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138,448

138,448 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.).

138,448 (one hundred thirty-eight thousand four hundred forty-eight) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 17 × 509. Its proper divisors sum to 146,132, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21CD0.

Abundant Number Arithmetic Number Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
28
Digit product
3,072
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
844,831
Recamán's sequence
a(491,931) = 138,448
Square (n²)
19,167,848,704
Cube (n³)
2,653,750,317,371,392
Divisor count
20
σ(n) — sum of divisors
284,580
φ(n) — Euler's totient
65,024
Sum of prime factors
534

Primality

Prime factorization: 2 4 × 17 × 509

Nearest primes: 138,433 (−15) · 138,449 (+1)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 8 · 16 · 17 · 34 · 68 · 136 · 272 · 509 · 1018 · 2036 · 4072 · 8144 · 8653 · 17306 · 34612 · 69224 (half) · 138448
Aliquot sum (sum of proper divisors): 146,132
Factor pairs (a × b = 138,448)
1 × 138448
2 × 69224
4 × 34612
8 × 17306
16 × 8653
17 × 8144
34 × 4072
68 × 2036
136 × 1018
272 × 509
First multiples
138,448 · 276,896 (double) · 415,344 · 553,792 · 692,240 · 830,688 · 969,136 · 1,107,584 · 1,246,032 · 1,384,480

Sums & aliquot sequence

As a sum of two squares: 8² + 372² = 168² + 332²
As consecutive integers: 8,136 + 8,137 + … + 8,152 4,311 + 4,312 + … + 4,342 18 + 19 + … + 526
Aliquot sequence: 138,448 146,132 164,332 164,388 301,532 368,788 368,844 614,964 1,025,164 1,232,756 1,232,812 1,232,868 2,310,812 2,310,868 2,310,924 4,688,628 7,814,604 — unresolved within range

Continued fraction of √n

√138,448 = [372; (11, 1, 1, 1, 2, 11, 3, 1, 45, 1, 3, 11, 2, 1, 1, 1, 11, 744)]

Period length 18 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-eight thousand four hundred forty-eight
Ordinal
138448th
Binary
100001110011010000
Octal
416320
Hexadecimal
0x21CD0
Base64
AhzQ
One's complement
4,294,828,847 (32-bit)
Scientific notation
1.38448 × 10⁵
As a duration
138,448 s = 1 day, 14 hours, 27 minutes, 28 seconds
In other bases
ternary (3) 21000220201
quaternary (4) 201303100
quinary (5) 13412243
senary (6) 2544544
septenary (7) 1114432
nonary (9) 230821
undecimal (11) 95022
duodecimal (12) 68154
tridecimal (13) 4b02b
tetradecimal (14) 38652
pentadecimal (15) 2b04d

As an angle

138,448° = 384 × 360° + 208°
208° ≈ 3.63 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρληυμηʹ
Mayan (base 20)
𝋱·𝋦·𝋢·𝋨
Chinese
一十三萬八千四百四十八
Chinese (financial)
壹拾參萬捌仟肆佰肆拾捌
In other modern scripts
Eastern Arabic ١٣٨٤٤٨ Devanagari १३८४४८ Bengali ১৩৮৪৪৮ Tamil ௧௩௮௪௪௮ Thai ๑๓๘๔๔๘ Tibetan ༡༣༨༤༤༨ Khmer ១៣៨៤៤៨ Lao ໑໓໘໔໔໘ Burmese ၁၃၈၄၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138448, here are decompositions:

  • 41 + 138407 = 138448
  • 47 + 138401 = 138448
  • 59 + 138389 = 138448
  • 137 + 138311 = 138448
  • 197 + 138251 = 138448
  • 239 + 138209 = 138448
  • 251 + 138197 = 138448
  • 257 + 138191 = 138448

Showing the first eight; more decompositions exist.

Unicode codepoint
𡳐
CJK Unified Ideograph-21Cd0
U+21CD0
Other letter (Lo)

UTF-8 encoding: F0 A1 B3 90 (4 bytes).

Hex color
#021CD0
RGB(2, 28, 208)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.28.208.

Address
0.2.28.208
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.28.208

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 138,448 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 138448 first appears in π at position 967,514 of the decimal expansion (the 967,514ordinal-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