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138,498

138,498 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.).

138,498 (one hundred thirty-eight thousand four hundred ninety-eight) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 41 × 563. Its proper divisors sum to 145,758, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21D02.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
33
Digit product
6,912
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
894,831
Recamán's sequence
a(491,831) = 138,498
Square (n²)
19,181,696,004
Cube (n³)
2,656,626,533,161,992
Divisor count
16
σ(n) — sum of divisors
284,256
φ(n) — Euler's totient
44,960
Sum of prime factors
609

Primality

Prime factorization: 2 × 3 × 41 × 563

Nearest primes: 138,497 (−1) · 138,511 (+13)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 6 · 41 · 82 · 123 · 246 · 563 · 1126 · 1689 · 3378 · 23083 · 46166 · 69249 (half) · 138498
Aliquot sum (sum of proper divisors): 145,758
Factor pairs (a × b = 138,498)
1 × 138498
2 × 69249
3 × 46166
6 × 23083
41 × 3378
82 × 1689
123 × 1126
246 × 563
First multiples
138,498 · 276,996 (double) · 415,494 · 553,992 · 692,490 · 830,988 · 969,486 · 1,107,984 · 1,246,482 · 1,384,980

Sums & aliquot sequence

As consecutive integers: 46,165 + 46,166 + 46,167 34,623 + 34,624 + 34,625 + 34,626 11,536 + 11,537 + … + 11,547 3,358 + 3,359 + … + 3,398
Aliquot sequence: 138,498 145,758 163,122 174,030 243,714 248,766 319,938 319,950 580,290 924,798 1,220,226 1,734,654 1,734,666 1,734,678 2,365,938 2,760,300 5,894,528 — unresolved within range

Continued fraction of √n

√138,498 = [372; (6, 1, 1, 8, 1, 1, 6, 744)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-eight thousand four hundred ninety-eight
Ordinal
138498th
Binary
100001110100000010
Octal
416402
Hexadecimal
0x21D02
Base64
Ah0C
One's complement
4,294,828,797 (32-bit)
Scientific notation
1.38498 × 10⁵
As a duration
138,498 s = 1 day, 14 hours, 28 minutes, 18 seconds
In other bases
ternary (3) 21000222120
quaternary (4) 201310002
quinary (5) 13412443
senary (6) 2545110
septenary (7) 1114533
nonary (9) 230876
undecimal (11) 95068
duodecimal (12) 68196
tridecimal (13) 4b069
tetradecimal (14) 3868a
pentadecimal (15) 2b083

As an angle

138,498° = 384 × 360° + 258°
258° ≈ 4.503 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρληυϟηʹ
Mayan (base 20)
𝋱·𝋦·𝋤·𝋲
Chinese
一十三萬八千四百九十八
Chinese (financial)
壹拾參萬捌仟肆佰玖拾捌
In other modern scripts
Eastern Arabic ١٣٨٤٩٨ Devanagari १३८४९८ Bengali ১৩৮৪৯৮ Tamil ௧௩௮௪௯௮ Thai ๑๓๘๔๙๘ Tibetan ༡༣༨༤༩༨ Khmer ១៣៨៤៩៨ Lao ໑໓໘໔໙໘ Burmese ၁၃၈၄၉၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138498, here are decompositions:

  • 5 + 138493 = 138498
  • 29 + 138469 = 138498
  • 37 + 138461 = 138498
  • 47 + 138451 = 138498
  • 71 + 138427 = 138498
  • 97 + 138401 = 138498
  • 109 + 138389 = 138498
  • 127 + 138371 = 138498

Showing the first eight; more decompositions exist.

Unicode codepoint
𡴂
CJK Unified Ideograph-21D02
U+21D02
Other letter (Lo)

UTF-8 encoding: F0 A1 B4 82 (4 bytes).

Hex color
#021D02
RGB(2, 29, 2)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.29.2.

Address
0.2.29.2
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.29.2

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 138,498 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 138498 first appears in π at position 10,301 of the decimal expansion (the 10,301ordinal-suffix:st 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°.