Live analysis

138,084

138,084 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.).

138,084 (one hundred thirty-eight thousand eighty-four) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 37 × 311. Its proper divisors sum to 193,884, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21B64.

Abundant Number Arithmetic Number Cube-Free Evil Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

138,072 138,073 138,074 138,075 138,076 138,077 138,078 138,079 138,080 138,081 138,082 138,083 138,084 138,085 138,086 138,087 138,088 138,089 138,090 138,091 138,092 138,093 138,094 138,095 138,096

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 24
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 18 bits
Reversed: 480,831
Recamán's sequence: a(492,659) = 138,084
Square (n²): 19,067,191,056
Cube (n³): 2,632,874,009,776,704
Divisor count: 24
σ(n) — sum of divisors: 331,968
φ(n) — Euler's totient: 44,640
Sum of prime factors: 355

Primality

Prime factorization: 2 ² × 3 × 37 × 311

Nearest primes: 138,079 (−5) · 138,101 (+17)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 6 · 12 · 37 · 74 · 111 · 148 · 222 · 311 · 444 · 622 · 933 · 1244 · 1866 · 3732 · 11507 · 23014 · 34521 · 46028 · 69042 (half) · 138084

Aliquot sum (sum of proper divisors): 193,884

Factor pairs (a × b = 138,084)

1 × 138084

2 × 69042

3 × 46028

4 × 34521

6 × 23014

12 × 11507

37 × 3732

74 × 1866

111 × 1244

148 × 933

222 × 622

311 × 444

First multiples

138,084 · 276,168 (double) · 414,252 · 552,336 · 690,420 · 828,504 · 966,588 · 1,104,672 · 1,242,756 · 1,380,840

Sums & aliquot sequence

As consecutive integers: 46,027 + 46,028 + 46,029 17,257 + 17,258 + … + 17,264 5,742 + 5,743 + … + 5,765 3,714 + 3,715 + … + 3,750

Aliquot sequence: 138,084 → 193,884 → 265,764 → 354,380 → 492,340 → 555,980 → 611,620 → 699,284 → 524,470 → 428,090 → 433,750 → 381,614 → 190,810 → 152,666 → 76,336 → 83,376 → 157,184 — unresolved within range

Continued fraction of √n

√138,084 = [371; (1, 1, 2, 11, 4, 1, 2, 2, 2, 2, 2, 26, 7, 1, 3, 1, 1, 1, 9, 1, 4, 1, 2, 1, …)]

Representations

In words: one hundred thirty-eight thousand eighty-four
Ordinal: 138084th
Binary: 100001101101100100
Octal: 415544
Hexadecimal: 0x21B64
Base64: Ahtk
One's complement: 4,294,829,211 (32-bit)
Scientific notation: 1.38084 × 10⁵
As a duration: 138,084 s = 1 day, 14 hours, 21 minutes, 24 seconds

In other bases

ternary (3) 21000102020

quaternary (4) 201231210

quinary (5) 13404314

senary (6) 2543140

septenary (7) 1113402

nonary (9) 230366

undecimal (11) 94821

duodecimal (12) 67ab0

tridecimal (13) 4ab0b

tetradecimal (14) 38472

pentadecimal (15) 2ada9

As an angle

138,084° = 383 × 360° + 204°

204° ≈ 3.56 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ρληπδʹ
Mayan (base 20): 𝋱·𝋥·𝋤·𝋤
Chinese: 一十三萬八千零八十四
Chinese (financial): 壹拾參萬捌仟零捌拾肆

In other modern scripts

Eastern Arabic ١٣٨٠٨٤ Devanagari १३८०८४ Bengali ১৩৮০৮৪ Tamil ௧௩௮௦௮௪ Thai ๑๓๘๐๘๔ Tibetan ༡༣༨༠༨༤ Khmer ១៣៨០៨៤ Lao ໑໓໘໐໘໔ Burmese ၁၃၈၀၈၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138084, here are decompositions:

5 + 138079 = 138084
7 + 138077 = 138084
13 + 138071 = 138084
31 + 138053 = 138084
43 + 138041 = 138084
101 + 137983 = 138084
127 + 137957 = 138084
137 + 137947 = 138084

Showing the first eight; more decompositions exist.

Unicode codepoint

𡭤

CJK Unified Ideograph-21B64

U+21B64

Other letter (Lo)

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

Lookup U+21B64 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#021B64

RGB(2, 27, 100)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.27.100.

Address: 0.2.27.100
Class: reserved
IPv4-mapped IPv6: ::ffff:0.2.27.100

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 138,084 and was likely granted around 1872.

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

Look up US138,084 on Google Patents ↗ Look up on USPTO ↗