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146,048

146,048 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.).

146,048 (one hundred forty-six thousand forty-eight) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2⁷ × 7 × 163. Its proper divisors sum to 188,512, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x23A80.

Abundant Number Arithmetic Number Evil Number Happy Number Practical Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
0
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
840,641
Recamán's sequence
a(216,320) = 146,048
Square (n²)
21,330,018,304
Cube (n³)
3,115,206,513,262,592
Divisor count
32
σ(n) — sum of divisors
334,560
φ(n) — Euler's totient
62,208
Sum of prime factors
184

Primality

Prime factorization: 2 7 × 7 × 163

Nearest primes: 146,033 (−15) · 146,051 (+3)

Divisors & multiples

All divisors (32)
1 · 2 · 4 · 7 · 8 · 14 · 16 · 28 · 32 · 56 · 64 · 112 · 128 · 163 · 224 · 326 · 448 · 652 · 896 · 1141 · 1304 · 2282 · 2608 · 4564 · 5216 · 9128 · 10432 · 18256 · 20864 · 36512 · 73024 (half) · 146048
Aliquot sum (sum of proper divisors): 188,512
Factor pairs (a × b = 146,048)
1 × 146048
2 × 73024
4 × 36512
7 × 20864
8 × 18256
14 × 10432
16 × 9128
28 × 5216
32 × 4564
56 × 2608
64 × 2282
112 × 1304
128 × 1141
163 × 896
224 × 652
326 × 448
First multiples
146,048 · 292,096 (double) · 438,144 · 584,192 · 730,240 · 876,288 · 1,022,336 · 1,168,384 · 1,314,432 · 1,460,480

Sums & aliquot sequence

As consecutive integers: 20,861 + 20,862 + … + 20,867 815 + 816 + … + 977 443 + 444 + … + 698
Aliquot sequence: 146,048 188,512 194,024 175,576 173,264 272,020 413,420 579,124 731,724 1,289,652 2,417,100 5,582,388 9,304,204 10,736,404 10,823,596 11,181,940 18,864,524 — unresolved within range

Continued fraction of √n

√146,048 = [382; (6, 6, 6, 1, 1, 1, 24, 191, 24, 1, 1, 1, 6, 6, 6, 764)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
one hundred forty-six thousand forty-eight
Ordinal
146048th
Binary
100011101010000000
Octal
435200
Hexadecimal
0x23A80
Base64
AjqA
One's complement
4,294,821,247 (32-bit)
Scientific notation
1.46048 × 10⁵
As a duration
146,048 s = 1 day, 16 hours, 34 minutes, 8 seconds
In other bases
ternary (3) 21102100012
quaternary (4) 203222000
quinary (5) 14133143
senary (6) 3044052
septenary (7) 1145540
nonary (9) 242305
undecimal (11) 9a801
duodecimal (12) 70628
tridecimal (13) 51626
tetradecimal (14) 3b320
pentadecimal (15) 2d418

As an angle

146,048° = 405 × 360° + 248°
248° ≈ 4.328 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρμϛμηʹ
Mayan (base 20)
𝋲·𝋥·𝋢·𝋨
Chinese
一十四萬六千零四十八
Chinese (financial)
壹拾肆萬陸仟零肆拾捌
In other modern scripts
Eastern Arabic ١٤٦٠٤٨ Devanagari १४६०४८ Bengali ১৪৬০৪৮ Tamil ௧௪௬௦௪௮ Thai ๑๔๖๐๔๘ Tibetan ༡༤༦༠༤༨ Khmer ១៤៦០៤៨ Lao ໑໔໖໐໔໘ Burmese ၁၄၆၀၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 146048, here are decompositions:

  • 37 + 146011 = 146048
  • 61 + 145987 = 146048
  • 79 + 145969 = 146048
  • 151 + 145897 = 146048
  • 229 + 145819 = 146048
  • 241 + 145807 = 146048
  • 271 + 145777 = 146048
  • 277 + 145771 = 146048

Showing the first eight; more decompositions exist.

Unicode codepoint
𣪀
CJK Unified Ideograph-23A80
U+23A80
Other letter (Lo)

UTF-8 encoding: F0 A3 AA 80 (4 bytes).

Hex color
#023A80
RGB(2, 58, 128)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.58.128.

Address
0.2.58.128
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.58.128

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 146,048 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.