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135,731

135,731 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.).

135,731 (one hundred thirty-five thousand seven hundred thirty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x21233.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Happy Number Odious Number Pernicious Number Prime Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
20
Digit product
315
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
137,531
Square (n²)
18,422,904,361
Cube (n³)
2,500,559,231,822,891
Divisor count
2
σ(n) — sum of divisors
135,732
φ(n) — Euler's totient
135,730

Primality

135,731 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 135731
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 135,731)
1 × 135731
First multiples
135,731 · 271,462 (double) · 407,193 · 542,924 · 678,655 · 814,386 · 950,117 · 1,085,848 · 1,221,579 · 1,357,310

Sums & aliquot sequence

As consecutive integers: 67,865 + 67,866

Continued fraction of √n

√135,731 = [368; (2, 2, 1, 1, 31, 2, 4, 1, 4, 4, 2, 1, 2, 2, 3, 1, 104, 2, 20, 1, 1, 4, 15, 2, …)]

Representations

In words
one hundred thirty-five thousand seven hundred thirty-one
Ordinal
135731st
Binary
100001001000110011
Octal
411063
Hexadecimal
0x21233
Base64
AhIz
One's complement
4,294,831,564 (32-bit)
Scientific notation
1.35731 × 10⁵
As a duration
135,731 s = 1 day, 13 hours, 42 minutes, 11 seconds
In other bases
ternary (3) 20220012002
quaternary (4) 201020303
quinary (5) 13320411
senary (6) 2524215
septenary (7) 1103501
nonary (9) 226162
undecimal (11) 92a82
duodecimal (12) 6666b
tridecimal (13) 49a1b
tetradecimal (14) 37671
pentadecimal (15) 2a33b

As an angle

135,731° = 377 × 360° + 11°
11° ≈ 0.192 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ρλεψλαʹ
Mayan (base 20)
𝋰·𝋳·𝋦·𝋫
Chinese
一十三萬五千七百三十一
Chinese (financial)
壹拾參萬伍仟柒佰參拾壹
In other modern scripts
Eastern Arabic ١٣٥٧٣١ Devanagari १३५७३१ Bengali ১৩৫৭৩১ Tamil ௧௩௫௭௩௧ Thai ๑๓๕๗๓๑ Tibetan ༡༣༥༧༣༡ Khmer ១៣៥៧៣១ Lao ໑໓໕໗໓໑ Burmese ၁၃၅၇၃၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 135727.

Unicode codepoint
𡈳
CJK Unified Ideograph-21233
U+21233
Other letter (Lo)

UTF-8 encoding: F0 A1 88 B3 (4 bytes).

Hex color
#021233
RGB(2, 18, 51)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.18.51.

Address
0.2.18.51
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.18.51

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 135,731 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 135731 first appears in π at position 830,048 of the decimal expansion (the 830,048ordinal-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.