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147,132

147,132 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.).

147,132 (one hundred forty-seven thousand one hundred thirty-two) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2² × 3² × 61 × 67. Its proper divisors sum to 236,524, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x23EBC.

Abundant Number Cube-Free Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
168
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
231,741
Recamán's sequence
a(214,152) = 147,132
Square (n²)
21,647,825,424
Cube (n³)
3,185,087,850,283,968
Divisor count
36
σ(n) — sum of divisors
383,656
φ(n) — Euler's totient
47,520
Sum of prime factors
138

Primality

Prime factorization: 2 2 × 3 2 × 61 × 67

Nearest primes: 147,107 (−25) · 147,137 (+5)

Divisors & multiples

All divisors (36)
1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 36 · 61 · 67 · 122 · 134 · 183 · 201 · 244 · 268 · 366 · 402 · 549 · 603 · 732 · 804 · 1098 · 1206 · 2196 · 2412 · 4087 · 8174 · 12261 · 16348 · 24522 · 36783 · 49044 · 73566 (half) · 147132
Aliquot sum (sum of proper divisors): 236,524
Factor pairs (a × b = 147,132)
1 × 147132
2 × 73566
3 × 49044
4 × 36783
6 × 24522
9 × 16348
12 × 12261
18 × 8174
36 × 4087
61 × 2412
67 × 2196
122 × 1206
134 × 1098
183 × 804
201 × 732
244 × 603
268 × 549
366 × 402
First multiples
147,132 · 294,264 (double) · 441,396 · 588,528 · 735,660 · 882,792 · 1,029,924 · 1,177,056 · 1,324,188 · 1,471,320

Sums & aliquot sequence

As consecutive integers: 49,043 + 49,044 + 49,045 18,388 + 18,389 + … + 18,395 16,344 + 16,345 + … + 16,352 6,119 + 6,120 + … + 6,142
Aliquot sequence: 147,132 236,524 191,876 143,914 76,694 42,154 30,134 21,946 10,976 14,224 17,520 37,536 71,328 116,160 289,224 584,376 989,784 — unresolved within range

Continued fraction of √n

√147,132 = [383; (1, 1, 2, 1, 2, 2, 3, 1, 6, 3, 28, 10, 2, 8, 1, 190, 1, 8, 2, 10, 28, 3, 6, 1, …)]

Period length 32 — the block in parentheses repeats forever.

Representations

In words
one hundred forty-seven thousand one hundred thirty-two
Ordinal
147132nd
Binary
100011111010111100
Octal
437274
Hexadecimal
0x23EBC
Base64
Aj68
One's complement
4,294,820,163 (32-bit)
Scientific notation
1.47132 × 10⁵
As a duration
147,132 s = 1 day, 16 hours, 52 minutes, 12 seconds
In other bases
ternary (3) 21110211100
quaternary (4) 203322330
quinary (5) 14202012
senary (6) 3053100
septenary (7) 1151646
nonary (9) 243740
undecimal (11) a05a7
duodecimal (12) 71190
tridecimal (13) 51c7b
tetradecimal (14) 3b896
pentadecimal (15) 2d8dc

As an angle

147,132° = 408 × 360° + 252°
252° ≈ 4.398 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρμζρλβʹ
Mayan (base 20)
𝋲·𝋧·𝋰·𝋬
Chinese
一十四萬七千一百三十二
Chinese (financial)
壹拾肆萬柒仟壹佰參拾貳
In other modern scripts
Eastern Arabic ١٤٧١٣٢ Devanagari १४७१३२ Bengali ১৪৭১৩২ Tamil ௧௪௭௧௩௨ Thai ๑๔๗๑๓๒ Tibetan ༡༤༧༡༣༢ Khmer ១៤៧១៣២ Lao ໑໔໗໑໓໒ Burmese ၁၄၇၁၃၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 147132, here are decompositions:

  • 43 + 147089 = 147132
  • 59 + 147073 = 147132
  • 101 + 147031 = 147132
  • 103 + 147029 = 147132
  • 149 + 146983 = 147132
  • 179 + 146953 = 147132
  • 191 + 146941 = 147132
  • 199 + 146933 = 147132

Showing the first eight; more decompositions exist.

Unicode codepoint
𣺼
CJK Unified Ideograph-23Ebc
U+23EBC
Other letter (Lo)

UTF-8 encoding: F0 A3 BA BC (4 bytes).

Hex color
#023EBC
RGB(2, 62, 188)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.62.188.

Address
0.2.62.188
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.62.188

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 147,132 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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.