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147,000

147,000 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.).

147,000 (one hundred forty-seven thousand) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2³ × 3 × 5³ × 7². Its proper divisors sum to 386,520, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x23E38.

Abundant Number Gapful Number Harshad / Niven Odious Number Practical Number Recamán's Sequence Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
741
Recamán's sequence
a(214,416) = 147,000
Square (n²)
21,609,000,000
Cube (n³)
3,176,523,000,000,000
Divisor count
96
σ(n) — sum of divisors
533,520
φ(n) — Euler's totient
33,600
Sum of prime factors
38

Primality

Prime factorization: 2 3 × 3 × 5 3 × 7 2

Nearest primes: 146,989 (−11) · 147,011 (+11)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 10 · 12 · 14 · 15 · 20 · 21 · 24 · 25 · 28 · 30 · 35 · 40 · 42 · 49 · 50 · 56 · 60 · 70 · 75 · 84 · 98 · 100 · 105 · 120 · 125 · 140 · 147 · 150 · 168 · 175 · 196 · 200 · 210 · 245 · 250 · 280 · 294 · 300 · 350 · 375 · 392 · 420 · 490 · 500 · 525 · 588 · 600 · 700 · 735 · 750 · 840 · 875 · 980 · 1000 · 1050 · 1176 · 1225 · 1400 · 1470 · 1500 · 1750 · 1960 · 2100 · 2450 · 2625 · 2940 · 3000 · 3500 · 3675 · 4200 · 4900 · 5250 · 5880 · 6125 · 7000 · 7350 · 9800 · 10500 · 12250 · 14700 · 18375 · 21000 · 24500 · 29400 · 36750 · 49000 · 73500 (half) · 147000
Aliquot sum (sum of proper divisors): 386,520
Factor pairs (a × b = 147,000)
1 × 147000
2 × 73500
3 × 49000
4 × 36750
5 × 29400
6 × 24500
7 × 21000
8 × 18375
10 × 14700
12 × 12250
14 × 10500
15 × 9800
20 × 7350
21 × 7000
24 × 6125
25 × 5880
28 × 5250
30 × 4900
35 × 4200
40 × 3675
42 × 3500
49 × 3000
50 × 2940
56 × 2625
60 × 2450
70 × 2100
75 × 1960
84 × 1750
98 × 1500
100 × 1470
105 × 1400
120 × 1225
125 × 1176
140 × 1050
147 × 1000
150 × 980
168 × 875
175 × 840
196 × 750
200 × 735
210 × 700
245 × 600
250 × 588
280 × 525
294 × 500
300 × 490
350 × 420
375 × 392
First multiples
147,000 · 294,000 (double) · 441,000 · 588,000 · 735,000 · 882,000 · 1,029,000 · 1,176,000 · 1,323,000 · 1,470,000

Sums & aliquot sequence

As consecutive integers: 48,999 + 49,000 + 49,001 29,398 + 29,399 + 29,400 + 29,401 + 29,402 20,997 + 20,998 + … + 21,003 9,793 + 9,794 + … + 9,807
Aliquot sequence: 147,000 386,520 773,400 1,626,000 3,635,568 6,539,376 10,354,136 10,553,464 10,705,256 9,697,084 7,464,116 6,785,644 5,605,700 6,984,640 11,961,728 12,108,232 10,594,718 — unresolved within range

Continued fraction of √n

√147,000 = [383; (2, 2, 6, 1, 1, 30, 7, 2, 1, 14, 1, 29, 1, 2, 1, 3, 1, 3, 1, 2, 1, 29, 1, 14, …)]

Period length 34 — the block in parentheses repeats forever.

Representations

In words
one hundred forty-seven thousand
Ordinal
147000th
Binary
100011111000111000
Octal
437070
Hexadecimal
0x23E38
Base64
Aj44
One's complement
4,294,820,295 (32-bit)
Scientific notation
1.47 × 10⁵
As a duration
147,000 s = 1 day, 16 hours, 50 minutes
In other bases
ternary (3) 21110122110
quaternary (4) 203320320
quinary (5) 14201000
senary (6) 3052320
septenary (7) 1151400
nonary (9) 243573
undecimal (11) a0497
duodecimal (12) 710a0
tridecimal (13) 51ba9
tetradecimal (14) 3b800
pentadecimal (15) 2d850

As an angle

147,000° = 408 × 360° + 120°
120° ≈ 2.094 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒌋 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼
Greek (Milesian)
͵ρμζ
Mayan (base 20)
𝋲·𝋧·𝋪·𝋠
Chinese
一十四萬七千
Chinese (financial)
壹拾肆萬柒仟
In other modern scripts
Eastern Arabic ١٤٧٠٠٠ Devanagari १४७००० Bengali ১৪৭০০০ Tamil ௧௪௭௦௦௦ Thai ๑๔๗๐๐๐ Tibetan ༡༤༧༠༠༠ Khmer ១៤៧០០០ Lao ໑໔໗໐໐໐ Burmese ၁၄၇၀၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 147000, here are decompositions:

  • 11 + 146989 = 147000
  • 13 + 146987 = 147000
  • 17 + 146983 = 147000
  • 23 + 146977 = 147000
  • 47 + 146953 = 147000
  • 59 + 146941 = 147000
  • 67 + 146933 = 147000
  • 79 + 146921 = 147000

Showing the first eight; more decompositions exist.

Unicode codepoint
𣸸
CJK Unified Ideograph-23E38
U+23E38
Other letter (Lo)

UTF-8 encoding: F0 A3 B8 B8 (4 bytes).

Hex color
#023E38
RGB(2, 62, 56)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.62.56.

Address
0.2.62.56
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.62.56

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 147,000 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 147000 first appears in π at position 44,546 of the decimal expansion (the 44,546ordinal-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°.