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137,296

137,296 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.).

137,296 (one hundred thirty-seven thousand two hundred ninety-six) is an even 6-digit number. It is a composite number with 10 divisors, and factors as 2⁴ × 8,581. Written other ways, in hexadecimal, 0x21850.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
28
Digit product
2,268
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
692,731
Recamán's sequence
a(37,396) = 137,296
Square (n²)
18,850,191,616
Cube (n³)
2,588,055,908,110,336
Divisor count
10
σ(n) — sum of divisors
266,042
φ(n) — Euler's totient
68,640
Sum of prime factors
8,589

Primality

Prime factorization: 2 4 × 8581

Nearest primes: 137,279 (−17) · 137,303 (+7)

Divisors & multiples

All divisors (10)
1 · 2 · 4 · 8 · 16 · 8581 · 17162 · 34324 · 68648 (half) · 137296
Aliquot sum (sum of proper divisors): 128,746
Factor pairs (a × b = 137,296)
1 × 137296
2 × 68648
4 × 34324
8 × 17162
16 × 8581
First multiples
137,296 · 274,592 (double) · 411,888 · 549,184 · 686,480 · 823,776 · 961,072 · 1,098,368 · 1,235,664 · 1,372,960

Sums & aliquot sequence

As a sum of two squares: 260² + 264²
As consecutive integers: 4,275 + 4,276 + … + 4,306
Aliquot sequence: 137,296 128,746 64,376 65,824 84,998 42,502 22,298 11,152 12,284 10,060 11,108 8,338 5,342 2,674 1,934 970 794 — unresolved within range

Continued fraction of √n

√137,296 = [370; (1, 1, 6, 1, 2, 3, 1, 1, 1, 10, 1, 3, 4, 1, 12, 1, 1, 1, 45, 1, 1, 1, 12, 1, …)]

Period length 38 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-seven thousand two hundred ninety-six
Ordinal
137296th
Binary
100001100001010000
Octal
414120
Hexadecimal
0x21850
Base64
AhhQ
One's complement
4,294,829,999 (32-bit)
Scientific notation
1.37296 × 10⁵
As a duration
137,296 s = 1 day, 14 hours, 8 minutes, 16 seconds
In other bases
ternary (3) 20222100001
quaternary (4) 201201100
quinary (5) 13343141
senary (6) 2535344
septenary (7) 1111165
nonary (9) 228301
undecimal (11) 94175
duodecimal (12) 67554
tridecimal (13) 4a653
tetradecimal (14) 3806c
pentadecimal (15) 2aa31

As an angle

137,296° = 381 × 360° + 136°
136° ≈ 2.374 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζσϟϛʹ
Mayan (base 20)
𝋱·𝋣·𝋤·𝋰
Chinese
一十三萬七千二百九十六
Chinese (financial)
壹拾參萬柒仟貳佰玖拾陸
In other modern scripts
Eastern Arabic ١٣٧٢٩٦ Devanagari १३७२९६ Bengali ১৩৭২৯৬ Tamil ௧௩௭௨௯௬ Thai ๑๓๗๒๙๖ Tibetan ༡༣༧༢༩༦ Khmer ១៣៧២៩៦ Lao ໑໓໗໒໙໖ Burmese ၁၃၇၂၉၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137296, here are decompositions:

  • 17 + 137279 = 137296
  • 23 + 137273 = 137296
  • 113 + 137183 = 137296
  • 149 + 137147 = 137296
  • 179 + 137117 = 137296
  • 317 + 136979 = 137296
  • 347 + 136949 = 137296
  • 353 + 136943 = 137296

Showing the first eight; more decompositions exist.

Unicode codepoint
𡡐
CJK Unified Ideograph-21850
U+21850
Other letter (Lo)

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

Hex color
#021850
RGB(2, 24, 80)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.24.80.

Address
0.2.24.80
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.24.80

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 137,296 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