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137,444

137,444 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.).

137,444 (one hundred thirty-seven thousand four hundred forty-four) is an even 6-digit number. It is a composite number with 6 divisors, and factors as 2² × 34,361. Written other ways, in hexadecimal, 0x218E4.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
1,344
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
444,731
Square (n²)
18,890,853,136
Cube (n³)
2,596,434,418,424,384
Divisor count
6
σ(n) — sum of divisors
240,534
φ(n) — Euler's totient
68,720
Sum of prime factors
34,365

Primality

Prime factorization: 2 2 × 34361

Nearest primes: 137,443 (−1) · 137,447 (+3)

Divisors & multiples

All divisors (6)
1 · 2 · 4 · 34361 · 68722 (half) · 137444
Aliquot sum (sum of proper divisors): 103,090
Factor pairs (a × b = 137,444)
1 × 137444
2 × 68722
4 × 34361
First multiples
137,444 · 274,888 (double) · 412,332 · 549,776 · 687,220 · 824,664 · 962,108 · 1,099,552 · 1,236,996 · 1,374,440

Sums & aliquot sequence

As a sum of two squares: 80² + 362²
As consecutive integers: 17,177 + 17,178 + … + 17,184
Aliquot sequence: 137,444 103,090 101,138 53,242 38,054 20,266 10,136 11,704 17,096 14,974 7,490 8,062 4,538 2,272 2,264 1,996 1,504 — unresolved within range

Continued fraction of √n

√137,444 = [370; (1, 2, 1, 3, 3, 1, 7, 25, 2, 3, 1, 1, 1, 1, 5, 1, 3, 1, 1, 2, 4, 6, 2, 1, …)]

Period length 50 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-seven thousand four hundred forty-four
Ordinal
137444th
Binary
100001100011100100
Octal
414344
Hexadecimal
0x218E4
Base64
Ahjk
One's complement
4,294,829,851 (32-bit)
Scientific notation
1.37444 × 10⁵
As a duration
137,444 s = 1 day, 14 hours, 10 minutes, 44 seconds
In other bases
ternary (3) 20222112112
quaternary (4) 201203210
quinary (5) 13344234
senary (6) 2540152
septenary (7) 1111466
nonary (9) 228475
undecimal (11) 9429a
duodecimal (12) 67658
tridecimal (13) 4a738
tetradecimal (14) 38136
pentadecimal (15) 2aace

As an angle

137,444° = 381 × 360° + 284°
284° ≈ 4.957 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζυμδʹ
Mayan (base 20)
𝋱·𝋣·𝋬·𝋤
Chinese
一十三萬七千四百四十四
Chinese (financial)
壹拾參萬柒仟肆佰肆拾肆
In other modern scripts
Eastern Arabic ١٣٧٤٤٤ Devanagari १३७४४४ Bengali ১৩৭৪৪৪ Tamil ௧௩௭௪௪௪ Thai ๑๓๗๔๔๔ Tibetan ༡༣༧༤༤༤ Khmer ១៣៧៤៤៤ Lao ໑໓໗໔໔໔ Burmese ၁၃၇၄၄၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137444, here are decompositions:

  • 7 + 137437 = 137444
  • 31 + 137413 = 137444
  • 61 + 137383 = 137444
  • 103 + 137341 = 137444
  • 193 + 137251 = 137444
  • 313 + 137131 = 137444
  • 367 + 137077 = 137444
  • 457 + 136987 = 137444

Showing the first eight; more decompositions exist.

Unicode codepoint
𡣤
CJK Unified Ideograph-218E4
U+218E4
Other letter (Lo)

UTF-8 encoding: F0 A1 A3 A4 (4 bytes).

Hex color
#0218E4
RGB(2, 24, 228)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.24.228.

Address
0.2.24.228
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.24.228

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 137,444 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 137444 first appears in π at position 528,229 of the decimal expansion (the 528,229ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.