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133,608

133,608 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.).

133,608 (one hundred thirty-three thousand six hundred eight) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 19 × 293. Its proper divisors sum to 219,192, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x209E8.

Abundant Number Arithmetic Number Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
806,331
Square (n²)
17,851,097,664
Cube (n³)
2,385,049,456,691,712
Divisor count
32
σ(n) — sum of divisors
352,800
φ(n) — Euler's totient
42,048
Sum of prime factors
321

Primality

Prime factorization: 2 3 × 3 × 19 × 293

Nearest primes: 133,597 (−11) · 133,631 (+23)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 19 · 24 · 38 · 57 · 76 · 114 · 152 · 228 · 293 · 456 · 586 · 879 · 1172 · 1758 · 2344 · 3516 · 5567 · 7032 · 11134 · 16701 · 22268 · 33402 · 44536 · 66804 (half) · 133608
Aliquot sum (sum of proper divisors): 219,192
Factor pairs (a × b = 133,608)
1 × 133608
2 × 66804
3 × 44536
4 × 33402
6 × 22268
8 × 16701
12 × 11134
19 × 7032
24 × 5567
38 × 3516
57 × 2344
76 × 1758
114 × 1172
152 × 879
228 × 586
293 × 456
First multiples
133,608 · 267,216 (double) · 400,824 · 534,432 · 668,040 · 801,648 · 935,256 · 1,068,864 · 1,202,472 · 1,336,080

Sums & aliquot sequence

As consecutive integers: 44,535 + 44,536 + 44,537 8,343 + 8,344 + … + 8,358 7,023 + 7,024 + … + 7,041 2,760 + 2,761 + … + 2,807
Aliquot sequence: 133,608 219,192 328,848 671,088 1,328,784 2,480,496 4,138,128 8,345,200 12,381,648 21,473,328 35,792,848 54,249,008 66,790,864 85,881,904 85,882,896 199,098,864 390,863,376 — unresolved within range

Continued fraction of √n

√133,608 = [365; (1, 1, 9, 1, 3, 1, 9, 1, 1, 730)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand six hundred eight
Ordinal
133608th
Binary
100000100111101000
Octal
404750
Hexadecimal
0x209E8
Base64
Agno
One's complement
4,294,833,687 (32-bit)
Scientific notation
1.33608 × 10⁵
As a duration
133,608 s = 1 day, 13 hours, 6 minutes, 48 seconds
In other bases
ternary (3) 20210021110
quaternary (4) 200213220
quinary (5) 13233413
senary (6) 2510320
septenary (7) 1064346
nonary (9) 223243
undecimal (11) 91422
duodecimal (12) 653a0
tridecimal (13) 48a77
tetradecimal (14) 36996
pentadecimal (15) 298c3

As an angle

133,608° = 371 × 360° + 48°
48° ≈ 0.838 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγχηʹ
Mayan (base 20)
𝋰·𝋮·𝋠·𝋨
Chinese
一十三萬三千六百零八
Chinese (financial)
壹拾參萬參仟陸佰零捌
In other modern scripts
Eastern Arabic ١٣٣٦٠٨ Devanagari १३३६०८ Bengali ১৩৩৬০৮ Tamil ௧௩௩௬௦௮ Thai ๑๓๓๖๐๘ Tibetan ༡༣༣༦༠༨ Khmer ១៣៣៦០៨ Lao ໑໓໓໖໐໘ Burmese ၁၃၃၆၀၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133608, here are decompositions:

  • 11 + 133597 = 133608
  • 37 + 133571 = 133608
  • 67 + 133541 = 133608
  • 89 + 133519 = 133608
  • 109 + 133499 = 133608
  • 127 + 133481 = 133608
  • 157 + 133451 = 133608
  • 191 + 133417 = 133608

Showing the first eight; more decompositions exist.

Unicode codepoint
𠧨
CJK Unified Ideograph-209E8
U+209E8
Other letter (Lo)

UTF-8 encoding: F0 A0 A7 A8 (4 bytes).

Hex color
#0209E8
RGB(2, 9, 232)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.9.232.

Address
0.2.9.232
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.9.232

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 133,608 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 133608 first appears in π at position 328,948 of the decimal expansion (the 328,948ordinal-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°.