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138,980

138,980 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.).

138,980 (one hundred thirty-eight thousand nine hundred eighty) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 5 × 6,949. Its proper divisors sum to 152,920, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21EE4.

Abundant Number Arithmetic Number Cube-Free Gapful Number Happy Number Odious Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
29
Digit product
0
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
89,831
Recamán's sequence
a(490,867) = 138,980
Square (n²)
19,315,440,400
Cube (n³)
2,684,459,906,792,000
Divisor count
12
σ(n) — sum of divisors
291,900
φ(n) — Euler's totient
55,584
Sum of prime factors
6,958

Primality

Prime factorization: 2 2 × 5 × 6949

Nearest primes: 138,977 (−3) · 139,021 (+41)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 5 · 10 · 20 · 6949 · 13898 · 27796 · 34745 · 69490 (half) · 138980
Aliquot sum (sum of proper divisors): 152,920
Factor pairs (a × b = 138,980)
1 × 138980
2 × 69490
4 × 34745
5 × 27796
10 × 13898
20 × 6949
First multiples
138,980 · 277,960 (double) · 416,940 · 555,920 · 694,900 · 833,880 · 972,860 · 1,111,840 · 1,250,820 · 1,389,800

Sums & aliquot sequence

As a sum of two squares: 104² + 358² = 224² + 298²
As consecutive integers: 27,794 + 27,795 + 27,796 + 27,797 + 27,798 17,369 + 17,370 + … + 17,376 3,455 + 3,456 + … + 3,494
Aliquot sequence: 138,980 152,920 191,240 301,240 418,040 657,640 861,920 1,174,744 1,027,916 849,316 751,416 1,149,384 1,763,736 2,985,624 5,100,636 7,212,084 11,288,748 — unresolved within range

Continued fraction of √n

√138,980 = [372; (1, 4, 186, 4, 1, 744)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-eight thousand nine hundred eighty
Ordinal
138980th
Binary
100001111011100100
Octal
417344
Hexadecimal
0x21EE4
Base64
Ah7k
One's complement
4,294,828,315 (32-bit)
Scientific notation
1.3898 × 10⁵
As a duration
138,980 s = 1 day, 14 hours, 36 minutes, 20 seconds
In other bases
ternary (3) 21001122102
quaternary (4) 201323210
quinary (5) 13421410
senary (6) 2551232
septenary (7) 1116122
nonary (9) 231572
undecimal (11) 95466
duodecimal (12) 68518
tridecimal (13) 4b34a
tetradecimal (14) 38912
pentadecimal (15) 2b2a5

As an angle

138,980° = 386 × 360° + 20°
20° ≈ 0.349 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρληϡπʹ
Mayan (base 20)
𝋱·𝋧·𝋩·𝋠
Chinese
一十三萬八千九百八十
Chinese (financial)
壹拾參萬捌仟玖佰捌拾
In other modern scripts
Eastern Arabic ١٣٨٩٨٠ Devanagari १३८९८० Bengali ১৩৮৯৮০ Tamil ௧௩௮௯௮௦ Thai ๑๓๘๙๘๐ Tibetan ༡༣༨༩༨༠ Khmer ១៣៨៩៨០ Lao ໑໓໘໙໘໐ Burmese ၁၃၈၉၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138980, here are decompositions:

  • 3 + 138977 = 138980
  • 13 + 138967 = 138980
  • 43 + 138937 = 138980
  • 97 + 138883 = 138980
  • 139 + 138841 = 138980
  • 151 + 138829 = 138980
  • 181 + 138799 = 138980
  • 241 + 138739 = 138980

Showing the first eight; more decompositions exist.

Unicode codepoint
𡻤
CJK Unified Ideograph-21Ee4
U+21EE4
Other letter (Lo)

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

Hex color
#021EE4
RGB(2, 30, 228)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.30.228.

Address
0.2.30.228
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.30.228

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 138,980 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 138980 first appears in π at position 305,444 of the decimal expansion (the 305,444ordinal-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.