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164,008

164,008 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.).

164,008 (one hundred sixty-four thousand eight) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 13 × 19 × 83. Its proper divisors sum to 188,792, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x280A8.

Abundant Number Arithmetic Number Harshad / Niven Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
800,461
Square (n²)
26,898,624,064
Cube (n³)
4,411,589,535,488,512
Divisor count
32
σ(n) — sum of divisors
352,800
φ(n) — Euler's totient
70,848
Sum of prime factors
121

Primality

Prime factorization: 2 3 × 13 × 19 × 83

Nearest primes: 163,997 (−11) · 164,011 (+3)

Divisors & multiples

All divisors (32)
1 · 2 · 4 · 8 · 13 · 19 · 26 · 38 · 52 · 76 · 83 · 104 · 152 · 166 · 247 · 332 · 494 · 664 · 988 · 1079 · 1577 · 1976 · 2158 · 3154 · 4316 · 6308 · 8632 · 12616 · 20501 · 41002 · 82004 (half) · 164008
Aliquot sum (sum of proper divisors): 188,792
Factor pairs (a × b = 164,008)
1 × 164008
2 × 82004
4 × 41002
8 × 20501
13 × 12616
19 × 8632
26 × 6308
38 × 4316
52 × 3154
76 × 2158
83 × 1976
104 × 1577
152 × 1079
166 × 988
247 × 664
332 × 494
First multiples
164,008 · 328,016 (double) · 492,024 · 656,032 · 820,040 · 984,048 · 1,148,056 · 1,312,064 · 1,476,072 · 1,640,080

Sums & aliquot sequence

As consecutive integers: 12,610 + 12,611 + … + 12,622 10,243 + 10,244 + … + 10,258 8,623 + 8,624 + … + 8,641 1,935 + 1,936 + … + 2,017
Aliquot sequence: 164,008 188,792 165,208 149,072 214,000 308,288 303,598 151,802 113,248 109,772 97,204 81,996 109,356 165,828 251,260 308,180 373,900 — unresolved within range

Continued fraction of √n

√164,008 = [404; (1, 46, 1, 1, 1, 4, 1, 1, 1, 46, 1, 808)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
one hundred sixty-four thousand eight
Ordinal
164008th
Binary
101000000010101000
Octal
500250
Hexadecimal
0x280A8
Base64
AoCo
One's complement
4,294,803,287 (32-bit)
Scientific notation
1.64008 × 10⁵
As a duration
164,008 s = 1 day, 21 hours, 33 minutes, 28 seconds
In other bases
ternary (3) 22022222101
quaternary (4) 220002220
quinary (5) 20222013
senary (6) 3303144
septenary (7) 1252105
nonary (9) 268871
undecimal (11) 102249
duodecimal (12) 7aab4
tridecimal (13) 59860
tetradecimal (14) 43aac
pentadecimal (15) 338dd

As an angle

164,008° = 455 × 360° + 208°
208° ≈ 3.63 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρξδηʹ
Chinese
一十六萬四千零八
Chinese (financial)
壹拾陸萬肆仟零捌
In other modern scripts
Eastern Arabic ١٦٤٠٠٨ Devanagari १६४००८ Bengali ১৬৪০০৮ Tamil ௧௬௪௦௦௮ Thai ๑๖๔๐๐๘ Tibetan ༡༦༤༠༠༨ Khmer ១៦៤០០៨ Lao ໑໖໔໐໐໘ Burmese ၁၆၄၀၀၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 164008, here are decompositions:

  • 11 + 163997 = 164008
  • 17 + 163991 = 164008
  • 29 + 163979 = 164008
  • 107 + 163901 = 164008
  • 137 + 163871 = 164008
  • 149 + 163859 = 164008
  • 167 + 163841 = 164008
  • 197 + 163811 = 164008

Showing the first eight; more decompositions exist.

Unicode codepoint
𨂨
CJK Unified Ideograph-280A8
U+280A8
Other letter (Lo)

UTF-8 encoding: F0 A8 82 A8 (4 bytes).

Hex color
#0280A8
RGB(2, 128, 168)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.128.168.

Address
0.2.128.168
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.128.168

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 164,008 and was likely granted around 1874.

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

Position in π

The digit sequence 164008 first appears in π at position 183,791 of the decimal expansion (the 183,791ordinal-suffix:st 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°.