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133,464

133,464 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.).

133,464 (one hundred thirty-three thousand four hundred sixty-four) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 67 × 83. Its proper divisors sum to 209,256, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20958.

Abundant Number Arithmetic Number Evil Number Recamán's Sequence Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
864
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
464,331
Recamán's sequence
a(35,588) = 133,464
Square (n²)
17,812,639,296
Cube (n³)
2,377,346,091,001,344
Divisor count
32
σ(n) — sum of divisors
342,720
φ(n) — Euler's totient
43,296
Sum of prime factors
159

Primality

Prime factorization: 2 3 × 3 × 67 × 83

Nearest primes: 133,451 (−13) · 133,481 (+17)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 24 · 67 · 83 · 134 · 166 · 201 · 249 · 268 · 332 · 402 · 498 · 536 · 664 · 804 · 996 · 1608 · 1992 · 5561 · 11122 · 16683 · 22244 · 33366 · 44488 · 66732 (half) · 133464
Aliquot sum (sum of proper divisors): 209,256
Factor pairs (a × b = 133,464)
1 × 133464
2 × 66732
3 × 44488
4 × 33366
6 × 22244
8 × 16683
12 × 11122
24 × 5561
67 × 1992
83 × 1608
134 × 996
166 × 804
201 × 664
249 × 536
268 × 498
332 × 402
First multiples
133,464 · 266,928 (double) · 400,392 · 533,856 · 667,320 · 800,784 · 934,248 · 1,067,712 · 1,201,176 · 1,334,640

Sums & aliquot sequence

As consecutive integers: 44,487 + 44,488 + 44,489 8,334 + 8,335 + … + 8,349 2,757 + 2,758 + … + 2,804 1,959 + 1,960 + … + 2,025
Aliquot sequence: 133,464 209,256 313,944 484,776 828,354 828,366 1,265,586 1,627,278 1,640,562 2,589,582 2,589,594 3,329,574 3,471,834 3,493,446 4,320,570 6,228,870 8,720,490 — unresolved within range

Continued fraction of √n

√133,464 = [365; (3, 17, 1, 13, 1, 28, 3, 2, 2, 2, 1, 21, 2, 3, 3, 2, 1, 2, 1, 2, 36, 6, 91, 6, …)]

Period length 46 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand four hundred sixty-four
Ordinal
133464th
Binary
100000100101011000
Octal
404530
Hexadecimal
0x20958
Base64
AglY
One's complement
4,294,833,831 (32-bit)
Scientific notation
1.33464 × 10⁵
As a duration
133,464 s = 1 day, 13 hours, 4 minutes, 24 seconds
In other bases
ternary (3) 20210002010
quaternary (4) 200211120
quinary (5) 13232324
senary (6) 2505520
septenary (7) 1064052
nonary (9) 223063
undecimal (11) 91301
duodecimal (12) 652a0
tridecimal (13) 48996
tetradecimal (14) 368d2
pentadecimal (15) 29829

As an angle

133,464° = 370 × 360° + 264°
264° ≈ 4.608 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγυξδʹ
Mayan (base 20)
𝋰·𝋭·𝋭·𝋤
Chinese
一十三萬三千四百六十四
Chinese (financial)
壹拾參萬參仟肆佰陸拾肆
In other modern scripts
Eastern Arabic ١٣٣٤٦٤ Devanagari १३३४६४ Bengali ১৩৩৪৬৪ Tamil ௧௩௩௪௬௪ Thai ๑๓๓๔๖๔ Tibetan ༡༣༣༤༦༤ Khmer ១៣៣៤៦៤ Lao ໑໓໓໔໖໔ Burmese ၁၃၃၄၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133464, here are decompositions:

  • 13 + 133451 = 133464
  • 17 + 133447 = 133464
  • 47 + 133417 = 133464
  • 61 + 133403 = 133464
  • 73 + 133391 = 133464
  • 113 + 133351 = 133464
  • 127 + 133337 = 133464
  • 137 + 133327 = 133464

Showing the first eight; more decompositions exist.

Unicode codepoint
𠥘
CJK Unified Ideograph-20958
U+20958
Other letter (Lo)

UTF-8 encoding: F0 A0 A5 98 (4 bytes).

Hex color
#020958
RGB(2, 9, 88)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.9.88.

Address
0.2.9.88
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.9.88

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 133,464 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 133464 first appears in π at position 400,886 of the decimal expansion (the 400,886ordinal-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°.