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138,462

138,462 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.).

138,462 (one hundred thirty-eight thousand four hundred sixty-two) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 47 × 491. Its proper divisors sum to 144,930, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21CDE.

Abundant Number Arithmetic Number Cube-Free Evil Number Happy Number Recamán's Sequence Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
1,152
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
264,831
Recamán's sequence
a(491,903) = 138,462
Square (n²)
19,171,725,444
Cube (n³)
2,654,555,448,427,128
Divisor count
16
σ(n) — sum of divisors
283,392
φ(n) — Euler's totient
45,080
Sum of prime factors
543

Primality

Prime factorization: 2 × 3 × 47 × 491

Nearest primes: 138,461 (−1) · 138,469 (+7)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 6 · 47 · 94 · 141 · 282 · 491 · 982 · 1473 · 2946 · 23077 · 46154 · 69231 (half) · 138462
Aliquot sum (sum of proper divisors): 144,930
Factor pairs (a × b = 138,462)
1 × 138462
2 × 69231
3 × 46154
6 × 23077
47 × 2946
94 × 1473
141 × 982
282 × 491
First multiples
138,462 · 276,924 (double) · 415,386 · 553,848 · 692,310 · 830,772 · 969,234 · 1,107,696 · 1,246,158 · 1,384,620

Sums & aliquot sequence

As consecutive integers: 46,153 + 46,154 + 46,155 34,614 + 34,615 + 34,616 + 34,617 11,533 + 11,534 + … + 11,544 2,923 + 2,924 + … + 2,969
Aliquot sequence: 138,462 144,930 202,974 202,986 319,734 417,546 487,176 756,984 1,135,536 1,874,688 3,116,760 6,732,840 14,535,960 30,586,440 61,173,240 126,766,200 301,956,360 — unresolved within range

Continued fraction of √n

√138,462 = [372; (9, 1, 1, 5, 1, 3, 1, 1, 3, 1, 8, 1, 7, 1, 1, 1, 10, 7, 1, 1, 2, 1, 2, 4, …)]

Representations

In words
one hundred thirty-eight thousand four hundred sixty-two
Ordinal
138462nd
Binary
100001110011011110
Octal
416336
Hexadecimal
0x21CDE
Base64
Ahze
One's complement
4,294,828,833 (32-bit)
Scientific notation
1.38462 × 10⁵
As a duration
138,462 s = 1 day, 14 hours, 27 minutes, 42 seconds
In other bases
ternary (3) 21000221020
quaternary (4) 201303132
quinary (5) 13412322
senary (6) 2545010
septenary (7) 1114452
nonary (9) 230836
undecimal (11) 95035
duodecimal (12) 68166
tridecimal (13) 4b03c
tetradecimal (14) 38662
pentadecimal (15) 2b05c

As an angle

138,462° = 384 × 360° + 222°
222° ≈ 3.875 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρληυξβʹ
Mayan (base 20)
𝋱·𝋦·𝋣·𝋢
Chinese
一十三萬八千四百六十二
Chinese (financial)
壹拾參萬捌仟肆佰陸拾貳
In other modern scripts
Eastern Arabic ١٣٨٤٦٢ Devanagari १३८४६२ Bengali ১৩৮৪৬২ Tamil ௧௩௮௪௬௨ Thai ๑๓๘๔๖๒ Tibetan ༡༣༨༤༦༢ Khmer ១៣៨៤៦២ Lao ໑໓໘໔໖໒ Burmese ၁၃၈၄၆၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138462, here are decompositions:

  • 11 + 138451 = 138462
  • 13 + 138449 = 138462
  • 29 + 138433 = 138462
  • 59 + 138403 = 138462
  • 61 + 138401 = 138462
  • 73 + 138389 = 138462
  • 89 + 138373 = 138462
  • 113 + 138349 = 138462

Showing the first eight; more decompositions exist.

Unicode codepoint
𡳞
CJK Unified Ideograph-21Cde
U+21CDE
Other letter (Lo)

UTF-8 encoding: F0 A1 B3 9E (4 bytes).

Hex color
#021CDE
RGB(2, 28, 222)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.28.222.

Address
0.2.28.222
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.28.222

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 138,462 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 138462 first appears in π at position 392,039 of the decimal expansion (the 392,039ordinal-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°.