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135,829

135,829 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.).

135,829 (one hundred thirty-five thousand eight hundred twenty-nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x21295.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
28
Digit product
2,160
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
928,531
Square (n²)
18,449,517,241
Cube (n³)
2,505,979,477,327,789
Divisor count
2
σ(n) — sum of divisors
135,830
φ(n) — Euler's totient
135,828

Primality

135,829 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 135829
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 135,829)
1 × 135829
First multiples
135,829 · 271,658 (double) · 407,487 · 543,316 · 679,145 · 814,974 · 950,803 · 1,086,632 · 1,222,461 · 1,358,290

Sums & aliquot sequence

As a sum of two squares: 170² + 327²
As consecutive integers: 67,914 + 67,915

Continued fraction of √n

√135,829 = [368; (1, 1, 4, 1, 1, 17, 2, 2, 1, 38, 12, 3, 1, 6, 14, 3, 3, 1, 1, 2, 1, 6, 3, 3, …)]

Representations

In words
one hundred thirty-five thousand eight hundred twenty-nine
Ordinal
135829th
Binary
100001001010010101
Octal
411225
Hexadecimal
0x21295
Base64
AhKV
One's complement
4,294,831,466 (32-bit)
Scientific notation
1.35829 × 10⁵
As a duration
135,829 s = 1 day, 13 hours, 43 minutes, 49 seconds
In other bases
ternary (3) 20220022201
quaternary (4) 201022111
quinary (5) 13321304
senary (6) 2524501
septenary (7) 1104001
nonary (9) 226281
undecimal (11) 93061
duodecimal (12) 66731
tridecimal (13) 49a95
tetradecimal (14) 37701
pentadecimal (15) 2a3a4

As an angle

135,829° = 377 × 360° + 109°
109° ≈ 1.902 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλεωκθʹ
Mayan (base 20)
𝋰·𝋳·𝋫·𝋩
Chinese
一十三萬五千八百二十九
Chinese (financial)
壹拾參萬伍仟捌佰貳拾玖
In other modern scripts
Eastern Arabic ١٣٥٨٢٩ Devanagari १३५८२९ Bengali ১৩৫৮২৯ Tamil ௧௩௫௮௨௯ Thai ๑๓๕๘๒๙ Tibetan ༡༣༥༨༢༩ Khmer ១៣៥៨២៩ Lao ໑໓໕໘໒໙ Burmese ၁၃၅၈၂၉

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𡊕
CJK Unified Ideograph-21295
U+21295
Other letter (Lo)

UTF-8 encoding: F0 A1 8A 95 (4 bytes).

Hex color
#021295
RGB(2, 18, 149)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.18.149.

Address
0.2.18.149
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.18.149

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 135,829 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 135829 first appears in π at position 624,838 of the decimal expansion (the 624,838ordinal-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.