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133,472

133,472 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.).

133,472 (one hundred thirty-three thousand four hundred seventy-two) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 43 × 97. Its proper divisors sum to 138,184, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20960.

Abundant Number Arithmetic Number Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
504
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
274,331
Recamán's sequence
a(35,604) = 133,472
Square (n²)
17,814,774,784
Cube (n³)
2,377,773,619,970,048
Divisor count
24
σ(n) — sum of divisors
271,656
φ(n) — Euler's totient
64,512
Sum of prime factors
150

Primality

Prime factorization: 2 5 × 43 × 97

Nearest primes: 133,451 (−21) · 133,481 (+9)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 8 · 16 · 32 · 43 · 86 · 97 · 172 · 194 · 344 · 388 · 688 · 776 · 1376 · 1552 · 3104 · 4171 · 8342 · 16684 · 33368 · 66736 (half) · 133472
Aliquot sum (sum of proper divisors): 138,184
Factor pairs (a × b = 133,472)
1 × 133472
2 × 66736
4 × 33368
8 × 16684
16 × 8342
32 × 4171
43 × 3104
86 × 1552
97 × 1376
172 × 776
194 × 688
344 × 388
First multiples
133,472 · 266,944 (double) · 400,416 · 533,888 · 667,360 · 800,832 · 934,304 · 1,067,776 · 1,201,248 · 1,334,720

Sums & aliquot sequence

As consecutive integers: 3,083 + 3,084 + … + 3,125 2,054 + 2,055 + … + 2,117 1,328 + 1,329 + … + 1,424
Aliquot sequence: 133,472 138,184 132,536 115,984 129,536 165,088 246,176 321,202 229,454 122,194 63,134 31,570 41,006 32,434 16,220 17,884 15,380 — unresolved within range

Continued fraction of √n

√133,472 = [365; (2, 1, 22, 5, 1, 181, 1, 5, 22, 1, 2, 730)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand four hundred seventy-two
Ordinal
133472nd
Binary
100000100101100000
Octal
404540
Hexadecimal
0x20960
Base64
Aglg
One's complement
4,294,833,823 (32-bit)
Scientific notation
1.33472 × 10⁵
As a duration
133,472 s = 1 day, 13 hours, 4 minutes, 32 seconds
In other bases
ternary (3) 20210002102
quaternary (4) 200211200
quinary (5) 13232342
senary (6) 2505532
septenary (7) 1064063
nonary (9) 223072
undecimal (11) 91309
duodecimal (12) 652a8
tridecimal (13) 489a1
tetradecimal (14) 368da
pentadecimal (15) 29832

As an angle

133,472° = 370 × 360° + 272°
272° ≈ 4.747 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλγυοβʹ
Mayan (base 20)
𝋰·𝋭·𝋭·𝋬
Chinese
一十三萬三千四百七十二
Chinese (financial)
壹拾參萬參仟肆佰柒拾貳
In other modern scripts
Eastern Arabic ١٣٣٤٧٢ Devanagari १३३४७२ Bengali ১৩৩৪৭২ Tamil ௧௩௩௪௭௨ Thai ๑๓๓๔๗๒ Tibetan ༡༣༣༤༧༢ Khmer ១៣៣៤៧២ Lao ໑໓໓໔໗໒ Burmese ၁၃၃၄၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133472, here are decompositions:

  • 151 + 133321 = 133472
  • 193 + 133279 = 133472
  • 211 + 133261 = 133472
  • 271 + 133201 = 133472
  • 421 + 133051 = 133472
  • 433 + 133039 = 133472
  • 439 + 133033 = 133472
  • 523 + 132949 = 133472

Showing the first eight; more decompositions exist.

Unicode codepoint
𠥠
CJK Unified Ideograph-20960
U+20960
Other letter (Lo)

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

Hex color
#020960
RGB(2, 9, 96)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.9.96.

Address
0.2.9.96
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.9.96

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 133,472 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 133472 first appears in π at position 366,162 of the decimal expansion (the 366,162ordinal-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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.