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137,633

137,633 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.).

137,633 (one hundred thirty-seven thousand six hundred thirty-three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x219A1.

Arithmetic Number Chen Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
23
Digit product
1,134
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
336,731
Recamán's sequence
a(493,561) = 137,633
Square (n²)
18,942,842,689
Cube (n³)
2,607,160,267,815,137
Divisor count
2
σ(n) — sum of divisors
137,634
φ(n) — Euler's totient
137,632

Primality

137,633 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 137633
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 137,633)
1 × 137633
First multiples
137,633 · 275,266 (double) · 412,899 · 550,532 · 688,165 · 825,798 · 963,431 · 1,101,064 · 1,238,697 · 1,376,330

Sums & aliquot sequence

As a sum of two squares: 47² + 368²
As consecutive integers: 68,816 + 68,817

Continued fraction of √n

√137,633 = [370; (1, 91, 1, 2, 1, 45, 1, 1, 1, 1, 1, 22, 1, 1, 3, 1, 1, 11, 32, 5, 1, 3, 3, 1, …)]

Representations

In words
one hundred thirty-seven thousand six hundred thirty-three
Ordinal
137633rd
Binary
100001100110100001
Octal
414641
Hexadecimal
0x219A1
Base64
Ahmh
One's complement
4,294,829,662 (32-bit)
Scientific notation
1.37633 × 10⁵
As a duration
137,633 s = 1 day, 14 hours, 13 minutes, 53 seconds
In other bases
ternary (3) 20222210112
quaternary (4) 201212201
quinary (5) 13401013
senary (6) 2541105
septenary (7) 1112156
nonary (9) 228715
undecimal (11) 94451
duodecimal (12) 67795
tridecimal (13) 4a852
tetradecimal (14) 3822d
pentadecimal (15) 2aba8

As an angle

137,633° = 382 × 360° + 113°
113° ≈ 1.972 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρλζχλγʹ
Mayan (base 20)
𝋱·𝋤·𝋡·𝋭
Chinese
一十三萬七千六百三十三
Chinese (financial)
壹拾參萬柒仟陸佰參拾參
In other modern scripts
Eastern Arabic ١٣٧٦٣٣ Devanagari १३७६३३ Bengali ১৩৭৬৩৩ Tamil ௧௩௭௬௩௩ Thai ๑๓๗๖๓๓ Tibetan ༡༣༧༦༣༣ Khmer ១៣៧៦៣៣ Lao ໑໓໗໖໓໓ Burmese ၁၃၇၆၃၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 137639.

Unicode codepoint
𡦡
CJK Unified Ideograph-219A1
U+219A1
Other letter (Lo)

UTF-8 encoding: F0 A1 A6 A1 (4 bytes).

Hex color
#0219A1
RGB(2, 25, 161)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.25.161.

Address
0.2.25.161
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.25.161

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 137,633 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.