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138,984

138,984 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.).

138,984 (one hundred thirty-eight thousand nine hundred eighty-four) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 3 × 5,791. Its proper divisors sum to 208,536, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21EE8.

Abundant Number Arithmetic Number Odious Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
33
Digit product
6,912
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
489,831
Recamán's sequence
a(490,859) = 138,984
Square (n²)
19,316,552,256
Cube (n³)
2,684,691,698,747,904
Divisor count
16
σ(n) — sum of divisors
347,520
φ(n) — Euler's totient
46,320
Sum of prime factors
5,800

Primality

Prime factorization: 2 3 × 3 × 5791

Nearest primes: 138,977 (−7) · 139,021 (+37)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 24 · 5791 · 11582 · 17373 · 23164 · 34746 · 46328 · 69492 (half) · 138984
Aliquot sum (sum of proper divisors): 208,536
Factor pairs (a × b = 138,984)
1 × 138984
2 × 69492
3 × 46328
4 × 34746
6 × 23164
8 × 17373
12 × 11582
24 × 5791
First multiples
138,984 · 277,968 (double) · 416,952 · 555,936 · 694,920 · 833,904 · 972,888 · 1,111,872 · 1,250,856 · 1,389,840

Sums & aliquot sequence

As consecutive integers: 46,327 + 46,328 + 46,329 8,679 + 8,680 + … + 8,694 2,872 + 2,873 + … + 2,919
Aliquot sequence: 138,984 208,536 312,864 508,656 805,496 720,544 912,416 883,966 520,034 260,020 286,064 297,976 380,264 332,746 183,674 91,840 164,192 — unresolved within range

Continued fraction of √n

√138,984 = [372; (1, 4, 6, 1, 31, 1, 1, 3, 1, 9, 2, 3, 2, 1, 1, 2, 1, 1, 1, 1, 1, 18, 49, 1, …)]

Representations

In words
one hundred thirty-eight thousand nine hundred eighty-four
Ordinal
138984th
Binary
100001111011101000
Octal
417350
Hexadecimal
0x21EE8
Base64
Ah7o
One's complement
4,294,828,311 (32-bit)
Scientific notation
1.38984 × 10⁵
As a duration
138,984 s = 1 day, 14 hours, 36 minutes, 24 seconds
In other bases
ternary (3) 21001122120
quaternary (4) 201323220
quinary (5) 13421414
senary (6) 2551240
septenary (7) 1116126
nonary (9) 231576
undecimal (11) 9546a
duodecimal (12) 68520
tridecimal (13) 4b351
tetradecimal (14) 38916
pentadecimal (15) 2b2a9

As an angle

138,984° = 386 × 360° + 24°
24° ≈ 0.419 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρληϡπδʹ
Mayan (base 20)
𝋱·𝋧·𝋩·𝋤
Chinese
一十三萬八千九百八十四
Chinese (financial)
壹拾參萬捌仟玖佰捌拾肆
In other modern scripts
Eastern Arabic ١٣٨٩٨٤ Devanagari १३८९८४ Bengali ১৩৮৯৮৪ Tamil ௧௩௮௯௮௪ Thai ๑๓๘๙๘๔ Tibetan ༡༣༨༩༨༤ Khmer ១៣៨៩៨៤ Lao ໑໓໘໙໘໔ Burmese ၁၃၈၉၈၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138984, here are decompositions:

  • 7 + 138977 = 138984
  • 17 + 138967 = 138984
  • 47 + 138937 = 138984
  • 61 + 138923 = 138984
  • 67 + 138917 = 138984
  • 101 + 138883 = 138984
  • 163 + 138821 = 138984
  • 191 + 138793 = 138984

Showing the first eight; more decompositions exist.

Unicode codepoint
𡻨
CJK Unified Ideograph-21Ee8
U+21EE8
Other letter (Lo)

UTF-8 encoding: F0 A1 BB A8 (4 bytes).

Hex color
#021EE8
RGB(2, 30, 232)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.30.232.

Address
0.2.30.232
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.30.232

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 138,984 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 138984 first appears in π at position 524,682 of the decimal expansion (the 524,682ordinal-suffix:nd 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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.