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137,876

137,876 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.).

137,876 (one hundred thirty-seven thousand eight hundred seventy-six) is an even 6-digit number. It is a composite number with 6 divisors, and factors as 2² × 34,469. Written other ways, in hexadecimal, 0x21A94.

Arithmetic Number Cube-Free Deficient Number Happy Number Odious Number Pernicious Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
32
Digit product
7,056
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
678,731
Recamán's sequence
a(493,075) = 137,876
Square (n²)
19,009,791,376
Cube (n³)
2,620,993,995,757,376
Divisor count
6
σ(n) — sum of divisors
241,290
φ(n) — Euler's totient
68,936
Sum of prime factors
34,473

Primality

Prime factorization: 2 2 × 34469

Nearest primes: 137,873 (−3) · 137,909 (+33)

Divisors & multiples

All divisors (6)
1 · 2 · 4 · 34469 · 68938 (half) · 137876
Aliquot sum (sum of proper divisors): 103,414
Factor pairs (a × b = 137,876)
1 × 137876
2 × 68938
4 × 34469
First multiples
137,876 · 275,752 (double) · 413,628 · 551,504 · 689,380 · 827,256 · 965,132 · 1,103,008 · 1,240,884 · 1,378,760

Sums & aliquot sequence

As a sum of two squares: 124² + 350²
As consecutive integers: 17,231 + 17,232 + … + 17,238
Aliquot sequence: 137,876 103,414 57,146 28,576 31,904 30,970 28,070 29,818 17,594 10,246 5,594 2,800 4,888 5,192 5,608 4,922 2,854 — unresolved within range

Continued fraction of √n

√137,876 = [371; (3, 6, 3, 2, 1, 3, 3, 1, 36, 2, 1, 2, 1, 3, 23, 1, 2, 4, 1, 28, 1, 8, 3, 6, …)]

Representations

In words
one hundred thirty-seven thousand eight hundred seventy-six
Ordinal
137876th
Binary
100001101010010100
Octal
415224
Hexadecimal
0x21A94
Base64
AhqU
One's complement
4,294,829,419 (32-bit)
Scientific notation
1.37876 × 10⁵
As a duration
137,876 s = 1 day, 14 hours, 17 minutes, 56 seconds
In other bases
ternary (3) 21000010112
quaternary (4) 201222110
quinary (5) 13403001
senary (6) 2542152
septenary (7) 1112654
nonary (9) 230115
undecimal (11) 94652
duodecimal (12) 67958
tridecimal (13) 4a9ab
tetradecimal (14) 38364
pentadecimal (15) 2acbb

As an angle

137,876° = 382 × 360° + 356°
356° ≈ 6.213 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζωοϛʹ
Mayan (base 20)
𝋱·𝋤·𝋭·𝋰
Chinese
一十三萬七千八百七十六
Chinese (financial)
壹拾參萬柒仟捌佰柒拾陸
In other modern scripts
Eastern Arabic ١٣٧٨٧٦ Devanagari १३७८७६ Bengali ১৩৭৮৭৬ Tamil ௧௩௭௮௭௬ Thai ๑๓๗๘๗๖ Tibetan ༡༣༧༨༧༦ Khmer ១៣៧៨៧៦ Lao ໑໓໗໘໗໖ Burmese ၁၃၇၈၇၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137876, here are decompositions:

  • 3 + 137873 = 137876
  • 7 + 137869 = 137876
  • 73 + 137803 = 137876
  • 139 + 137737 = 137876
  • 163 + 137713 = 137876
  • 223 + 137653 = 137876
  • 283 + 137593 = 137876
  • 433 + 137443 = 137876

Showing the first eight; more decompositions exist.

Unicode codepoint
𡪔
CJK Unified Ideograph-21A94
U+21A94
Other letter (Lo)

UTF-8 encoding: F0 A1 AA 94 (4 bytes).

Hex color
#021A94
RGB(2, 26, 148)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.26.148.

Address
0.2.26.148
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.26.148

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 137,876 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.