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147,168

147,168 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.).

147,168 (one hundred forty-seven thousand one hundred sixty-eight) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2⁵ × 3² × 7 × 73. Its proper divisors sum to 337,680, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x23EE0.

Abundant Number Arithmetic Number Gapful Number Happy Number Odious Number Practical Number Recamán's Sequence Refactorable Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
27
Digit product
1,344
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
861,741
Recamán's sequence
a(214,080) = 147,168
Square (n²)
21,658,420,224
Cube (n³)
3,187,426,387,525,632
Divisor count
72
σ(n) — sum of divisors
484,848
φ(n) — Euler's totient
41,472
Sum of prime factors
96

Primality

Prime factorization: 2 5 × 3 2 × 7 × 73

Nearest primes: 147,163 (−5) · 147,179 (+11)

Divisors & multiples

All divisors (72)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 9 · 12 · 14 · 16 · 18 · 21 · 24 · 28 · 32 · 36 · 42 · 48 · 56 · 63 · 72 · 73 · 84 · 96 · 112 · 126 · 144 · 146 · 168 · 219 · 224 · 252 · 288 · 292 · 336 · 438 · 504 · 511 · 584 · 657 · 672 · 876 · 1008 · 1022 · 1168 · 1314 · 1533 · 1752 · 2016 · 2044 · 2336 · 2628 · 3066 · 3504 · 4088 · 4599 · 5256 · 6132 · 7008 · 8176 · 9198 · 10512 · 12264 · 16352 · 18396 · 21024 · 24528 · 36792 · 49056 · 73584 (half) · 147168
Aliquot sum (sum of proper divisors): 337,680
Factor pairs (a × b = 147,168)
1 × 147168
2 × 73584
3 × 49056
4 × 36792
6 × 24528
7 × 21024
8 × 18396
9 × 16352
12 × 12264
14 × 10512
16 × 9198
18 × 8176
21 × 7008
24 × 6132
28 × 5256
32 × 4599
36 × 4088
42 × 3504
48 × 3066
56 × 2628
63 × 2336
72 × 2044
73 × 2016
84 × 1752
96 × 1533
112 × 1314
126 × 1168
144 × 1022
146 × 1008
168 × 876
219 × 672
224 × 657
252 × 584
288 × 511
292 × 504
336 × 438
First multiples
147,168 · 294,336 (double) · 441,504 · 588,672 · 735,840 · 883,008 · 1,030,176 · 1,177,344 · 1,324,512 · 1,471,680

Sums & aliquot sequence

As consecutive integers: 49,055 + 49,056 + 49,057 21,021 + 21,022 + … + 21,027 16,348 + 16,349 + … + 16,356 6,998 + 6,999 + … + 7,018
Aliquot sequence: 147,168 337,680 977,712 1,548,168 2,352,792 3,982,488 6,852,072 10,517,208 17,964,912 35,618,960 56,718,880 78,925,664 76,459,300 89,457,598 47,346,146 23,707,678 11,853,842 — unresolved within range

Continued fraction of √n

√147,168 = [383; (1, 1, 1, 1, 1, 84, 1, 1, 1, 1, 1, 766)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
one hundred forty-seven thousand one hundred sixty-eight
Ordinal
147168th
Binary
100011111011100000
Octal
437340
Hexadecimal
0x23EE0
Base64
Aj7g
One's complement
4,294,820,127 (32-bit)
Scientific notation
1.47168 × 10⁵
As a duration
147,168 s = 1 day, 16 hours, 52 minutes, 48 seconds
In other bases
ternary (3) 21110212200
quaternary (4) 203323200
quinary (5) 14202133
senary (6) 3053200
septenary (7) 1152030
nonary (9) 243780
undecimal (11) a062a
duodecimal (12) 71200
tridecimal (13) 51ca8
tetradecimal (14) 3b8c0
pentadecimal (15) 2d913

As an angle

147,168° = 408 × 360° + 288°
288° ≈ 5.027 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρμζρξηʹ
Mayan (base 20)
𝋲·𝋧·𝋲·𝋨
Chinese
一十四萬七千一百六十八
Chinese (financial)
壹拾肆萬柒仟壹佰陸拾捌
In other modern scripts
Eastern Arabic ١٤٧١٦٨ Devanagari १४७१६८ Bengali ১৪৭১৬৮ Tamil ௧௪௭௧௬௮ Thai ๑๔๗๑๖๘ Tibetan ༡༤༧༡༦༨ Khmer ១៤៧១៦៨ Lao ໑໔໗໑໖໘ Burmese ၁၄၇၁၆၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 147168, here are decompositions:

  • 5 + 147163 = 147168
  • 17 + 147151 = 147168
  • 29 + 147139 = 147168
  • 31 + 147137 = 147168
  • 61 + 147107 = 147168
  • 71 + 147097 = 147168
  • 79 + 147089 = 147168
  • 137 + 147031 = 147168

Showing the first eight; more decompositions exist.

Unicode codepoint
𣻠
CJK Unified Ideograph-23Ee0
U+23EE0
Other letter (Lo)

UTF-8 encoding: F0 A3 BB A0 (4 bytes).

Hex color
#023EE0
RGB(2, 62, 224)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.62.224.

Address
0.2.62.224
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.62.224

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 147,168 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 147168 first appears in π at position 478,182 of the decimal expansion (the 478,182ordinal-suffix:nd 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°.