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132,257

132,257 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.).

132,257 (one hundred thirty-two thousand two hundred fifty-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x204A1.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
20
Digit product
420
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
752,231
Recamán's sequence
a(227,858) = 132,257
Square (n²)
17,491,914,049
Cube (n³)
2,313,428,076,378,593
Divisor count
2
σ(n) — sum of divisors
132,258
φ(n) — Euler's totient
132,256

Primality

132,257 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 132257
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 132,257)
1 × 132257
First multiples
132,257 · 264,514 (double) · 396,771 · 529,028 · 661,285 · 793,542 · 925,799 · 1,058,056 · 1,190,313 · 1,322,570

Sums & aliquot sequence

As a sum of two squares: 44² + 361²
As consecutive integers: 66,128 + 66,129

Continued fraction of √n

√132,257 = [363; (1, 2, 22, 2, 1, 1, 9, 2, 1, 2, 1, 4, 17, 1, 1, 8, 4, 65, 1, 7, 3, 1, 1, 3, …)]

Representations

In words
one hundred thirty-two thousand two hundred fifty-seven
Ordinal
132257th
Binary
100000010010100001
Octal
402241
Hexadecimal
0x204A1
Base64
AgSh
One's complement
4,294,835,038 (32-bit)
Scientific notation
1.32257 × 10⁵
As a duration
132,257 s = 1 day, 12 hours, 44 minutes, 17 seconds
In other bases
ternary (3) 20201102102
quaternary (4) 200102201
quinary (5) 13213012
senary (6) 2500145
septenary (7) 1060406
nonary (9) 221372
undecimal (11) 90404
duodecimal (12) 64655
tridecimal (13) 48278
tetradecimal (14) 362ad
pentadecimal (15) 292c2

As an angle

132,257° = 367 × 360° + 137°
137° ≈ 2.391 rad

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλβσνζʹ
Mayan (base 20)
𝋰·𝋪·𝋬·𝋱
Chinese
一十三萬二千二百五十七
Chinese (financial)
壹拾參萬貳仟貳佰伍拾柒
In other modern scripts
Eastern Arabic ١٣٢٢٥٧ Devanagari १३२२५७ Bengali ১৩২২৫৭ Tamil ௧௩௨௨௫௭ Thai ๑๓๒๒๕๗ Tibetan ༡༣༢༢༥༧ Khmer ១៣២២៥៧ Lao ໑໓໒໒໕໗ Burmese ၁၃၂၂၅၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 132263.

Unicode codepoint
𠒡
CJK Unified Ideograph-204A1
U+204A1
Other letter (Lo)

UTF-8 encoding: F0 A0 92 A1 (4 bytes).

Hex color
#0204A1
RGB(2, 4, 161)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.4.161.

Address
0.2.4.161
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.4.161

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 132,257 and was likely granted around 1872.

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

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.