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133,424

133,424 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.).

133,424 (one hundred thirty-three thousand four hundred twenty-four) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 31 × 269. Its proper divisors sum to 134,416, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20930.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
288
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
424,331
Recamán's sequence
a(35,508) = 133,424
Square (n²)
17,801,963,776
Cube (n³)
2,375,209,214,849,024
Divisor count
20
σ(n) — sum of divisors
267,840
φ(n) — Euler's totient
64,320
Sum of prime factors
308

Primality

Prime factorization: 2 4 × 31 × 269

Nearest primes: 133,417 (−7) · 133,439 (+15)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 8 · 16 · 31 · 62 · 124 · 248 · 269 · 496 · 538 · 1076 · 2152 · 4304 · 8339 · 16678 · 33356 · 66712 (half) · 133424
Aliquot sum (sum of proper divisors): 134,416
Factor pairs (a × b = 133,424)
1 × 133424
2 × 66712
4 × 33356
8 × 16678
16 × 8339
31 × 4304
62 × 2152
124 × 1076
248 × 538
269 × 496
First multiples
133,424 · 266,848 (double) · 400,272 · 533,696 · 667,120 · 800,544 · 933,968 · 1,067,392 · 1,200,816 · 1,334,240

Sums & aliquot sequence

As consecutive integers: 4,289 + 4,290 + … + 4,319 4,154 + 4,155 + … + 4,185 362 + 363 + … + 630
Aliquot sequence: 133,424 134,416 135,408 309,008 405,232 467,728 532,208 598,672 686,960 967,696 968,688 2,232,744 3,531,096 6,032,484 10,114,920 22,759,740 46,278,684 — unresolved within range

Continued fraction of √n

√133,424 = [365; (3, 1, 2, 36, 6, 8, 1, 28, 3, 45, 3, 28, 1, 8, 6, 36, 2, 1, 3, 730)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand four hundred twenty-four
Ordinal
133424th
Binary
100000100100110000
Octal
404460
Hexadecimal
0x20930
Base64
Agkw
One's complement
4,294,833,871 (32-bit)
Scientific notation
1.33424 × 10⁵
As a duration
133,424 s = 1 day, 13 hours, 3 minutes, 44 seconds
In other bases
ternary (3) 20210000122
quaternary (4) 200210300
quinary (5) 13232144
senary (6) 2505412
septenary (7) 1063664
nonary (9) 223018
undecimal (11) 91275
duodecimal (12) 65268
tridecimal (13) 48965
tetradecimal (14) 368a4
pentadecimal (15) 297ee

As an angle

133,424° = 370 × 360° + 224°
224° ≈ 3.91 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγυκδʹ
Mayan (base 20)
𝋰·𝋭·𝋫·𝋤
Chinese
一十三萬三千四百二十四
Chinese (financial)
壹拾參萬參仟肆佰貳拾肆
In other modern scripts
Eastern Arabic ١٣٣٤٢٤ Devanagari १३३४२४ Bengali ১৩৩৪২৪ Tamil ௧௩௩௪௨௪ Thai ๑๓๓๔๒๔ Tibetan ༡༣༣༤༢༤ Khmer ១៣៣៤២៤ Lao ໑໓໓໔໒໔ Burmese ၁၃၃၄၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133424, here are decompositions:

  • 7 + 133417 = 133424
  • 37 + 133387 = 133424
  • 73 + 133351 = 133424
  • 97 + 133327 = 133424
  • 103 + 133321 = 133424
  • 163 + 133261 = 133424
  • 211 + 133213 = 133424
  • 223 + 133201 = 133424

Showing the first eight; more decompositions exist.

Unicode codepoint
𠤰
CJK Unified Ideograph-20930
U+20930
Other letter (Lo)

UTF-8 encoding: F0 A0 A4 B0 (4 bytes).

Hex color
#020930
RGB(2, 9, 48)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.9.48.

Address
0.2.9.48
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.9.48

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 133,424 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 133424 first appears in π at position 824,823 of the decimal expansion (the 824,823ordinal-suffix:rd 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.