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137,936

137,936 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.).

137,936 (one hundred thirty-seven thousand nine hundred thirty-six) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 37 × 233. Written other ways, in hexadecimal, 0x21AD0.

Deficient Number Gapful Number Odious Number Pernicious Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
29
Digit product
3,402
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
639,731
Recamán's sequence
a(492,955) = 137,936
Square (n²)
19,026,340,096
Cube (n³)
2,624,417,247,481,856
Divisor count
20
σ(n) — sum of divisors
275,652
φ(n) — Euler's totient
66,816
Sum of prime factors
278

Primality

Prime factorization: 2 4 × 37 × 233

Nearest primes: 137,933 (−3) · 137,941 (+5)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 8 · 16 · 37 · 74 · 148 · 233 · 296 · 466 · 592 · 932 · 1864 · 3728 · 8621 · 17242 · 34484 · 68968 (half) · 137936
Aliquot sum (sum of proper divisors): 137,716
Factor pairs (a × b = 137,936)
1 × 137936
2 × 68968
4 × 34484
8 × 17242
16 × 8621
37 × 3728
74 × 1864
148 × 932
233 × 592
296 × 466
First multiples
137,936 · 275,872 (double) · 413,808 · 551,744 · 689,680 · 827,616 · 965,552 · 1,103,488 · 1,241,424 · 1,379,360

Sums & aliquot sequence

As a sum of two squares: 140² + 344² = 244² + 280²
As consecutive integers: 4,295 + 4,296 + … + 4,326 3,710 + 3,711 + … + 3,746 476 + 477 + … + 708
Aliquot sequence: 137,936 137,716 103,294 51,650 44,512 50,744 44,416 44,324 44,380 62,468 69,244 69,300 201,516 336,084 560,364 962,220 2,263,380 — unresolved within range

Continued fraction of √n

√137,936 = [371; (2, 1, 1, 14, 1, 1, 3, 1, 2, 1, 2, 11, 4, 6, 2, 1, 1, 2, 1, 1, 2, 6, 4, 11, …)]

Period length 36 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-seven thousand nine hundred thirty-six
Ordinal
137936th
Binary
100001101011010000
Octal
415320
Hexadecimal
0x21AD0
Base64
AhrQ
One's complement
4,294,829,359 (32-bit)
Scientific notation
1.37936 × 10⁵
As a duration
137,936 s = 1 day, 14 hours, 18 minutes, 56 seconds
In other bases
ternary (3) 21000012202
quaternary (4) 201223100
quinary (5) 13403221
senary (6) 2542332
septenary (7) 1113101
nonary (9) 230182
undecimal (11) 946a7
duodecimal (12) 679a8
tridecimal (13) 4aa26
tetradecimal (14) 383a8
pentadecimal (15) 2ad0b

As an angle

137,936° = 383 × 360° + 56°
56° ≈ 0.977 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζϡλϛʹ
Mayan (base 20)
𝋱·𝋤·𝋰·𝋰
Chinese
一十三萬七千九百三十六
Chinese (financial)
壹拾參萬柒仟玖佰參拾陸
In other modern scripts
Eastern Arabic ١٣٧٩٣٦ Devanagari १३७९३६ Bengali ১৩৭৯৩৬ Tamil ௧௩௭௯௩௬ Thai ๑๓๗๙๓๖ Tibetan ༡༣༧༩༣༦ Khmer ១៣៧៩៣៦ Lao ໑໓໗໙໓໖ Burmese ၁၃၇၉၃၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137936, here are decompositions:

  • 3 + 137933 = 137936
  • 67 + 137869 = 137936
  • 109 + 137827 = 137936
  • 193 + 137743 = 137936
  • 199 + 137737 = 137936
  • 223 + 137713 = 137936
  • 229 + 137707 = 137936
  • 277 + 137659 = 137936

Showing the first eight; more decompositions exist.

Unicode codepoint
𡫐
CJK Unified Ideograph-21Ad0
U+21AD0
Other letter (Lo)

UTF-8 encoding: F0 A1 AB 90 (4 bytes).

Hex color
#021AD0
RGB(2, 26, 208)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.26.208.

Address
0.2.26.208
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.26.208

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 137,936 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.