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136,993

136,993 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.).

136,993 (one hundred thirty-six thousand nine hundred ninety-three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x21721.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
31
Digit product
4,374
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
399,631
Square (n²)
18,767,082,049
Cube (n³)
2,570,958,871,138,657
Divisor count
2
σ(n) — sum of divisors
136,994
φ(n) — Euler's totient
136,992

Primality

136,993 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 136993
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 136,993)
1 × 136993
First multiples
136,993 · 273,986 (double) · 410,979 · 547,972 · 684,965 · 821,958 · 958,951 · 1,095,944 · 1,232,937 · 1,369,930

Sums & aliquot sequence

As a sum of two squares: 48² + 367²
As consecutive integers: 68,496 + 68,497

Continued fraction of √n

√136,993 = [370; (7, 1, 23, 246, 1, 2, 2, 3, 7, 1, 2, 81, 1, 9, 3, 2, 2, 4, 2, 26, 1, 29, 1, 7, …)]

Representations

In words
one hundred thirty-six thousand nine hundred ninety-three
Ordinal
136993rd
Binary
100001011100100001
Octal
413441
Hexadecimal
0x21721
Base64
Ahch
One's complement
4,294,830,302 (32-bit)
Scientific notation
1.36993 × 10⁵
As a duration
136,993 s = 1 day, 14 hours, 3 minutes, 13 seconds
In other bases
ternary (3) 20221220211
quaternary (4) 201130201
quinary (5) 13340433
senary (6) 2534121
septenary (7) 1110253
nonary (9) 227824
undecimal (11) 93a1a
duodecimal (12) 67341
tridecimal (13) 4a47c
tetradecimal (14) 37cd3
pentadecimal (15) 2a8cd

As an angle

136,993° = 380 × 360° + 193°
193° ≈ 3.368 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρλϛϡϟγʹ
Mayan (base 20)
𝋱·𝋢·𝋩·𝋭
Chinese
一十三萬六千九百九十三
Chinese (financial)
壹拾參萬陸仟玖佰玖拾參
In other modern scripts
Eastern Arabic ١٣٦٩٩٣ Devanagari १३६९९३ Bengali ১৩৬৯৯৩ Tamil ௧௩௬௯௯௩ Thai ๑๓๖๙๙๓ Tibetan ༡༣༦༩༩༣ Khmer ១៣៦៩៩៣ Lao ໑໓໖໙໙໓ Burmese ၁၃၆၉၉၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 136991, sexy with 136999.

Unicode codepoint
𡜡
CJK Unified Ideograph-21721
U+21721
Other letter (Lo)

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

Hex color
#021721
RGB(2, 23, 33)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.23.33.

Address
0.2.23.33
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.23.33

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 136,993 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 136993 first appears in π at position 377,717 of the decimal expansion (the 377,717ordinal-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.