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138,474

138,474 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.).

138,474 (one hundred thirty-eight thousand four hundred seventy-four) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2 × 3² × 7² × 157. Its proper divisors sum to 212,760, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21CEA.

Abundant Number Cube-Free Gapful Number Odious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
27
Digit product
2,688
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
474,831
Recamán's sequence
a(491,879) = 138,474
Square (n²)
19,175,048,676
Cube (n³)
2,655,245,690,360,424
Divisor count
36
σ(n) — sum of divisors
351,234
φ(n) — Euler's totient
39,312
Sum of prime factors
179

Primality

Prime factorization: 2 × 3 2 × 7 2 × 157

Nearest primes: 138,469 (−5) · 138,493 (+19)

Divisors & multiples

All divisors (36)
1 · 2 · 3 · 6 · 7 · 9 · 14 · 18 · 21 · 42 · 49 · 63 · 98 · 126 · 147 · 157 · 294 · 314 · 441 · 471 · 882 · 942 · 1099 · 1413 · 2198 · 2826 · 3297 · 6594 · 7693 · 9891 · 15386 · 19782 · 23079 · 46158 · 69237 (half) · 138474
Aliquot sum (sum of proper divisors): 212,760
Factor pairs (a × b = 138,474)
1 × 138474
2 × 69237
3 × 46158
6 × 23079
7 × 19782
9 × 15386
14 × 9891
18 × 7693
21 × 6594
42 × 3297
49 × 2826
63 × 2198
98 × 1413
126 × 1099
147 × 942
157 × 882
294 × 471
314 × 441
First multiples
138,474 · 276,948 (double) · 415,422 · 553,896 · 692,370 · 830,844 · 969,318 · 1,107,792 · 1,246,266 · 1,384,740

Sums & aliquot sequence

As a sum of two squares: 105² + 357²
As consecutive integers: 46,157 + 46,158 + 46,159 34,617 + 34,618 + 34,619 + 34,620 19,779 + 19,780 + … + 19,785 15,382 + 15,383 + … + 15,390
Aliquot sequence: 138,474 212,760 500,040 1,170,360 2,634,480 6,215,400 15,211,800 37,935,840 88,618,560 192,748,416 392,388,864 822,556,560 2,309,242,992 4,699,696,800 10,741,627,392 — keeps growing

Continued fraction of √n

√138,474 = [372; (8, 3, 1, 2, 1, 2, 1, 1, 2, 1, 7, 1, 1, 1, 3, 1, 4, 12, 1, 1, 1, 1, 1, 6, …)]

Period length 56 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-eight thousand four hundred seventy-four
Ordinal
138474th
Binary
100001110011101010
Octal
416352
Hexadecimal
0x21CEA
Base64
Ahzq
One's complement
4,294,828,821 (32-bit)
Scientific notation
1.38474 × 10⁵
As a duration
138,474 s = 1 day, 14 hours, 27 minutes, 54 seconds
In other bases
ternary (3) 21000221200
quaternary (4) 201303222
quinary (5) 13412344
senary (6) 2545030
septenary (7) 1114500
nonary (9) 230850
undecimal (11) 95046
duodecimal (12) 68176
tridecimal (13) 4b04b
tetradecimal (14) 38670
pentadecimal (15) 2b069

As an angle

138,474° = 384 × 360° + 234°
234° ≈ 4.084 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρληυοδʹ
Mayan (base 20)
𝋱·𝋦·𝋣·𝋮
Chinese
一十三萬八千四百七十四
Chinese (financial)
壹拾參萬捌仟肆佰柒拾肆
In other modern scripts
Eastern Arabic ١٣٨٤٧٤ Devanagari १३८४७४ Bengali ১৩৮৪৭৪ Tamil ௧௩௮௪௭௪ Thai ๑๓๘๔๗๔ Tibetan ༡༣༨༤༧༤ Khmer ១៣៨៤៧៤ Lao ໑໓໘໔໗໔ Burmese ၁၃၈၄၇၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138474, here are decompositions:

  • 5 + 138469 = 138474
  • 13 + 138461 = 138474
  • 23 + 138451 = 138474
  • 41 + 138433 = 138474
  • 47 + 138427 = 138474
  • 67 + 138407 = 138474
  • 71 + 138403 = 138474
  • 73 + 138401 = 138474

Showing the first eight; more decompositions exist.

Unicode codepoint
𡳪
CJK Unified Ideograph-21Cea
U+21CEA
Other letter (Lo)

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

Hex color
#021CEA
RGB(2, 28, 234)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.28.234.

Address
0.2.28.234
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.28.234

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 138,474 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 138474 first appears in π at position 237,297 of the decimal expansion (the 237,297ordinal-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°.