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136,991

136,991 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.).

136,991 (one hundred thirty-six thousand nine hundred ninety-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x2171F.

Arithmetic Number Chen Prime Cousin Prime Cube-Free Deficient Number Evil Number Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
29
Digit product
1,458
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
199,631
Square (n²)
18,766,534,081
Cube (n³)
2,570,846,270,290,271
Divisor count
2
σ(n) — sum of divisors
136,992
φ(n) — Euler's totient
136,990

Primality

136,991 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 136991
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 136,991)
1 × 136991
First multiples
136,991 · 273,982 (double) · 410,973 · 547,964 · 684,955 · 821,946 · 958,937 · 1,095,928 · 1,232,919 · 1,369,910

Sums & aliquot sequence

As consecutive integers: 68,495 + 68,496

Continued fraction of √n

√136,991 = [370; (8, 7, 1, 1, 38, 2, 2, 1, 18, 1, 3, 3, 1, 1, 3, 1, 1, 369, 1, 1, 3, 1, 1, 3, …)]

Period length 36 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-six thousand nine hundred ninety-one
Ordinal
136991st
Binary
100001011100011111
Octal
413437
Hexadecimal
0x2171F
Base64
Ahcf
One's complement
4,294,830,304 (32-bit)
Scientific notation
1.36991 × 10⁵
As a duration
136,991 s = 1 day, 14 hours, 3 minutes, 11 seconds
In other bases
ternary (3) 20221220202
quaternary (4) 201130133
quinary (5) 13340431
senary (6) 2534115
septenary (7) 1110251
nonary (9) 227822
undecimal (11) 93a18
duodecimal (12) 6733b
tridecimal (13) 4a47a
tetradecimal (14) 37cd1
pentadecimal (15) 2a8cb

As an angle

136,991° = 380 × 360° + 191°
191° ≈ 3.334 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹 𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ρλϛϡϟαʹ
Mayan (base 20)
𝋱·𝋢·𝋩·𝋫
Chinese
一十三萬六千九百九十一
Chinese (financial)
壹拾參萬陸仟玖佰玖拾壹
In other modern scripts
Eastern Arabic ١٣٦٩٩١ Devanagari १३६९९१ Bengali ১৩৬৯৯১ Tamil ௧௩௬௯௯௧ Thai ๑๓๖๙๙๑ Tibetan ༡༣༦༩༩༡ Khmer ១៣៦៩៩១ Lao ໑໓໖໙໙໑ Burmese ၁၃၆၉၉၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 136993, cousin with 136987.

Unicode codepoint
𡜟
CJK Unified Ideograph-2171F
U+2171F
Other letter (Lo)

UTF-8 encoding: F0 A1 9C 9F (4 bytes).

Hex color
#02171F
RGB(2, 23, 31)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.23.31.

Address
0.2.23.31
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.23.31

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 136,991 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 136991 first appears in π at position 957,956 of the decimal expansion (the 957,956ordinal-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.