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138,098

138,098 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.).

138,098 (one hundred thirty-eight thousand ninety-eight) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 29 × 2,381. Written other ways, in hexadecimal, 0x21B72.

Cube-Free Deficient Number Happy Number Harshad / Niven Odious Number Recamán's Sequence Self Number Sphenic Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
29
Digit product
0
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
890,831
Recamán's sequence
a(492,631) = 138,098
Square (n²)
19,071,057,604
Cube (n³)
2,633,674,912,997,192
Divisor count
8
σ(n) — sum of divisors
214,380
φ(n) — Euler's totient
66,640
Sum of prime factors
2,412

Primality

Prime factorization: 2 × 29 × 2381

Nearest primes: 138,079 (−19) · 138,101 (+3)

Divisors & multiples

All divisors (8)
1 · 2 · 29 · 58 · 2381 · 4762 · 69049 (half) · 138098
Aliquot sum (sum of proper divisors): 76,282
Factor pairs (a × b = 138,098)
1 × 138098
2 × 69049
29 × 4762
58 × 2381
First multiples
138,098 · 276,196 (double) · 414,294 · 552,392 · 690,490 · 828,588 · 966,686 · 1,104,784 · 1,242,882 · 1,380,980

Sums & aliquot sequence

As a sum of two squares: 133² + 347² = 143² + 343²
As consecutive integers: 34,523 + 34,524 + 34,525 + 34,526 4,748 + 4,749 + … + 4,776 1,133 + 1,134 + … + 1,248
Aliquot sequence: 138,098 76,282 40,934 21,394 12,446 9,442 4,724 3,550 3,146 2,440 3,140 3,496 3,704 3,256 3,584 4,600 6,560 — unresolved within range

Continued fraction of √n

√138,098 = [371; (1, 1, 1, 1, 1, 1, 742)]

Period length 7 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-eight thousand ninety-eight
Ordinal
138098th
Binary
100001101101110010
Octal
415562
Hexadecimal
0x21B72
Base64
Ahty
One's complement
4,294,829,197 (32-bit)
Scientific notation
1.38098 × 10⁵
As a duration
138,098 s = 1 day, 14 hours, 21 minutes, 38 seconds
In other bases
ternary (3) 21000102202
quaternary (4) 201231302
quinary (5) 13404343
senary (6) 2543202
septenary (7) 1113422
nonary (9) 230382
undecimal (11) 94834
duodecimal (12) 67b02
tridecimal (13) 4ab1c
tetradecimal (14) 38482
pentadecimal (15) 2adb8

As an angle

138,098° = 383 × 360° + 218°
218° ≈ 3.805 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρληϟηʹ
Mayan (base 20)
𝋱·𝋥·𝋤·𝋲
Chinese
一十三萬八千零九十八
Chinese (financial)
壹拾參萬捌仟零玖拾捌
In other modern scripts
Eastern Arabic ١٣٨٠٩٨ Devanagari १३८०९८ Bengali ১৩৮০৯৮ Tamil ௧௩௮௦௯௮ Thai ๑๓๘๐๙๘ Tibetan ༡༣༨༠༩༨ Khmer ១៣៨០៩៨ Lao ໑໓໘໐໙໘ Burmese ၁၃၈၀၉၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138098, here are decompositions:

  • 19 + 138079 = 138098
  • 151 + 137947 = 138098
  • 157 + 137941 = 138098
  • 229 + 137869 = 138098
  • 271 + 137827 = 138098
  • 307 + 137791 = 138098
  • 439 + 137659 = 138098
  • 607 + 137491 = 138098

Showing the first eight; more decompositions exist.

Unicode codepoint
𡭲
CJK Unified Ideograph-21B72
U+21B72
Other letter (Lo)

UTF-8 encoding: F0 A1 AD B2 (4 bytes).

Hex color
#021B72
RGB(2, 27, 114)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.27.114.

Address
0.2.27.114
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.27.114

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 138,098 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 138098 first appears in π at position 515,954 of the decimal expansion (the 515,954ordinal-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.