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133,488

133,488 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.).

133,488 (one hundred thirty-three thousand four hundred eighty-eight) is an even 6-digit number. It is a composite number with 50 divisors, and factors as 2⁴ × 3⁴ × 103. Its proper divisors sum to 256,616, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20970.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
27
Digit product
2,304
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
884,331
Recamán's sequence
a(35,636) = 133,488
Square (n²)
17,819,046,144
Cube (n³)
2,378,628,831,670,272
Divisor count
50
σ(n) — sum of divisors
390,104
φ(n) — Euler's totient
44,064
Sum of prime factors
123

Primality

Prime factorization: 2 4 × 3 4 × 103

Nearest primes: 133,481 (−7) · 133,493 (+5)

Divisors & multiples

All divisors (50)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 18 · 24 · 27 · 36 · 48 · 54 · 72 · 81 · 103 · 108 · 144 · 162 · 206 · 216 · 309 · 324 · 412 · 432 · 618 · 648 · 824 · 927 · 1236 · 1296 · 1648 · 1854 · 2472 · 2781 · 3708 · 4944 · 5562 · 7416 · 8343 · 11124 · 14832 · 16686 · 22248 · 33372 · 44496 · 66744 (half) · 133488
Aliquot sum (sum of proper divisors): 256,616
Factor pairs (a × b = 133,488)
1 × 133488
2 × 66744
3 × 44496
4 × 33372
6 × 22248
8 × 16686
9 × 14832
12 × 11124
16 × 8343
18 × 7416
24 × 5562
27 × 4944
36 × 3708
48 × 2781
54 × 2472
72 × 1854
81 × 1648
103 × 1296
108 × 1236
144 × 927
162 × 824
206 × 648
216 × 618
309 × 432
324 × 412
First multiples
133,488 · 266,976 (double) · 400,464 · 533,952 · 667,440 · 800,928 · 934,416 · 1,067,904 · 1,201,392 · 1,334,880

Sums & aliquot sequence

As consecutive integers: 44,495 + 44,496 + 44,497 14,828 + 14,829 + … + 14,836 4,931 + 4,932 + … + 4,957 4,156 + 4,157 + … + 4,187
Aliquot sequence: 133,488 256,616 224,554 151,286 79,234 40,826 21,274 13,574 8,674 4,340 6,412 6,468 12,684 21,364 22,526 16,114 11,534 — unresolved within range

Continued fraction of √n

√133,488 = [365; (2, 1, 3, 2, 16, 5, 1, 44, 1, 5, 16, 2, 3, 1, 2, 730)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand four hundred eighty-eight
Ordinal
133488th
Binary
100000100101110000
Octal
404560
Hexadecimal
0x20970
Base64
Aglw
One's complement
4,294,833,807 (32-bit)
Scientific notation
1.33488 × 10⁵
As a duration
133,488 s = 1 day, 13 hours, 4 minutes, 48 seconds
In other bases
ternary (3) 20210010000
quaternary (4) 200211300
quinary (5) 13232423
senary (6) 2510000
septenary (7) 1064115
nonary (9) 223100
undecimal (11) 91323
duodecimal (12) 65300
tridecimal (13) 489b4
tetradecimal (14) 3690c
pentadecimal (15) 29843

As an angle

133,488° = 370 × 360° + 288°
288° ≈ 5.027 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγυπηʹ
Mayan (base 20)
𝋰·𝋭·𝋮·𝋨
Chinese
一十三萬三千四百八十八
Chinese (financial)
壹拾參萬參仟肆佰捌拾捌
In other modern scripts
Eastern Arabic ١٣٣٤٨٨ Devanagari १३३४८८ Bengali ১৩৩৪৮৮ Tamil ௧௩௩௪௮௮ Thai ๑๓๓๔๘๘ Tibetan ༡༣༣༤༨༨ Khmer ១៣៣៤៨៨ Lao ໑໓໓໔໘໘ Burmese ၁၃၃၄၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133488, here are decompositions:

  • 7 + 133481 = 133488
  • 37 + 133451 = 133488
  • 41 + 133447 = 133488
  • 71 + 133417 = 133488
  • 97 + 133391 = 133488
  • 101 + 133387 = 133488
  • 109 + 133379 = 133488
  • 137 + 133351 = 133488

Showing the first eight; more decompositions exist.

Unicode codepoint
𠥰
CJK Unified Ideograph-20970
U+20970
Other letter (Lo)

UTF-8 encoding: F0 A0 A5 B0 (4 bytes).

Hex color
#020970
RGB(2, 9, 112)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.9.112.

Address
0.2.9.112
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.9.112

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 133,488 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.