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137,404

137,404 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.).

137,404 (one hundred thirty-seven thousand four hundred four) is an even 6-digit number. It is a composite number with 6 divisors, and factors as 2² × 34,351. Written other ways, in hexadecimal, 0x218BC.

Cube-Free Deficient Number Evil Number Happy Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
404,731
Recamán's sequence
a(37,612) = 137,404
Square (n²)
18,879,859,216
Cube (n³)
2,594,168,175,715,264
Divisor count
6
σ(n) — sum of divisors
240,464
φ(n) — Euler's totient
68,700
Sum of prime factors
34,355

Primality

Prime factorization: 2 2 × 34351

Nearest primes: 137,399 (−5) · 137,413 (+9)

Divisors & multiples

All divisors (6)
1 · 2 · 4 · 34351 · 68702 (half) · 137404
Aliquot sum (sum of proper divisors): 103,060
Factor pairs (a × b = 137,404)
1 × 137404
2 × 68702
4 × 34351
First multiples
137,404 · 274,808 (double) · 412,212 · 549,616 · 687,020 · 824,424 · 961,828 · 1,099,232 · 1,236,636 · 1,374,040

Sums & aliquot sequence

As consecutive integers: 17,172 + 17,173 + … + 17,179
Aliquot sequence: 137,404 103,060 113,408 113,476 103,244 81,220 96,188 74,332 55,756 44,036 34,504 33,896 33,304 32,216 28,204 25,724 20,476 — unresolved within range

Continued fraction of √n

√137,404 = [370; (1, 2, 7, 1, 2, 1, 1, 1, 2, 1, 2, 4, 1, 1, 1, 1, 4, 18, 3, 6, 2, 9, 6, 13, …)]

Representations

In words
one hundred thirty-seven thousand four hundred four
Ordinal
137404th
Binary
100001100010111100
Octal
414274
Hexadecimal
0x218BC
Base64
Ahi8
One's complement
4,294,829,891 (32-bit)
Scientific notation
1.37404 × 10⁵
As a duration
137,404 s = 1 day, 14 hours, 10 minutes, 4 seconds
In other bases
ternary (3) 20222111001
quaternary (4) 201202330
quinary (5) 13344104
senary (6) 2540044
septenary (7) 1111411
nonary (9) 228431
undecimal (11) 94263
duodecimal (12) 67624
tridecimal (13) 4a707
tetradecimal (14) 38108
pentadecimal (15) 2aaa4

As an angle

137,404° = 381 × 360° + 244°
244° ≈ 4.259 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζυδʹ
Mayan (base 20)
𝋱·𝋣·𝋪·𝋤
Chinese
一十三萬七千四百零四
Chinese (financial)
壹拾參萬柒仟肆佰零肆
In other modern scripts
Eastern Arabic ١٣٧٤٠٤ Devanagari १३७४०४ Bengali ১৩৭৪০৪ Tamil ௧௩௭௪௦௪ Thai ๑๓๗๔๐๔ Tibetan ༡༣༧༤༠༤ Khmer ១៣៧៤០៤ Lao ໑໓໗໔໐໔ Burmese ၁၃၇၄၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137404, here are decompositions:

  • 5 + 137399 = 137404
  • 11 + 137393 = 137404
  • 17 + 137387 = 137404
  • 41 + 137363 = 137404
  • 83 + 137321 = 137404
  • 101 + 137303 = 137404
  • 131 + 137273 = 137404
  • 227 + 137177 = 137404

Showing the first eight; more decompositions exist.

Unicode codepoint
𡢼
CJK Unified Ideograph-218Bc
U+218BC
Other letter (Lo)

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

Hex color
#0218BC
RGB(2, 24, 188)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.24.188.

Address
0.2.24.188
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.24.188

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 137,404 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