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137,968

137,968 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.).

137,968 (one hundred thirty-seven thousand nine hundred sixty-eight) is an even 6-digit number. It is a composite number with 10 divisors, and factors as 2⁴ × 8,623. Written other ways, in hexadecimal, 0x21AF0.

Deficient Number Evil Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
34
Digit product
9,072
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
869,731
Recamán's sequence
a(492,891) = 137,968
Square (n²)
19,035,169,024
Cube (n³)
2,626,244,199,903,232
Divisor count
10
σ(n) — sum of divisors
267,344
φ(n) — Euler's totient
68,976
Sum of prime factors
8,631

Primality

Prime factorization: 2 4 × 8623

Nearest primes: 137,957 (−11) · 137,983 (+15)

Divisors & multiples

All divisors (10)
1 · 2 · 4 · 8 · 16 · 8623 · 17246 · 34492 · 68984 (half) · 137968
Aliquot sum (sum of proper divisors): 129,376
Factor pairs (a × b = 137,968)
1 × 137968
2 × 68984
4 × 34492
8 × 17246
16 × 8623
First multiples
137,968 · 275,936 (double) · 413,904 · 551,872 · 689,840 · 827,808 · 965,776 · 1,103,744 · 1,241,712 · 1,379,680

Sums & aliquot sequence

As consecutive integers: 4,296 + 4,297 + … + 4,327
Aliquot sequence: 137,968 129,376 145,808 158,860 210,068 157,558 78,782 50,170 43,790 38,290 40,622 23,578 11,792 13,504 13,420 17,828 13,378 — unresolved within range

Continued fraction of √n

√137,968 = [371; (2, 3, 1, 2, 3, 3, 1, 1, 4, 2, 1, 4, 1, 2, 1, 2, 1, 22, 2, 13, 1, 3, 1, 12, …)]

Representations

In words
one hundred thirty-seven thousand nine hundred sixty-eight
Ordinal
137968th
Binary
100001101011110000
Octal
415360
Hexadecimal
0x21AF0
Base64
Ahrw
One's complement
4,294,829,327 (32-bit)
Scientific notation
1.37968 × 10⁵
As a duration
137,968 s = 1 day, 14 hours, 19 minutes, 28 seconds
In other bases
ternary (3) 21000020221
quaternary (4) 201223300
quinary (5) 13403333
senary (6) 2542424
septenary (7) 1113145
nonary (9) 230227
undecimal (11) 94726
duodecimal (12) 67a14
tridecimal (13) 4aa4c
tetradecimal (14) 383cc
pentadecimal (15) 2ad2d

As an angle

137,968° = 383 × 360° + 88°
88° ≈ 1.536 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζϡξηʹ
Mayan (base 20)
𝋱·𝋤·𝋲·𝋨
Chinese
一十三萬七千九百六十八
Chinese (financial)
壹拾參萬柒仟玖佰陸拾捌
In other modern scripts
Eastern Arabic ١٣٧٩٦٨ Devanagari १३७९६८ Bengali ১৩৭৯৬৮ Tamil ௧௩௭௯௬௮ Thai ๑๓๗๙๖๘ Tibetan ༡༣༧༩༦༨ Khmer ១៣៧៩៦៨ Lao ໑໓໗໙໖໘ Burmese ၁၃၇၉၆၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137968, here are decompositions:

  • 11 + 137957 = 137968
  • 41 + 137927 = 137968
  • 59 + 137909 = 137968
  • 101 + 137867 = 137968
  • 137 + 137831 = 137968
  • 191 + 137777 = 137968
  • 197 + 137771 = 137968
  • 269 + 137699 = 137968

Showing the first eight; more decompositions exist.

Unicode codepoint
𡫰
CJK Unified Ideograph-21Af0
U+21AF0
Other letter (Lo)

UTF-8 encoding: F0 A1 AB B0 (4 bytes).

Hex color
#021AF0
RGB(2, 26, 240)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.26.240.

Address
0.2.26.240
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.26.240

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 137,968 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