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138,164

138,164 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.).

138,164 (one hundred thirty-eight thousand one hundred sixty-four) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 13 × 2,657. Written other ways, in hexadecimal, 0x21BB4.

Arithmetic Number Cube-Free Deficient Number Odious Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
576
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
461,831
Recamán's sequence
a(492,499) = 138,164
Square (n²)
19,089,290,896
Cube (n³)
2,637,452,787,354,944
Divisor count
12
σ(n) — sum of divisors
260,484
φ(n) — Euler's totient
63,744
Sum of prime factors
2,674

Primality

Prime factorization: 2 2 × 13 × 2657

Nearest primes: 138,163 (−1) · 138,179 (+15)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 13 · 26 · 52 · 2657 · 5314 · 10628 · 34541 · 69082 (half) · 138164
Aliquot sum (sum of proper divisors): 122,320
Factor pairs (a × b = 138,164)
1 × 138164
2 × 69082
4 × 34541
13 × 10628
26 × 5314
52 × 2657
First multiples
138,164 · 276,328 (double) · 414,492 · 552,656 · 690,820 · 828,984 · 967,148 · 1,105,312 · 1,243,476 · 1,381,640

Sums & aliquot sequence

As a sum of two squares: 100² + 358² = 230² + 292²
As consecutive integers: 17,267 + 17,268 + … + 17,274 10,622 + 10,623 + … + 10,634 1,277 + 1,278 + … + 1,380
Aliquot sequence: 138,164 122,320 190,160 252,148 226,946 120,058 60,032 78,688 76,292 57,226 39,542 23,314 11,660 15,556 11,674 7,226 3,616 — unresolved within range

Continued fraction of √n

√138,164 = [371; (1, 2, 2, 1, 1, 1, 2, 4, 2, 1, 4, 1, 1, 29, 5, 3, 5, 1, 1, 5, 1, 1, 1, 1, …)]

Representations

In words
one hundred thirty-eight thousand one hundred sixty-four
Ordinal
138164th
Binary
100001101110110100
Octal
415664
Hexadecimal
0x21BB4
Base64
Ahu0
One's complement
4,294,829,131 (32-bit)
Scientific notation
1.38164 × 10⁵
As a duration
138,164 s = 1 day, 14 hours, 22 minutes, 44 seconds
In other bases
ternary (3) 21000112012
quaternary (4) 201232310
quinary (5) 13410124
senary (6) 2543352
septenary (7) 1113545
nonary (9) 230465
undecimal (11) 94894
duodecimal (12) 67b58
tridecimal (13) 4ab70
tetradecimal (14) 384cc
pentadecimal (15) 2ae0e

As an angle

138,164° = 383 × 360° + 284°
284° ≈ 4.957 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρληρξδʹ
Mayan (base 20)
𝋱·𝋥·𝋨·𝋤
Chinese
一十三萬八千一百六十四
Chinese (financial)
壹拾參萬捌仟壹佰陸拾肆
In other modern scripts
Eastern Arabic ١٣٨١٦٤ Devanagari १३८१६४ Bengali ১৩৮১৬৪ Tamil ௧௩௮௧௬௪ Thai ๑๓๘๑๖๔ Tibetan ༡༣༨༡༦༤ Khmer ១៣៨១៦៤ Lao ໑໓໘໑໖໔ Burmese ၁၃၈၁၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138164, here are decompositions:

  • 7 + 138157 = 138164
  • 157 + 138007 = 138164
  • 181 + 137983 = 138164
  • 223 + 137941 = 138164
  • 337 + 137827 = 138164
  • 373 + 137791 = 138164
  • 421 + 137743 = 138164
  • 457 + 137707 = 138164

Showing the first eight; more decompositions exist.

Unicode codepoint
𡮴
CJK Unified Ideograph-21Bb4
U+21BB4
Other letter (Lo)

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

Hex color
#021BB4
RGB(2, 27, 180)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.27.180.

Address
0.2.27.180
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.27.180

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 138,164 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 138164 first appears in π at position 69,063 of the decimal expansion (the 69,063ordinal-suffix:rd 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.