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137,333

137,333 is a composite number, 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.).

137,333 (one hundred thirty-seven thousand three hundred thirty-three) is an odd 6-digit number. It is a composite number with 8 divisors, and factors as 7 × 23 × 853. Written other ways, in hexadecimal, 0x21875.

Arithmetic Number Cube-Free Deficient Number Evil Number Happy Number Recamán's Sequence Sphenic Number Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
20
Digit product
567
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
333,731
Recamán's sequence
a(37,470) = 137,333
Square (n²)
18,860,352,889
Cube (n³)
2,590,148,843,305,037
Divisor count
8
σ(n) — sum of divisors
163,968
φ(n) — Euler's totient
112,464
Sum of prime factors
883

Primality

Prime factorization: 7 × 23 × 853

Nearest primes: 137,321 (−12) · 137,339 (+6)

Divisors & multiples

All divisors (8)
1 · 7 · 23 · 161 · 853 · 5971 · 19619 · 137333
Aliquot sum (sum of proper divisors): 26,635
Factor pairs (a × b = 137,333)
1 × 137333
7 × 19619
23 × 5971
161 × 853
First multiples
137,333 · 274,666 (double) · 411,999 · 549,332 · 686,665 · 823,998 · 961,331 · 1,098,664 · 1,235,997 · 1,373,330

Sums & aliquot sequence

As consecutive integers: 68,666 + 68,667 19,616 + 19,617 + … + 19,622 9,803 + 9,804 + … + 9,816 5,960 + 5,961 + … + 5,982
Aliquot sequence: 137,333 26,635 9,941 1 0 — terminates at zero

Continued fraction of √n

√137,333 = [370; (1, 1, 2, 2, 4, 1, 3, 3, 1, 1, 2, 1, 2, 3, 6, 1, 8, 1, 8, 32, 8, 1, 8, 1, …)]

Period length 40 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-seven thousand three hundred thirty-three
Ordinal
137333rd
Binary
100001100001110101
Octal
414165
Hexadecimal
0x21875
Base64
Ahh1
One's complement
4,294,829,962 (32-bit)
Scientific notation
1.37333 × 10⁵
As a duration
137,333 s = 1 day, 14 hours, 8 minutes, 53 seconds
In other bases
ternary (3) 20222101102
quaternary (4) 201201311
quinary (5) 13343313
senary (6) 2535445
septenary (7) 1111250
nonary (9) 228342
undecimal (11) 941a9
duodecimal (12) 67585
tridecimal (13) 4a681
tetradecimal (14) 38097
pentadecimal (15) 2aa58

As an angle

137,333° = 381 × 360° + 173°
173° ≈ 3.019 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρλζτλγʹ
Mayan (base 20)
𝋱·𝋣·𝋦·𝋭
Chinese
一十三萬七千三百三十三
Chinese (financial)
壹拾參萬柒仟參佰參拾參
In other modern scripts
Eastern Arabic ١٣٧٣٣٣ Devanagari १३७३३३ Bengali ১৩৭৩৩৩ Tamil ௧௩௭௩௩௩ Thai ๑๓๗๓๓๓ Tibetan ༡༣༧༣༣༣ Khmer ១៣៧៣៣៣ Lao ໑໓໗໓໓໓ Burmese ၁၃၇၃၃၃

Also seen as

Unicode codepoint
𡡵
CJK Unified Ideograph-21875
U+21875
Other letter (Lo)

UTF-8 encoding: F0 A1 A1 B5 (4 bytes).

Hex color
#021875
RGB(2, 24, 117)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.24.117.

Address
0.2.24.117
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.24.117

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 137,333 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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.