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146,148

146,148 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.).

146,148 (one hundred forty-six thousand one hundred forty-eight) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 19 × 641. Its proper divisors sum to 213,372, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x23AE4.

Abundant Number Arithmetic Number Cube-Free Odious Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
768
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
841,641
Recamán's sequence
a(216,120) = 146,148
Square (n²)
21,359,237,904
Cube (n³)
3,121,609,901,193,792
Divisor count
24
σ(n) — sum of divisors
359,520
φ(n) — Euler's totient
46,080
Sum of prime factors
667

Primality

Prime factorization: 2 2 × 3 × 19 × 641

Nearest primes: 146,141 (−7) · 146,161 (+13)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 4 · 6 · 12 · 19 · 38 · 57 · 76 · 114 · 228 · 641 · 1282 · 1923 · 2564 · 3846 · 7692 · 12179 · 24358 · 36537 · 48716 · 73074 (half) · 146148
Aliquot sum (sum of proper divisors): 213,372
Factor pairs (a × b = 146,148)
1 × 146148
2 × 73074
3 × 48716
4 × 36537
6 × 24358
12 × 12179
19 × 7692
38 × 3846
57 × 2564
76 × 1923
114 × 1282
228 × 641
First multiples
146,148 · 292,296 (double) · 438,444 · 584,592 · 730,740 · 876,888 · 1,023,036 · 1,169,184 · 1,315,332 · 1,461,480

Sums & aliquot sequence

As consecutive integers: 48,715 + 48,716 + 48,717 18,265 + 18,266 + … + 18,272 7,683 + 7,684 + … + 7,701 6,078 + 6,079 + … + 6,101
Aliquot sequence: 146,148 213,372 326,076 461,844 705,686 439,114 270,266 159,034 81,734 40,870 35,018 17,512 18,488 16,192 20,384 29,890 33,722 — unresolved within range

Continued fraction of √n

√146,148 = [382; (3, 2, 2, 2, 1, 12, 1, 2, 2, 2, 3, 764)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
one hundred forty-six thousand one hundred forty-eight
Ordinal
146148th
Binary
100011101011100100
Octal
435344
Hexadecimal
0x23AE4
Base64
Ajrk
One's complement
4,294,821,147 (32-bit)
Scientific notation
1.46148 × 10⁵
As a duration
146,148 s = 1 day, 16 hours, 35 minutes, 48 seconds
In other bases
ternary (3) 21102110220
quaternary (4) 203223210
quinary (5) 14134043
senary (6) 3044340
septenary (7) 1146042
nonary (9) 242426
undecimal (11) 9a892
duodecimal (12) 706b0
tridecimal (13) 516a2
tetradecimal (14) 3b392
pentadecimal (15) 2d483

As an angle

146,148° = 405 × 360° + 348°
348° ≈ 6.074 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρμϛρμηʹ
Mayan (base 20)
𝋲·𝋥·𝋧·𝋨
Chinese
一十四萬六千一百四十八
Chinese (financial)
壹拾肆萬陸仟壹佰肆拾捌
In other modern scripts
Eastern Arabic ١٤٦١٤٨ Devanagari १४६१४८ Bengali ১৪৬১৪৮ Tamil ௧௪௬௧௪௮ Thai ๑๔๖๑๔๘ Tibetan ༡༤༦༡༤༨ Khmer ១៤៦១៤៨ Lao ໑໔໖໑໔໘ Burmese ၁၄၆၁၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 146148, here are decompositions:

  • 7 + 146141 = 146148
  • 31 + 146117 = 146148
  • 71 + 146077 = 146148
  • 89 + 146059 = 146148
  • 97 + 146051 = 146148
  • 127 + 146021 = 146148
  • 137 + 146011 = 146148
  • 139 + 146009 = 146148

Showing the first eight; more decompositions exist.

Unicode codepoint
𣫤
CJK Unified Ideograph-23Ae4
U+23AE4
Other letter (Lo)

UTF-8 encoding: F0 A3 AB A4 (4 bytes).

Hex color
#023AE4
RGB(2, 58, 228)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.58.228.

Address
0.2.58.228
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.58.228

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 146,148 and was likely granted around 1873.

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

Position in π

The digit sequence 146148 first appears in π at position 59,212 of the decimal expansion (the 59,212ordinal-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°.