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146,384

146,384 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.).

146,384 (one hundred forty-six thousand three hundred eighty-four) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 7 × 1,307. Its proper divisors sum to 178,000, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x23BD0.

Abundant Number Gapful Number Odious Number Recamán's Sequence Semiperfect Number Smith Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
26
Digit product
2,304
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
483,641
Recamán's sequence
a(215,648) = 146,384
Square (n²)
21,428,275,456
Cube (n³)
3,136,756,674,351,104
Divisor count
20
σ(n) — sum of divisors
324,384
φ(n) — Euler's totient
62,688
Sum of prime factors
1,322

Primality

Prime factorization: 2 4 × 7 × 1307

Nearest primes: 146,383 (−1) · 146,389 (+5)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 7 · 8 · 14 · 16 · 28 · 56 · 112 · 1307 · 2614 · 5228 · 9149 · 10456 · 18298 · 20912 · 36596 · 73192 (half) · 146384
Aliquot sum (sum of proper divisors): 178,000
Factor pairs (a × b = 146,384)
1 × 146384
2 × 73192
4 × 36596
7 × 20912
8 × 18298
14 × 10456
16 × 9149
28 × 5228
56 × 2614
112 × 1307
First multiples
146,384 · 292,768 (double) · 439,152 · 585,536 · 731,920 · 878,304 · 1,024,688 · 1,171,072 · 1,317,456 · 1,463,840

Sums & aliquot sequence

As consecutive integers: 20,909 + 20,910 + … + 20,915 4,559 + 4,560 + … + 4,590 542 + 543 + … + 765
Aliquot sequence: 146,384 178,000 257,240 336,760 421,040 613,120 858,560 1,186,648 1,038,332 778,756 720,154 446,246 266,554 133,280 254,548 254,604 438,060 — unresolved within range

Continued fraction of √n

√146,384 = [382; (1, 1, 1, 1, 24, 11, 1, 10, 1, 5, 1, 10, 1, 11, 24, 1, 1, 1, 1, 764)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words
one hundred forty-six thousand three hundred eighty-four
Ordinal
146384th
Binary
100011101111010000
Octal
435720
Hexadecimal
0x23BD0
Base64
AjvQ
One's complement
4,294,820,911 (32-bit)
Scientific notation
1.46384 × 10⁵
As a duration
146,384 s = 1 day, 16 hours, 39 minutes, 44 seconds
In other bases
ternary (3) 21102210122
quaternary (4) 203233100
quinary (5) 14141014
senary (6) 3045412
septenary (7) 1146530
nonary (9) 242718
undecimal (11) 9aa87
duodecimal (12) 70868
tridecimal (13) 51824
tetradecimal (14) 3b4c0
pentadecimal (15) 2d58e

As an angle

146,384° = 406 × 360° + 224°
224° ≈ 3.91 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρμϛτπδʹ
Mayan (base 20)
𝋲·𝋥·𝋳·𝋤
Chinese
一十四萬六千三百八十四
Chinese (financial)
壹拾肆萬陸仟參佰捌拾肆
In other modern scripts
Eastern Arabic ١٤٦٣٨٤ Devanagari १४६३८४ Bengali ১৪৬৩৮৪ Tamil ௧௪௬௩௮௪ Thai ๑๔๖๓๘๔ Tibetan ༡༤༦༣༨༤ Khmer ១៤៦៣៨៤ Lao ໑໔໖໓໘໔ Burmese ၁၄၆၃၈၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 146384, here are decompositions:

  • 3 + 146381 = 146384
  • 37 + 146347 = 146384
  • 61 + 146323 = 146384
  • 67 + 146317 = 146384
  • 163 + 146221 = 146384
  • 181 + 146203 = 146384
  • 193 + 146191 = 146384
  • 211 + 146173 = 146384

Showing the first eight; more decompositions exist.

Unicode codepoint
𣯐
CJK Unified Ideograph-23Bd0
U+23BD0
Other letter (Lo)

UTF-8 encoding: F0 A3 AF 90 (4 bytes).

Hex color
#023BD0
RGB(2, 59, 208)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.59.208.

Address
0.2.59.208
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.59.208

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 146,384 and was likely granted around 1873.

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

Related reading

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