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137,506

137,506 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.).

137,506 (one hundred thirty-seven thousand five hundred six) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 197 × 349. Written other ways, in hexadecimal, 0x21922.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
22
Digit product
0
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
605,731
Recamán's sequence
a(37,728) = 137,506
Square (n²)
18,907,900,036
Cube (n³)
2,599,949,702,350,216
Divisor count
8
σ(n) — sum of divisors
207,900
φ(n) — Euler's totient
68,208
Sum of prime factors
548

Primality

Prime factorization: 2 × 197 × 349

Nearest primes: 137,491 (−15) · 137,507 (+1)

Divisors & multiples

All divisors (8)
1 · 2 · 197 · 349 · 394 · 698 · 68753 (half) · 137506
Aliquot sum (sum of proper divisors): 70,394
Factor pairs (a × b = 137,506)
1 × 137506
2 × 68753
197 × 698
349 × 394
First multiples
137,506 · 275,012 (double) · 412,518 · 550,024 · 687,530 · 825,036 · 962,542 · 1,100,048 · 1,237,554 · 1,375,060

Sums & aliquot sequence

As a sum of two squares: 159² + 335² = 205² + 309²
As consecutive integers: 34,375 + 34,376 + 34,377 + 34,378 600 + 601 + … + 796 220 + 221 + … + 568
Aliquot sequence: 137,506 70,394 37,114 32,582 20,770 18,398 9,202 5,054 4,090 3,290 3,622 1,814 910 1,106 814 554 280 — unresolved within range

Continued fraction of √n

√137,506 = [370; (1, 4, 2, 48, 1, 81, 2, 2, 1, 3, 1, 48, 1, 1, 1, 8, 2, 29, 5, 5, 3, 2, 1, 1, …)]

Representations

In words
one hundred thirty-seven thousand five hundred six
Ordinal
137506th
Binary
100001100100100010
Octal
414442
Hexadecimal
0x21922
Base64
Ahki
One's complement
4,294,829,789 (32-bit)
Scientific notation
1.37506 × 10⁵
As a duration
137,506 s = 1 day, 14 hours, 11 minutes, 46 seconds
In other bases
ternary (3) 20222121211
quaternary (4) 201210202
quinary (5) 13400011
senary (6) 2540334
septenary (7) 1111615
nonary (9) 228554
undecimal (11) 94346
duodecimal (12) 676aa
tridecimal (13) 4a785
tetradecimal (14) 3817c
pentadecimal (15) 2ab21

As an angle

137,506° = 381 × 360° + 346°
346° ≈ 6.039 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζφϛʹ
Mayan (base 20)
𝋱·𝋣·𝋯·𝋦
Chinese
一十三萬七千五百零六
Chinese (financial)
壹拾參萬柒仟伍佰零陸
In other modern scripts
Eastern Arabic ١٣٧٥٠٦ Devanagari १३७५०६ Bengali ১৩৭৫০৬ Tamil ௧௩௭௫௦௬ Thai ๑๓๗๕๐๖ Tibetan ༡༣༧༥༠༦ Khmer ១៣៧៥០៦ Lao ໑໓໗໕໐໖ Burmese ၁၃၇၅၀၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137506, here are decompositions:

  • 23 + 137483 = 137506
  • 29 + 137477 = 137506
  • 53 + 137453 = 137506
  • 59 + 137447 = 137506
  • 107 + 137399 = 137506
  • 113 + 137393 = 137506
  • 137 + 137369 = 137506
  • 167 + 137339 = 137506

Showing the first eight; more decompositions exist.

Unicode codepoint
𡤢
CJK Unified Ideograph-21922
U+21922
Other letter (Lo)

UTF-8 encoding: F0 A1 A4 A2 (4 bytes).

Hex color
#021922
RGB(2, 25, 34)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.25.34.

Address
0.2.25.34
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.25.34

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 137,506 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