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135,937

135,937 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.).

135,937 (one hundred thirty-five thousand nine hundred thirty-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x21301.

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
2,835
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
739,531
Square (n²)
18,478,867,969
Cube (n³)
2,511,961,875,101,953
Divisor count
2
σ(n) — sum of divisors
135,938
φ(n) — Euler's totient
135,936

Primality

135,937 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 135937
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 135,937)
1 × 135937
First multiples
135,937 · 271,874 (double) · 407,811 · 543,748 · 679,685 · 815,622 · 951,559 · 1,087,496 · 1,223,433 · 1,359,370

Sums & aliquot sequence

As a sum of two squares: 84² + 359²
As consecutive integers: 67,968 + 67,969

Continued fraction of √n

√135,937 = [368; (1, 2, 3, 2, 2, 3, 1, 3, 11, 2, 3, 1, 1, 1, 3, 1, 1, 1, 1, 1, 5, 1, 2, 7, …)]

Representations

In words
one hundred thirty-five thousand nine hundred thirty-seven
Ordinal
135937th
Binary
100001001100000001
Octal
411401
Hexadecimal
0x21301
Base64
AhMB
One's complement
4,294,831,358 (32-bit)
Scientific notation
1.35937 × 10⁵
As a duration
135,937 s = 1 day, 13 hours, 45 minutes, 37 seconds
In other bases
ternary (3) 20220110201
quaternary (4) 201030001
quinary (5) 13322222
senary (6) 2525201
septenary (7) 1104214
nonary (9) 226421
undecimal (11) 9314a
duodecimal (12) 66801
tridecimal (13) 49b49
tetradecimal (14) 3777b
pentadecimal (15) 2a427

As an angle

135,937° = 377 × 360° + 217°
217° ≈ 3.787 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλεϡλζʹ
Mayan (base 20)
𝋰·𝋳·𝋰·𝋱
Chinese
一十三萬五千九百三十七
Chinese (financial)
壹拾參萬伍仟玖佰參拾柒
In other modern scripts
Eastern Arabic ١٣٥٩٣٧ Devanagari १३५९३७ Bengali ১৩৫৯৩৭ Tamil ௧௩௫௯௩௭ Thai ๑๓๕๙๓๗ Tibetan ༡༣༥༩༣༧ Khmer ១៣៥៩៣៧ Lao ໑໓໕໙໓໗ Burmese ၁၃၅၉၃၇

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𡌁
CJK Unified Ideograph-21301
U+21301
Other letter (Lo)

UTF-8 encoding: F0 A1 8C 81 (4 bytes).

Hex color
#021301
RGB(2, 19, 1)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.19.1.

Address
0.2.19.1
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.19.1

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 135,937 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 135937 first appears in π at position 868,995 of the decimal expansion (the 868,995ordinal-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.