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138,464

138,464 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.).

138,464 (one hundred thirty-eight thousand four hundred sixty-four) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2⁵ × 4,327. Written other ways, in hexadecimal, 0x21CE0.

Arithmetic Number Deficient Number Odious Number Pernicious Number Recamán's Sequence Smith Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
26
Digit product
2,304
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
464,831
Recamán's sequence
a(491,899) = 138,464
Square (n²)
19,172,279,296
Cube (n³)
2,654,670,480,441,344
Divisor count
12
σ(n) — sum of divisors
272,664
φ(n) — Euler's totient
69,216
Sum of prime factors
4,337

Primality

Prime factorization: 2 5 × 4327

Nearest primes: 138,461 (−3) · 138,469 (+5)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 8 · 16 · 32 · 4327 · 8654 · 17308 · 34616 · 69232 (half) · 138464
Aliquot sum (sum of proper divisors): 134,200
Factor pairs (a × b = 138,464)
1 × 138464
2 × 69232
4 × 34616
8 × 17308
16 × 8654
32 × 4327
First multiples
138,464 · 276,928 (double) · 415,392 · 553,856 · 692,320 · 830,784 · 969,248 · 1,107,712 · 1,246,176 · 1,384,640

Sums & aliquot sequence

As consecutive integers: 2,132 + 2,133 + … + 2,195
Aliquot sequence: 138,464 134,200 211,760 280,768 295,304 258,406 137,594 71,386 51,014 28,906 15,194 8,134 6,230 6,730 5,402 3,034 1,754 — unresolved within range

Continued fraction of √n

√138,464 = [372; (9, 3, 3, 7, 7, 11, 3, 4, 3, 2, 1, 7, 1, 1, 1, 43, 8, 15, 15, 1, 3, 3, 5, 1, …)]

Representations

In words
one hundred thirty-eight thousand four hundred sixty-four
Ordinal
138464th
Binary
100001110011100000
Octal
416340
Hexadecimal
0x21CE0
Base64
Ahzg
One's complement
4,294,828,831 (32-bit)
Scientific notation
1.38464 × 10⁵
As a duration
138,464 s = 1 day, 14 hours, 27 minutes, 44 seconds
In other bases
ternary (3) 21000221022
quaternary (4) 201303200
quinary (5) 13412324
senary (6) 2545012
septenary (7) 1114454
nonary (9) 230838
undecimal (11) 95037
duodecimal (12) 68168
tridecimal (13) 4b041
tetradecimal (14) 38664
pentadecimal (15) 2b05e

As an angle

138,464° = 384 × 360° + 224°
224° ≈ 3.91 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρληυξδʹ
Mayan (base 20)
𝋱·𝋦·𝋣·𝋤
Chinese
一十三萬八千四百六十四
Chinese (financial)
壹拾參萬捌仟肆佰陸拾肆
In other modern scripts
Eastern Arabic ١٣٨٤٦٤ Devanagari १३८४६४ Bengali ১৩৮৪৬৪ Tamil ௧௩௮௪௬௪ Thai ๑๓๘๔๖๔ Tibetan ༡༣༨༤༦༤ Khmer ១៣៨៤៦៤ Lao ໑໓໘໔໖໔ Burmese ၁၃၈၄၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138464, here are decompositions:

  • 3 + 138461 = 138464
  • 13 + 138451 = 138464
  • 31 + 138433 = 138464
  • 37 + 138427 = 138464
  • 61 + 138403 = 138464
  • 127 + 138337 = 138464
  • 181 + 138283 = 138464
  • 223 + 138241 = 138464

Showing the first eight; more decompositions exist.

Unicode codepoint
𡳠
CJK Unified Ideograph-21Ce0
U+21CE0
Other letter (Lo)

UTF-8 encoding: F0 A1 B3 A0 (4 bytes).

Hex color
#021CE0
RGB(2, 28, 224)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.28.224.

Address
0.2.28.224
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.28.224

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 138,464 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 138464 first appears in π at position 241,866 of the decimal expansion (the 241,866ordinal-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.