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135,841

135,841 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.).

135,841 (one hundred thirty-five thousand eight hundred forty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x212A1.

Arithmetic Number Chen Prime Cube-Free Deficient Number Emirp Evil Number Prime Pythagorean Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
22
Digit product
480
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
148,531
Square (n²)
18,452,777,281
Cube (n³)
2,506,643,718,628,321
Divisor count
2
σ(n) — sum of divisors
135,842
φ(n) — Euler's totient
135,840

Primality

135,841 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 135841
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 135,841)
1 × 135841
First multiples
135,841 · 271,682 (double) · 407,523 · 543,364 · 679,205 · 815,046 · 950,887 · 1,086,728 · 1,222,569 · 1,358,410

Sums & aliquot sequence

As a sum of two squares: 79² + 360²
As consecutive integers: 67,920 + 67,921

Continued fraction of √n

√135,841 = [368; (1, 1, 3, 3, 1, 1, 2, 1, 8, 2, 45, 1, 1, 2, 18, 1, 1, 146, 1, 10, 1, 1, 9, 1, …)]

Representations

In words
one hundred thirty-five thousand eight hundred forty-one
Ordinal
135841st
Binary
100001001010100001
Octal
411241
Hexadecimal
0x212A1
Base64
AhKh
One's complement
4,294,831,454 (32-bit)
Scientific notation
1.35841 × 10⁵
As a duration
135,841 s = 1 day, 13 hours, 44 minutes, 1 second
In other bases
ternary (3) 20220100011
quaternary (4) 201022201
quinary (5) 13321331
senary (6) 2524521
septenary (7) 1104016
nonary (9) 226304
undecimal (11) 93072
duodecimal (12) 66741
tridecimal (13) 49aa4
tetradecimal (14) 3770d
pentadecimal (15) 2a3b1

As an angle

135,841° = 377 × 360° + 121°
121° ≈ 2.112 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ρλεωμαʹ
Mayan (base 20)
𝋰·𝋳·𝋬·𝋡
Chinese
一十三萬五千八百四十一
Chinese (financial)
壹拾參萬伍仟捌佰肆拾壹
In other modern scripts
Eastern Arabic ١٣٥٨٤١ Devanagari १३५८४१ Bengali ১৩৫৮৪১ Tamil ௧௩௫௮௪௧ Thai ๑๓๕๘๔๑ Tibetan ༡༣༥༨༤༡ Khmer ១៣៥៨៤១ Lao ໑໓໕໘໔໑ Burmese ၁၃၅၈၄၁

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𡊡
CJK Unified Ideograph-212A1
U+212A1
Other letter (Lo)

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

Hex color
#0212A1
RGB(2, 18, 161)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.18.161.

Address
0.2.18.161
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.18.161

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 135,841 and was likely granted around 1872.

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

Position in π

The digit sequence 135841 first appears in π at position 111,346 of the decimal expansion (the 111,346ordinal-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.