146,057° = 405 × 360° + 257°
257° ≈ 4.485 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρμϛνζʹ
Mayan (base 20)
𝋲·𝋥·𝋢·𝋱
Chinese
一十四萬六千零五十七
Chinese (financial)
壹拾肆萬陸仟零伍拾柒
In other modern scripts
Eastern Arabic ١٤٦٠٥٧ Devanagari १४६०५७ Bengali ১৪৬০৫৭ Tamil ௧௪௬௦௫௭ Thai ๑๔๖๐๕๗ Tibetan ༡༤༦༠༥༧ Khmer ១៤៦០៥៧ Lao ໑໔໖໐໕໗ Burmese ၁၄၆၀၅၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 146059, sexy with 146051.

Unicode codepoint
𣪉
CJK Unified Ideograph-23A89
U+23A89
Other letter (Lo)

UTF-8 encoding: F0 A3 AA 89 (4 bytes).

Hex color
#023A89
RGB(2, 58, 137)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.58.137.

Address
0.2.58.137
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.58.137

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 146,057 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 146057 first appears in π at position 212,044 of the decimal expansion (the 212,044ordinal-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.