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135,996

135,996 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.).

135,996 (one hundred thirty-five thousand nine hundred ninety-six) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 7 × 1,619. Its proper divisors sum to 226,884, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2133C.

Abundant Number Arithmetic Number Cube-Free Evil Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
33
Digit product
7,290
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
699,531
Square (n²)
18,494,912,016
Cube (n³)
2,515,234,054,527,936
Divisor count
24
σ(n) — sum of divisors
362,880
φ(n) — Euler's totient
38,832
Sum of prime factors
1,633

Primality

Prime factorization: 2 2 × 3 × 7 × 1619

Nearest primes: 135,979 (−17) · 136,013 (+17)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 4 · 6 · 7 · 12 · 14 · 21 · 28 · 42 · 84 · 1619 · 3238 · 4857 · 6476 · 9714 · 11333 · 19428 · 22666 · 33999 · 45332 · 67998 (half) · 135996
Aliquot sum (sum of proper divisors): 226,884
Factor pairs (a × b = 135,996)
1 × 135996
2 × 67998
3 × 45332
4 × 33999
6 × 22666
7 × 19428
12 × 11333
14 × 9714
21 × 6476
28 × 4857
42 × 3238
84 × 1619
First multiples
135,996 · 271,992 (double) · 407,988 · 543,984 · 679,980 · 815,976 · 951,972 · 1,087,968 · 1,223,964 · 1,359,960

Sums & aliquot sequence

As consecutive integers: 45,331 + 45,332 + 45,333 19,425 + 19,426 + … + 19,431 16,996 + 16,997 + … + 17,003 6,466 + 6,467 + … + 6,486
Aliquot sequence: 135,996 226,884 403,004 426,916 442,204 495,236 539,644 539,700 1,251,852 2,147,628 3,742,676 3,783,724 4,229,876 4,405,324 5,206,964 5,820,556 5,820,612 — unresolved within range

Continued fraction of √n

√135,996 = [368; (1, 3, 2, 8, 4, 3, 2, 1, 4, 2, 5, 1, 2, 1, 14, 1, 20, 7, 3, 19, 1, 1, 1, 1, …)]

Representations

In words
one hundred thirty-five thousand nine hundred ninety-six
Ordinal
135996th
Binary
100001001100111100
Octal
411474
Hexadecimal
0x2133C
Base64
AhM8
One's complement
4,294,831,299 (32-bit)
Scientific notation
1.35996 × 10⁵
As a duration
135,996 s = 1 day, 13 hours, 46 minutes, 36 seconds
In other bases
ternary (3) 20220112220
quaternary (4) 201030330
quinary (5) 13322441
senary (6) 2525340
septenary (7) 1104330
nonary (9) 226486
undecimal (11) 931a3
duodecimal (12) 66850
tridecimal (13) 49b93
tetradecimal (14) 377c0
pentadecimal (15) 2a466

As an angle

135,996° = 377 × 360° + 276°
276° ≈ 4.817 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλεϡϟϛʹ
Mayan (base 20)
𝋰·𝋳·𝋳·𝋰
Chinese
一十三萬五千九百九十六
Chinese (financial)
壹拾參萬伍仟玖佰玖拾陸
In other modern scripts
Eastern Arabic ١٣٥٩٩٦ Devanagari १३५९९६ Bengali ১৩৫৯৯৬ Tamil ௧௩௫௯௯௬ Thai ๑๓๕๙๙๖ Tibetan ༡༣༥༩༩༦ Khmer ១៣៥៩៩៦ Lao ໑໓໕໙໙໖ Burmese ၁၃၅၉၉၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 135996, here are decompositions:

  • 17 + 135979 = 135996
  • 19 + 135977 = 135996
  • 59 + 135937 = 135996
  • 67 + 135929 = 135996
  • 83 + 135913 = 135996
  • 97 + 135899 = 135996
  • 103 + 135893 = 135996
  • 109 + 135887 = 135996

Showing the first eight; more decompositions exist.

Unicode codepoint
𡌼
CJK Unified Ideograph-2133C
U+2133C
Other letter (Lo)

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

Hex color
#02133C
RGB(2, 19, 60)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.19.60.

Address
0.2.19.60
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.19.60

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 135,996 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 135996 first appears in π at position 640,468 of the decimal expansion (the 640,468ordinal-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°.