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133,698

133,698 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.).

133,698 (one hundred thirty-three thousand six hundred ninety-eight) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 22,283. Its proper divisors sum to 133,710, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20A42.

Abundant Number Arithmetic Number Cube-Free Odious Number Pernicious Number Semiperfect Number Sphenic Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
30
Digit product
3,888
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
896,331
Square (n²)
17,875,155,204
Cube (n³)
2,389,872,500,464,392
Divisor count
8
σ(n) — sum of divisors
267,408
φ(n) — Euler's totient
44,564
Sum of prime factors
22,288

Primality

Prime factorization: 2 × 3 × 22283

Nearest primes: 133,697 (−1) · 133,709 (+11)

Divisors & multiples

All divisors (8)
1 · 2 · 3 · 6 · 22283 · 44566 · 66849 (half) · 133698
Aliquot sum (sum of proper divisors): 133,710
Factor pairs (a × b = 133,698)
1 × 133698
2 × 66849
3 × 44566
6 × 22283
First multiples
133,698 · 267,396 (double) · 401,094 · 534,792 · 668,490 · 802,188 · 935,886 · 1,069,584 · 1,203,282 · 1,336,980

Sums & aliquot sequence

As consecutive integers: 44,565 + 44,566 + 44,567 33,423 + 33,424 + 33,425 + 33,426 11,136 + 11,137 + … + 11,147
Aliquot sequence: 133,698 133,710 187,266 210,894 210,906 246,096 443,034 529,158 712,698 946,182 1,007,610 1,410,726 1,427,802 1,427,814 1,784,826 2,108,154 2,108,166 — unresolved within range

Continued fraction of √n

√133,698 = [365; (1, 1, 1, 5, 10, 1, 9, 2, 1, 1, 3, 5, 1, 3, 3, 1, 2, 1, 3, 1, 1, 1, 4, 2, …)]

Representations

In words
one hundred thirty-three thousand six hundred ninety-eight
Ordinal
133698th
Binary
100000101001000010
Octal
405102
Hexadecimal
0x20A42
Base64
AgpC
One's complement
4,294,833,597 (32-bit)
Scientific notation
1.33698 × 10⁵
As a duration
133,698 s = 1 day, 13 hours, 8 minutes, 18 seconds
In other bases
ternary (3) 20210101210
quaternary (4) 200221002
quinary (5) 13234243
senary (6) 2510550
septenary (7) 1064535
nonary (9) 223353
undecimal (11) 914a4
duodecimal (12) 65456
tridecimal (13) 48b16
tetradecimal (14) 36a1c
pentadecimal (15) 29933
Palindromic in base 12

As an angle

133,698° = 371 × 360° + 138°
138° ≈ 2.409 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγχϟηʹ
Mayan (base 20)
𝋰·𝋮·𝋤·𝋲
Chinese
一十三萬三千六百九十八
Chinese (financial)
壹拾參萬參仟陸佰玖拾捌
In other modern scripts
Eastern Arabic ١٣٣٦٩٨ Devanagari १३३६९८ Bengali ১৩৩৬৯৮ Tamil ௧௩௩௬௯௮ Thai ๑๓๓๖๙๘ Tibetan ༡༣༣༦༩༨ Khmer ១៣៣៦៩៨ Lao ໑໓໓໖໙໘ Burmese ၁၃၃၆၉၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133698, here are decompositions:

  • 7 + 133691 = 133698
  • 29 + 133669 = 133698
  • 41 + 133657 = 133698
  • 67 + 133631 = 133698
  • 101 + 133597 = 133698
  • 127 + 133571 = 133698
  • 139 + 133559 = 133698
  • 157 + 133541 = 133698

Showing the first eight; more decompositions exist.

Unicode codepoint
𠩂
CJK Unified Ideograph-20A42
U+20A42
Other letter (Lo)

UTF-8 encoding: F0 A0 A9 82 (4 bytes).

Hex color
#020A42
RGB(2, 10, 66)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.10.66.

Address
0.2.10.66
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.10.66

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 133,698 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 133698 first appears in π at position 642,502 of the decimal expansion (the 642,502ordinal-suffix:nd 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°.