number.wiki
Live analysis

137,398

137,398 is a composite number, even.

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.).

137,398 (one hundred thirty-seven thousand three hundred ninety-eight) is an even 6-digit number. It is a composite number with 4 divisors, and factors as 2 × 68,699. Written other ways, in hexadecimal, 0x218B6.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
31
Digit product
4,536
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
893,731
Recamán's sequence
a(37,600) = 137,398
Square (n²)
18,878,210,404
Cube (n³)
2,593,828,353,088,792
Divisor count
4
σ(n) — sum of divisors
206,100
φ(n) — Euler's totient
68,698
Sum of prime factors
68,701

Primality

Prime factorization: 2 × 68699

Nearest primes: 137,393 (−5) · 137,399 (+1)

Divisors & multiples

All divisors (4)
1 · 2 · 68699 (half) · 137398
Aliquot sum (sum of proper divisors): 68,702
Factor pairs (a × b = 137,398)
1 × 137398
2 × 68699
First multiples
137,398 · 274,796 (double) · 412,194 · 549,592 · 686,990 · 824,388 · 961,786 · 1,099,184 · 1,236,582 · 1,373,980

Sums & aliquot sequence

As consecutive integers: 34,348 + 34,349 + 34,350 + 34,351
Aliquot sequence: 137,398 68,702 34,354 18,026 9,016 11,504 10,816 12,425 5,431 1 0 — terminates at zero

Continued fraction of √n

√137,398 = [370; (1, 2, 19, 5, 1, 2, 3, 1, 1, 3, 11, 2, 18, 1, 1, 7, 1, 4, 2, 4, 1, 1, 2, 3, …)]

Representations

In words
one hundred thirty-seven thousand three hundred ninety-eight
Ordinal
137398th
Binary
100001100010110110
Octal
414266
Hexadecimal
0x218B6
Base64
Ahi2
One's complement
4,294,829,897 (32-bit)
Scientific notation
1.37398 × 10⁵
As a duration
137,398 s = 1 day, 14 hours, 9 minutes, 58 seconds
In other bases
ternary (3) 20222110211
quaternary (4) 201202312
quinary (5) 13344043
senary (6) 2540034
septenary (7) 1111402
nonary (9) 228424
undecimal (11) 94258
duodecimal (12) 6761a
tridecimal (13) 4a701
tetradecimal (14) 38102
pentadecimal (15) 2aa9d

As an angle

137,398° = 381 × 360° + 238°
238° ≈ 4.154 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζτϟηʹ
Mayan (base 20)
𝋱·𝋣·𝋩·𝋲
Chinese
一十三萬七千三百九十八
Chinese (financial)
壹拾參萬柒仟參佰玖拾捌
In other modern scripts
Eastern Arabic ١٣٧٣٩٨ Devanagari १३७३९८ Bengali ১৩৭৩৯৮ Tamil ௧௩௭௩௯௮ Thai ๑๓๗๓๙๘ Tibetan ༡༣༧༣༩༨ Khmer ១៣៧៣៩៨ Lao ໑໓໗໓໙໘ Burmese ၁၃၇၃၉၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137398, here are decompositions:

  • 5 + 137393 = 137398
  • 11 + 137387 = 137398
  • 29 + 137369 = 137398
  • 59 + 137339 = 137398
  • 179 + 137219 = 137398
  • 197 + 137201 = 137398
  • 251 + 137147 = 137398
  • 281 + 137117 = 137398

Showing the first eight; more decompositions exist.

Unicode codepoint
𡢶
CJK Unified Ideograph-218B6
U+218B6
Other letter (Lo)

UTF-8 encoding: F0 A1 A2 B6 (4 bytes).

Hex color
#0218B6
RGB(2, 24, 182)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.24.182.

Address
0.2.24.182
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.24.182

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 137,398 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