number.wiki
Live analysis

137,998

137,998 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.).

137,998 (one hundred thirty-seven thousand nine hundred ninety-eight) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 7 × 9,857. Written other ways, in hexadecimal, 0x21B0E.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
37
Digit product
13,608
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
899,731
Recamán's sequence
a(492,831) = 137,998
Square (n²)
19,043,448,004
Cube (n³)
2,627,957,737,655,992
Divisor count
8
σ(n) — sum of divisors
236,592
φ(n) — Euler's totient
59,136
Sum of prime factors
9,866

Primality

Prime factorization: 2 × 7 × 9857

Nearest primes: 137,993 (−5) · 137,999 (+1)

Divisors & multiples

All divisors (8)
1 · 2 · 7 · 14 · 9857 · 19714 · 68999 (half) · 137998
Aliquot sum (sum of proper divisors): 98,594
Factor pairs (a × b = 137,998)
1 × 137998
2 × 68999
7 × 19714
14 × 9857
First multiples
137,998 · 275,996 (double) · 413,994 · 551,992 · 689,990 · 827,988 · 965,986 · 1,103,984 · 1,241,982 · 1,379,980

Sums & aliquot sequence

As consecutive integers: 34,498 + 34,499 + 34,500 + 34,501 19,711 + 19,712 + … + 19,717 4,915 + 4,916 + … + 4,942
Aliquot sequence: 137,998 98,594 49,300 67,880 84,940 100,532 79,984 75,016 65,654 38,674 20,474 11,386 5,696 5,734 3,194 1,600 2,337 — unresolved within range

Continued fraction of √n

√137,998 = [371; (2, 12, 1, 1, 6, 1, 2, 3, 1, 2, 1, 3, 56, 1, 7, 1, 1, 3, 1, 6, 1, 1, 52, 1, …)]

Period length 46 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-seven thousand nine hundred ninety-eight
Ordinal
137998th
Binary
100001101100001110
Octal
415416
Hexadecimal
0x21B0E
Base64
AhsO
One's complement
4,294,829,297 (32-bit)
Scientific notation
1.37998 × 10⁵
As a duration
137,998 s = 1 day, 14 hours, 19 minutes, 58 seconds
In other bases
ternary (3) 21000022001
quaternary (4) 201230032
quinary (5) 13403443
senary (6) 2542514
septenary (7) 1113220
nonary (9) 230261
undecimal (11) 94753
duodecimal (12) 67a3a
tridecimal (13) 4aa73
tetradecimal (14) 38410
pentadecimal (15) 2ad4d

As an angle

137,998° = 383 × 360° + 118°
118° ≈ 2.059 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζϡϟηʹ
Mayan (base 20)
𝋱·𝋤·𝋳·𝋲
Chinese
一十三萬七千九百九十八
Chinese (financial)
壹拾參萬柒仟玖佰玖拾捌
In other modern scripts
Eastern Arabic ١٣٧٩٩٨ Devanagari १३७९९८ Bengali ১৩৭৯৯৮ Tamil ௧௩௭௯௯௮ Thai ๑๓๗๙๙๘ Tibetan ༡༣༧༩༩༨ Khmer ១៣៧៩៩៨ Lao ໑໓໗໙໙໘ Burmese ၁၃၇၉၉၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137998, here are decompositions:

  • 5 + 137993 = 137998
  • 41 + 137957 = 137998
  • 71 + 137927 = 137998
  • 89 + 137909 = 137998
  • 131 + 137867 = 137998
  • 149 + 137849 = 137998
  • 167 + 137831 = 137998
  • 227 + 137771 = 137998

Showing the first eight; more decompositions exist.

Unicode codepoint
𡬎
CJK Unified Ideograph-21B0E
U+21B0E
Other letter (Lo)

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

Hex color
#021B0E
RGB(2, 27, 14)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.27.14.

Address
0.2.27.14
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.27.14

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 137,998 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