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135,727

135,727 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.).

135,727 (one hundred thirty-five thousand seven hundred twenty-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x2122F.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Evil Number Prime Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
25
Digit product
1,470
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
727,531
Square (n²)
18,421,818,529
Cube (n³)
2,500,338,163,485,583
Divisor count
2
σ(n) — sum of divisors
135,728
φ(n) — Euler's totient
135,726

Primality

135,727 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 135727
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 135,727)
1 × 135727
First multiples
135,727 · 271,454 (double) · 407,181 · 542,908 · 678,635 · 814,362 · 950,089 · 1,085,816 · 1,221,543 · 1,357,270

Sums & aliquot sequence

As consecutive integers: 67,863 + 67,864

Continued fraction of √n

√135,727 = [368; (2, 2, 3, 10, 1, 6, 1, 2, 5, 1, 5, 2, 2, 21, 1, 11, 1, 2, 1, 40, 5, 3, 1, 1, …)]

Representations

In words
one hundred thirty-five thousand seven hundred twenty-seven
Ordinal
135727th
Binary
100001001000101111
Octal
411057
Hexadecimal
0x2122F
Base64
AhIv
One's complement
4,294,831,568 (32-bit)
Scientific notation
1.35727 × 10⁵
As a duration
135,727 s = 1 day, 13 hours, 42 minutes, 7 seconds
In other bases
ternary (3) 20220011221
quaternary (4) 201020233
quinary (5) 13320402
senary (6) 2524211
septenary (7) 1103464
nonary (9) 226157
undecimal (11) 92a79
duodecimal (12) 66667
tridecimal (13) 49a17
tetradecimal (14) 3766b
pentadecimal (15) 2a337

As an angle

135,727° = 377 × 360° + 7°
7° ≈ 0.122 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλεψκζʹ
Mayan (base 20)
𝋰·𝋳·𝋦·𝋧
Chinese
一十三萬五千七百二十七
Chinese (financial)
壹拾參萬伍仟柒佰貳拾柒
In other modern scripts
Eastern Arabic ١٣٥٧٢٧ Devanagari १३५७२७ Bengali ১৩৫৭২৭ Tamil ௧௩௫௭௨௭ Thai ๑๓๕๗๒๗ Tibetan ༡༣༥༧༢༧ Khmer ១៣៥៧២៧ Lao ໑໓໕໗໒໗ Burmese ၁၃၅၇၂၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 135731, sexy with 135721.

Unicode codepoint
𡈯
CJK Unified Ideograph-2122F
U+2122F
Other letter (Lo)

UTF-8 encoding: F0 A1 88 AF (4 bytes).

Hex color
#02122F
RGB(2, 18, 47)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.18.47.

Address
0.2.18.47
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.18.47

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 135,727 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 135727 first appears in π at position 104,643 of the decimal expansion (the 104,643ordinal-suffix:rd 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.