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136,841

136,841 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.).

136,841 (one hundred thirty-six 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, 0x21689.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
23
Digit product
576
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
148,631
Square (n²)
18,725,459,281
Cube (n³)
2,562,410,573,471,321
Divisor count
2
σ(n) — sum of divisors
136,842
φ(n) — Euler's totient
136,840

Primality

136,841 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 136841
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 136,841)
1 × 136841
First multiples
136,841 · 273,682 (double) · 410,523 · 547,364 · 684,205 · 821,046 · 957,887 · 1,094,728 · 1,231,569 · 1,368,410

Sums & aliquot sequence

As a sum of two squares: 104² + 355²
As consecutive integers: 68,420 + 68,421

Continued fraction of √n

√136,841 = [369; (1, 11, 1, 1, 5, 1, 1, 2, 6, 1, 2, 1, 1, 2, 1, 3, 2, 2, 2, 1, 2, 5, 2, 5, …)]

Representations

In words
one hundred thirty-six thousand eight hundred forty-one
Ordinal
136841st
Binary
100001011010001001
Octal
413211
Hexadecimal
0x21689
Base64
AhaJ
One's complement
4,294,830,454 (32-bit)
Scientific notation
1.36841 × 10⁵
As a duration
136,841 s = 1 day, 14 hours, 41 seconds
In other bases
ternary (3) 20221201012
quaternary (4) 201122021
quinary (5) 13334331
senary (6) 2533305
septenary (7) 1106645
nonary (9) 227635
undecimal (11) 938a1
duodecimal (12) 67235
tridecimal (13) 4a393
tetradecimal (14) 37c25
pentadecimal (15) 2a82b

As an angle

136,841° = 380 × 360° + 41°
41° ≈ 0.716 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 · 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ρλϛωμαʹ
Mayan (base 20)
𝋱·𝋢·𝋢·𝋡
Chinese
一十三萬六千八百四十一
Chinese (financial)
壹拾參萬陸仟捌佰肆拾壹
In other modern scripts
Eastern Arabic ١٣٦٨٤١ Devanagari १३६८४१ Bengali ১৩৬৮৪১ Tamil ௧௩௬௮௪௧ Thai ๑๓๖๘๔๑ Tibetan ༡༣༦༨༤༡ Khmer ១៣៦៨៤១ Lao ໑໓໖໘໔໑ Burmese ၁၃၆၈၄၁

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𡚉
CJK Unified Ideograph-21689
U+21689
Other letter (Lo)

UTF-8 encoding: F0 A1 9A 89 (4 bytes).

Hex color
#021689
RGB(2, 22, 137)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.22.137.

Address
0.2.22.137
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.22.137

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 136,841 and was likely granted around 1872.

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

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.