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135,998

135,998 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.).

135,998 (one hundred thirty-five thousand nine hundred ninety-eight) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 53 × 1,283. Written other ways, in hexadecimal, 0x2133E.

Arithmetic Number Cube-Free Deficient Number Odious Number Sphenic Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
35
Digit product
9,720
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
899,531
Square (n²)
18,495,456,004
Cube (n³)
2,515,345,025,631,992
Divisor count
8
σ(n) — sum of divisors
208,008
φ(n) — Euler's totient
66,664
Sum of prime factors
1,338

Primality

Prime factorization: 2 × 53 × 1283

Nearest primes: 135,979 (−19) · 136,013 (+15)

Divisors & multiples

All divisors (8)
1 · 2 · 53 · 106 · 1283 · 2566 · 67999 (half) · 135998
Aliquot sum (sum of proper divisors): 72,010
Factor pairs (a × b = 135,998)
1 × 135998
2 × 67999
53 × 2566
106 × 1283
First multiples
135,998 · 271,996 (double) · 407,994 · 543,992 · 679,990 · 815,988 · 951,986 · 1,087,984 · 1,223,982 · 1,359,980

Sums & aliquot sequence

As consecutive integers: 33,998 + 33,999 + 34,000 + 34,001 2,540 + 2,541 + … + 2,592 536 + 537 + … + 747
Aliquot sequence: 135,998 72,010 64,790 73,450 74,978 37,492 44,044 60,228 114,492 208,068 347,004 754,740 1,866,060 4,607,316 9,020,844 17,040,100 29,081,948 — unresolved within range

Continued fraction of √n

√135,998 = [368; (1, 3, 1, 1, 9, 43, 3, 1, 1, 3, 1, 6, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 15, 12, …)]

Representations

In words
one hundred thirty-five thousand nine hundred ninety-eight
Ordinal
135998th
Binary
100001001100111110
Octal
411476
Hexadecimal
0x2133E
Base64
AhM+
One's complement
4,294,831,297 (32-bit)
Scientific notation
1.35998 × 10⁵
As a duration
135,998 s = 1 day, 13 hours, 46 minutes, 38 seconds
In other bases
ternary (3) 20220112222
quaternary (4) 201030332
quinary (5) 13322443
senary (6) 2525342
septenary (7) 1104332
nonary (9) 226488
undecimal (11) 931a5
duodecimal (12) 66852
tridecimal (13) 49b95
tetradecimal (14) 377c2
pentadecimal (15) 2a468

As an angle

135,998° = 377 × 360° + 278°
278° ≈ 4.852 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλεϡϟηʹ
Mayan (base 20)
𝋰·𝋳·𝋳·𝋲
Chinese
一十三萬五千九百九十八
Chinese (financial)
壹拾參萬伍仟玖佰玖拾捌
In other modern scripts
Eastern Arabic ١٣٥٩٩٨ Devanagari १३५९९८ Bengali ১৩৫৯৯৮ Tamil ௧௩௫௯௯௮ Thai ๑๓๕๙๙๘ Tibetan ༡༣༥༩༩༨ Khmer ១៣៥៩៩៨ Lao ໑໓໕໙໙໘ Burmese ၁၃၅၉၉၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 135998, here are decompositions:

  • 19 + 135979 = 135998
  • 61 + 135937 = 135998
  • 139 + 135859 = 135998
  • 157 + 135841 = 135998
  • 199 + 135799 = 135998
  • 211 + 135787 = 135998
  • 241 + 135757 = 135998
  • 271 + 135727 = 135998

Showing the first eight; more decompositions exist.

Unicode codepoint
𡌾
CJK Unified Ideograph-2133E
U+2133E
Other letter (Lo)

UTF-8 encoding: F0 A1 8C BE (4 bytes).

Hex color
#02133E
RGB(2, 19, 62)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.19.62.

Address
0.2.19.62
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.19.62

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 135,998 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 135998 first appears in π at position 209,459 of the decimal expansion (the 209,459ordinal-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.