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138,170

138,170 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.).

138,170 (one hundred thirty-eight thousand one hundred seventy) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 5 × 41 × 337. Written other ways, in hexadecimal, 0x21BBA.

Cube-Free Deficient Number Evil Number Gapful Number Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
71,831
Recamán's sequence
a(492,487) = 138,170
Square (n²)
19,090,948,900
Cube (n³)
2,637,796,409,513,000
Divisor count
16
σ(n) — sum of divisors
255,528
φ(n) — Euler's totient
53,760
Sum of prime factors
385

Primality

Prime factorization: 2 × 5 × 41 × 337

Nearest primes: 138,163 (−7) · 138,179 (+9)

Divisors & multiples

All divisors (16)
1 · 2 · 5 · 10 · 41 · 82 · 205 · 337 · 410 · 674 · 1685 · 3370 · 13817 · 27634 · 69085 (half) · 138170
Aliquot sum (sum of proper divisors): 117,358
Factor pairs (a × b = 138,170)
1 × 138170
2 × 69085
5 × 27634
10 × 13817
41 × 3370
82 × 1685
205 × 674
337 × 410
First multiples
138,170 · 276,340 (double) · 414,510 · 552,680 · 690,850 · 829,020 · 967,190 · 1,105,360 · 1,243,530 · 1,381,700

Sums & aliquot sequence

As a sum of two squares: 23² + 371² = 59² + 367² = 173² + 329² = 241² + 283²
As consecutive integers: 34,541 + 34,542 + 34,543 + 34,544 27,632 + 27,633 + 27,634 + 27,635 + 27,636 6,899 + 6,900 + … + 6,918 3,350 + 3,351 + … + 3,390
Aliquot sequence: 138,170 117,358 58,682 40,270 32,234 17,014 9,194 4,600 6,560 9,316 8,072 7,078 3,542 3,370 2,714 1,606 1,058 — unresolved within range

Continued fraction of √n

√138,170 = [371; (1, 2, 2, 9, 1, 1, 1, 1, 1, 1, 1, 1, 9, 2, 2, 1, 742)]

Period length 17 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-eight thousand one hundred seventy
Ordinal
138170th
Binary
100001101110111010
Octal
415672
Hexadecimal
0x21BBA
Base64
Ahu6
One's complement
4,294,829,125 (32-bit)
Scientific notation
1.3817 × 10⁵
As a duration
138,170 s = 1 day, 14 hours, 22 minutes, 50 seconds
In other bases
ternary (3) 21000112102
quaternary (4) 201232322
quinary (5) 13410140
senary (6) 2543402
septenary (7) 1113554
nonary (9) 230472
undecimal (11) 9489a
duodecimal (12) 67b62
tridecimal (13) 4ab76
tetradecimal (14) 384d4
pentadecimal (15) 2ae15

As an angle

138,170° = 383 × 360° + 290°
290° ≈ 5.061 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρληροʹ
Mayan (base 20)
𝋱·𝋥·𝋨·𝋪
Chinese
一十三萬八千一百七十
Chinese (financial)
壹拾參萬捌仟壹佰柒拾
In other modern scripts
Eastern Arabic ١٣٨١٧٠ Devanagari १३८१७० Bengali ১৩৮১৭০ Tamil ௧௩௮௧௭௦ Thai ๑๓๘๑๗๐ Tibetan ༡༣༨༡༧༠ Khmer ១៣៨១៧០ Lao ໑໓໘໑໗໐ Burmese ၁၃၈၁၇၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138170, here are decompositions:

  • 7 + 138163 = 138170
  • 13 + 138157 = 138170
  • 31 + 138139 = 138170
  • 163 + 138007 = 138170
  • 223 + 137947 = 138170
  • 229 + 137941 = 138170
  • 367 + 137803 = 138170
  • 379 + 137791 = 138170

Showing the first eight; more decompositions exist.

Unicode codepoint
𡮺
CJK Unified Ideograph-21Bba
U+21BBA
Other letter (Lo)

UTF-8 encoding: F0 A1 AE BA (4 bytes).

Hex color
#021BBA
RGB(2, 27, 186)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.27.186.

Address
0.2.27.186
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.27.186

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 138,170 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 138170 first appears in π at position 185,715 of the decimal expansion (the 185,715ordinal-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.