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138,676

138,676 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.).

138,676 (one hundred thirty-eight thousand six hundred seventy-six) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 37 × 937. Written other ways, in hexadecimal, 0x21DB4.

Cube-Free Deficient Number Odious Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
31
Digit product
6,048
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
676,831
Recamán's sequence
a(491,475) = 138,676
Square (n²)
19,231,032,976
Cube (n³)
2,666,882,728,979,776
Divisor count
12
σ(n) — sum of divisors
249,508
φ(n) — Euler's totient
67,392
Sum of prime factors
978

Primality

Prime factorization: 2 2 × 37 × 937

Nearest primes: 138,661 (−15) · 138,679 (+3)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 37 · 74 · 148 · 937 · 1874 · 3748 · 34669 · 69338 (half) · 138676
Aliquot sum (sum of proper divisors): 110,832
Factor pairs (a × b = 138,676)
1 × 138676
2 × 69338
4 × 34669
37 × 3748
74 × 1874
148 × 937
First multiples
138,676 · 277,352 (double) · 416,028 · 554,704 · 693,380 · 832,056 · 970,732 · 1,109,408 · 1,248,084 · 1,386,760

Sums & aliquot sequence

As a sum of two squares: 180² + 326² = 250² + 276²
As consecutive integers: 17,331 + 17,332 + … + 17,338 3,730 + 3,731 + … + 3,766 321 + 322 + … + 616
Aliquot sequence: 138,676 110,832 175,608 318,072 506,328 856,752 1,528,512 2,738,688 4,561,440 12,203,616 21,229,728 38,788,608 64,550,760 131,464,920 262,930,200 620,015,520 1,338,834,912 — unresolved within range

Continued fraction of √n

√138,676 = [372; (2, 1, 1, 4, 1, 1, 2, 1, 26, 1, 6, 2, 15, 20, 15, 2, 6, 1, 26, 1, 2, 1, 1, 4, …)]

Period length 28 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-eight thousand six hundred seventy-six
Ordinal
138676th
Binary
100001110110110100
Octal
416664
Hexadecimal
0x21DB4
Base64
Ah20
One's complement
4,294,828,619 (32-bit)
Scientific notation
1.38676 × 10⁵
As a duration
138,676 s = 1 day, 14 hours, 31 minutes, 16 seconds
In other bases
ternary (3) 21001020011
quaternary (4) 201312310
quinary (5) 13414201
senary (6) 2550004
septenary (7) 1115206
nonary (9) 231204
undecimal (11) 9520a
duodecimal (12) 68304
tridecimal (13) 4b175
tetradecimal (14) 38776
pentadecimal (15) 2b151

As an angle

138,676° = 385 × 360° + 76°
76° ≈ 1.326 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρληχοϛʹ
Mayan (base 20)
𝋱·𝋦·𝋭·𝋰
Chinese
一十三萬八千六百七十六
Chinese (financial)
壹拾參萬捌仟陸佰柒拾陸
In other modern scripts
Eastern Arabic ١٣٨٦٧٦ Devanagari १३८६७६ Bengali ১৩৮৬৭৬ Tamil ௧௩௮௬௭௬ Thai ๑๓๘๖๗๖ Tibetan ༡༣༨༦༧༦ Khmer ១៣៨៦៧៦ Lao ໑໓໘໖໗໖ Burmese ၁၃၈၆၇၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138676, here are decompositions:

  • 29 + 138647 = 138676
  • 47 + 138629 = 138676
  • 59 + 138617 = 138676
  • 89 + 138587 = 138676
  • 107 + 138569 = 138676
  • 113 + 138563 = 138676
  • 179 + 138497 = 138676
  • 227 + 138449 = 138676

Showing the first eight; more decompositions exist.

Unicode codepoint
𡶴
CJK Unified Ideograph-21Db4
U+21DB4
Other letter (Lo)

UTF-8 encoding: F0 A1 B6 B4 (4 bytes).

Hex color
#021DB4
RGB(2, 29, 180)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.29.180.

Address
0.2.29.180
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.29.180

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 138,676 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 138676 first appears in π at position 168,174 of the decimal expansion (the 168,174ordinal-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