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138,324

138,324 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.).

138,324 (one hundred thirty-eight thousand three hundred twenty-four) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 11,527. Its proper divisors sum to 184,460, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21C54.

Abundant Number Cube-Free Happy Number Odious Number Pernicious Number Recamán's Sequence Refactorable Number Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
576
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
423,831
Recamán's sequence
a(492,179) = 138,324
Square (n²)
19,133,528,976
Cube (n³)
2,646,626,262,076,224
Divisor count
12
σ(n) — sum of divisors
322,784
φ(n) — Euler's totient
46,104
Sum of prime factors
11,534

Primality

Prime factorization: 2 2 × 3 × 11527

Nearest primes: 138,323 (−1) · 138,337 (+13)

Divisors & multiples

All divisors (12)
1 · 2 · 3 · 4 · 6 · 12 · 11527 · 23054 · 34581 · 46108 · 69162 (half) · 138324
Aliquot sum (sum of proper divisors): 184,460
Factor pairs (a × b = 138,324)
1 × 138324
2 × 69162
3 × 46108
4 × 34581
6 × 23054
12 × 11527
First multiples
138,324 · 276,648 (double) · 414,972 · 553,296 · 691,620 · 829,944 · 968,268 · 1,106,592 · 1,244,916 · 1,383,240

Sums & aliquot sequence

As consecutive integers: 46,107 + 46,108 + 46,109 17,287 + 17,288 + … + 17,294 5,752 + 5,753 + … + 5,775
Aliquot sequence: 138,324 184,460 220,756 168,864 274,656 446,568 719,832 1,105,368 2,005,032 3,272,568 6,071,592 9,107,448 18,056,712 27,241,368 57,672,552 107,106,648 204,624,552 — unresolved within range

Continued fraction of √n

√138,324 = [371; (1, 11, 2, 1, 1, 29, 6, 2, 1, 1, 1, 3, 1, 2, 3, 3, 3, 1, 1, 2, 4, 6, 1, 5, …)]

Representations

In words
one hundred thirty-eight thousand three hundred twenty-four
Ordinal
138324th
Binary
100001110001010100
Octal
416124
Hexadecimal
0x21C54
Base64
AhxU
One's complement
4,294,828,971 (32-bit)
Scientific notation
1.38324 × 10⁵
As a duration
138,324 s = 1 day, 14 hours, 25 minutes, 24 seconds
In other bases
ternary (3) 21000202010
quaternary (4) 201301110
quinary (5) 13411244
senary (6) 2544220
septenary (7) 1114164
nonary (9) 230663
undecimal (11) 94a1a
duodecimal (12) 68070
tridecimal (13) 4ac64
tetradecimal (14) 385a4
pentadecimal (15) 2aeb9

As an angle

138,324° = 384 × 360° + 84°
84° ≈ 1.466 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλητκδʹ
Mayan (base 20)
𝋱·𝋥·𝋰·𝋤
Chinese
一十三萬八千三百二十四
Chinese (financial)
壹拾參萬捌仟參佰貳拾肆
In other modern scripts
Eastern Arabic ١٣٨٣٢٤ Devanagari १३८३२४ Bengali ১৩৮৩২৪ Tamil ௧௩௮௩௨௪ Thai ๑๓๘๓๒๔ Tibetan ༡༣༨༣༢༤ Khmer ១៣៨៣២៤ Lao ໑໓໘໓໒໔ Burmese ၁၃၈၃၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138324, here are decompositions:

  • 5 + 138319 = 138324
  • 13 + 138311 = 138324
  • 41 + 138283 = 138324
  • 73 + 138251 = 138324
  • 83 + 138241 = 138324
  • 127 + 138197 = 138324
  • 167 + 138157 = 138324
  • 181 + 138143 = 138324

Showing the first eight; more decompositions exist.

Unicode codepoint
𡱔
CJK Unified Ideograph-21C54
U+21C54
Other letter (Lo)

UTF-8 encoding: F0 A1 B1 94 (4 bytes).

Hex color
#021C54
RGB(2, 28, 84)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.28.84.

Address
0.2.28.84
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.28.84

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 138,324 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 138324 first appears in π at position 107,640 of the decimal expansion (the 107,640ordinal-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°.