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136,973

136,973 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.).

136,973 (one hundred thirty-six thousand nine hundred seventy-three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x2170D.

Arithmetic Number Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
29
Digit product
3,402
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
379,631
Square (n²)
18,761,602,729
Cube (n³)
2,569,833,010,599,317
Divisor count
2
σ(n) — sum of divisors
136,974
φ(n) — Euler's totient
136,972

Primality

136,973 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 136973
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 136,973)
1 × 136973
First multiples
136,973 · 273,946 (double) · 410,919 · 547,892 · 684,865 · 821,838 · 958,811 · 1,095,784 · 1,232,757 · 1,369,730

Sums & aliquot sequence

As a sum of two squares: 77² + 362²
As consecutive integers: 68,486 + 68,487

Continued fraction of √n

√136,973 = [370; (10, 7, 4, 2, 1, 2, 6, 105, 1, 1, 2, 2, 2, 1, 3, 5, 1, 19, 6, 14, 1, 15, 1, 7, …)]

Representations

In words
one hundred thirty-six thousand nine hundred seventy-three
Ordinal
136973rd
Binary
100001011100001101
Octal
413415
Hexadecimal
0x2170D
Base64
AhcN
One's complement
4,294,830,322 (32-bit)
Scientific notation
1.36973 × 10⁵
As a duration
136,973 s = 1 day, 14 hours, 2 minutes, 53 seconds
In other bases
ternary (3) 20221220002
quaternary (4) 201130031
quinary (5) 13340343
senary (6) 2534045
septenary (7) 1110224
nonary (9) 227802
undecimal (11) 93a01
duodecimal (12) 67325
tridecimal (13) 4a465
tetradecimal (14) 37cbb
pentadecimal (15) 2a8b8

As an angle

136,973° = 380 × 360° + 173°
173° ≈ 3.019 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρλϛϡογʹ
Mayan (base 20)
𝋱·𝋢·𝋨·𝋭
Chinese
一十三萬六千九百七十三
Chinese (financial)
壹拾參萬陸仟玖佰柒拾參
In other modern scripts
Eastern Arabic ١٣٦٩٧٣ Devanagari १३६९७३ Bengali ১৩৬৯৭৩ Tamil ௧௩௬௯௭௩ Thai ๑๓๖๙๗๓ Tibetan ༡༣༦༩༧༣ Khmer ១៣៦៩៧៣ Lao ໑໓໖໙໗໓ Burmese ၁၃၆၉၇၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 136979.

Unicode codepoint
𡜍
CJK Unified Ideograph-2170D
U+2170D
Other letter (Lo)

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

Hex color
#02170D
RGB(2, 23, 13)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.23.13.

Address
0.2.23.13
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.23.13

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 136,973 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 136973 first appears in π at position 398,962 of the decimal expansion (the 398,962ordinal-suffix:nd 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.