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164,138

164,138 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.).

164,138 (one hundred sixty-four thousand one hundred thirty-eight) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 13 × 59 × 107. Written other ways, in hexadecimal, 0x2812A.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
576
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
831,461
Recamán's sequence
a(196,936) = 164,138
Square (n²)
26,941,283,044
Cube (n³)
4,422,088,316,276,072
Divisor count
16
σ(n) — sum of divisors
272,160
φ(n) — Euler's totient
73,776
Sum of prime factors
181

Primality

Prime factorization: 2 × 13 × 59 × 107

Nearest primes: 164,117 (−21) · 164,147 (+9)

Divisors & multiples

All divisors (16)
1 · 2 · 13 · 26 · 59 · 107 · 118 · 214 · 767 · 1391 · 1534 · 2782 · 6313 · 12626 · 82069 (half) · 164138
Aliquot sum (sum of proper divisors): 108,022
Factor pairs (a × b = 164,138)
1 × 164138
2 × 82069
13 × 12626
26 × 6313
59 × 2782
107 × 1534
118 × 1391
214 × 767
First multiples
164,138 · 328,276 (double) · 492,414 · 656,552 · 820,690 · 984,828 · 1,148,966 · 1,313,104 · 1,477,242 · 1,641,380

Sums & aliquot sequence

As consecutive integers: 41,033 + 41,034 + 41,035 + 41,036 12,620 + 12,621 + … + 12,632 3,131 + 3,132 + … + 3,182 2,753 + 2,754 + … + 2,811
Aliquot sequence: 164,138 108,022 54,014 28,066 14,036 13,894 6,950 6,070 4,874 2,440 3,140 3,496 3,704 3,256 3,584 4,600 6,560 — unresolved within range

Continued fraction of √n

√164,138 = [405; (7, 5, 1, 9, 2, 2, 1, 1, 1, 1, 7, 3, 1, 15, 1, 3, 1, 1, 20, 1, 3, 3, 2, 6, …)]

Period length 48 — the block in parentheses repeats forever.

Representations

In words
one hundred sixty-four thousand one hundred thirty-eight
Ordinal
164138th
Binary
101000000100101010
Octal
500452
Hexadecimal
0x2812A
Base64
AoEq
One's complement
4,294,803,157 (32-bit)
Scientific notation
1.64138 × 10⁵
As a duration
164,138 s = 1 day, 21 hours, 35 minutes, 38 seconds
In other bases
ternary (3) 22100011012
quaternary (4) 220010222
quinary (5) 20223023
senary (6) 3303522
septenary (7) 1252352
nonary (9) 270135
undecimal (11) 102357
duodecimal (12) 7aba2
tridecimal (13) 59930
tetradecimal (14) 43b62
pentadecimal (15) 33978

As an angle

164,138° = 455 × 360° + 338°
338° ≈ 5.899 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρξδρληʹ
Chinese
一十六萬四千一百三十八
Chinese (financial)
壹拾陸萬肆仟壹佰參拾捌
In other modern scripts
Eastern Arabic ١٦٤١٣٨ Devanagari १६४१३८ Bengali ১৬৪১৩৮ Tamil ௧௬௪௧௩௮ Thai ๑๖๔๑๓๘ Tibetan ༡༦༤༡༣༨ Khmer ១៦៤១៣៨ Lao ໑໖໔໑໓໘ Burmese ၁၆၄၁၃၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 164138, here are decompositions:

  • 67 + 164071 = 164138
  • 127 + 164011 = 164138
  • 151 + 163987 = 164138
  • 157 + 163981 = 164138
  • 211 + 163927 = 164138
  • 229 + 163909 = 164138
  • 277 + 163861 = 164138
  • 349 + 163789 = 164138

Showing the first eight; more decompositions exist.

Unicode codepoint
𨄪
CJK Unified Ideograph-2812A
U+2812A
Other letter (Lo)

UTF-8 encoding: F0 A8 84 AA (4 bytes).

Hex color
#02812A
RGB(2, 129, 42)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.129.42.

Address
0.2.129.42
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.129.42

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 164,138 and was likely granted around 1874.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 164138 first appears in π at position 826,006 of the decimal expansion (the 826,006ordinal-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°.