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138,162

138,162 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.).

138,162 (one hundred thirty-eight thousand one hundred sixty-two) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 23,027. Its proper divisors sum to 138,174, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21BB2.

Abundant Number Arithmetic Number Cube-Free Odious Number Recamán's Sequence Semiperfect Number Sphenic Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
288
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
261,831
Recamán's sequence
a(492,503) = 138,162
Square (n²)
19,088,738,244
Cube (n³)
2,637,338,253,267,528
Divisor count
8
σ(n) — sum of divisors
276,336
φ(n) — Euler's totient
46,052
Sum of prime factors
23,032

Primality

Prime factorization: 2 × 3 × 23027

Nearest primes: 138,157 (−5) · 138,163 (+1)

Divisors & multiples

All divisors (8)
1 · 2 · 3 · 6 · 23027 · 46054 · 69081 (half) · 138162
Aliquot sum (sum of proper divisors): 138,174
Factor pairs (a × b = 138,162)
1 × 138162
2 × 69081
3 × 46054
6 × 23027
First multiples
138,162 · 276,324 (double) · 414,486 · 552,648 · 690,810 · 828,972 · 967,134 · 1,105,296 · 1,243,458 · 1,381,620

Sums & aliquot sequence

As consecutive integers: 46,053 + 46,054 + 46,055 34,539 + 34,540 + 34,541 + 34,542 11,508 + 11,509 + … + 11,519
Aliquot sequence: 138,162 138,174 138,186 171,816 257,784 416,136 773,304 1,436,616 2,603,784 4,394,616 6,750,984 10,126,536 19,969,464 30,520,536 49,797,864 85,071,546 137,374,854 — unresolved within range

Continued fraction of √n

√138,162 = [371; (1, 2, 2, 1, 5, 1, 370, 1, 5, 1, 2, 2, 1, 742)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-eight thousand one hundred sixty-two
Ordinal
138162nd
Binary
100001101110110010
Octal
415662
Hexadecimal
0x21BB2
Base64
Ahuy
One's complement
4,294,829,133 (32-bit)
Scientific notation
1.38162 × 10⁵
As a duration
138,162 s = 1 day, 14 hours, 22 minutes, 42 seconds
In other bases
ternary (3) 21000112010
quaternary (4) 201232302
quinary (5) 13410122
senary (6) 2543350
septenary (7) 1113543
nonary (9) 230463
undecimal (11) 94892
duodecimal (12) 67b56
tridecimal (13) 4ab6b
tetradecimal (14) 384ca
pentadecimal (15) 2ae0c

As an angle

138,162° = 383 × 360° + 282°
282° ≈ 4.922 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρληρξβʹ
Mayan (base 20)
𝋱·𝋥·𝋨·𝋢
Chinese
一十三萬八千一百六十二
Chinese (financial)
壹拾參萬捌仟壹佰陸拾貳
In other modern scripts
Eastern Arabic ١٣٨١٦٢ Devanagari १३८१६२ Bengali ১৩৮১৬২ Tamil ௧௩௮௧௬௨ Thai ๑๓๘๑๖๒ Tibetan ༡༣༨༡༦༢ Khmer ១៣៨១៦២ Lao ໑໓໘໑໖໒ Burmese ၁၃၈၁၆၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138162, here are decompositions:

  • 5 + 138157 = 138162
  • 19 + 138143 = 138162
  • 23 + 138139 = 138162
  • 61 + 138101 = 138162
  • 83 + 138079 = 138162
  • 103 + 138059 = 138162
  • 109 + 138053 = 138162
  • 163 + 137999 = 138162

Showing the first eight; more decompositions exist.

Unicode codepoint
𡮲
CJK Unified Ideograph-21Bb2
U+21BB2
Other letter (Lo)

UTF-8 encoding: F0 A1 AE B2 (4 bytes).

Hex color
#021BB2
RGB(2, 27, 178)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.27.178.

Address
0.2.27.178
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.27.178

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 138,162 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 138162 first appears in π at position 537,935 of the decimal expansion (the 537,935ordinal-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

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