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164,004

164,004 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.).

164,004 (one hundred sixty-four thousand four) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 79 × 173. Its proper divisors sum to 225,756, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x280A4.

Abundant Number Arithmetic Number Cube-Free Odious Number Pernicious Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
400,461
Square (n²)
26,897,312,016
Cube (n³)
4,411,266,759,872,064
Divisor count
24
σ(n) — sum of divisors
389,760
φ(n) — Euler's totient
53,664
Sum of prime factors
259

Primality

Prime factorization: 2 2 × 3 × 79 × 173

Nearest primes: 163,997 (−7) · 164,011 (+7)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 4 · 6 · 12 · 79 · 158 · 173 · 237 · 316 · 346 · 474 · 519 · 692 · 948 · 1038 · 2076 · 13667 · 27334 · 41001 · 54668 · 82002 (half) · 164004
Aliquot sum (sum of proper divisors): 225,756
Factor pairs (a × b = 164,004)
1 × 164004
2 × 82002
3 × 54668
4 × 41001
6 × 27334
12 × 13667
79 × 2076
158 × 1038
173 × 948
237 × 692
316 × 519
346 × 474
First multiples
164,004 · 328,008 (double) · 492,012 · 656,016 · 820,020 · 984,024 · 1,148,028 · 1,312,032 · 1,476,036 · 1,640,040

Sums & aliquot sequence

As consecutive integers: 54,667 + 54,668 + 54,669 20,497 + 20,498 + … + 20,504 6,822 + 6,823 + … + 6,845 2,037 + 2,038 + … + 2,115
Aliquot sequence: 164,004 225,756 344,996 258,754 135,374 69,826 34,916 39,004 40,796 45,220 75,740 106,372 115,388 133,924 133,980 349,860 859,740 — unresolved within range

Continued fraction of √n

√164,004 = [404; (1, 37, 1, 1, 3, 16, 4, 10, 1, 5, 1, 1, 1, 1, 1, 3, 16, 1, 22, 5, 53, 1, 3, 1, …)]

Representations

In words
one hundred sixty-four thousand four
Ordinal
164004th
Binary
101000000010100100
Octal
500244
Hexadecimal
0x280A4
Base64
AoCk
One's complement
4,294,803,291 (32-bit)
Scientific notation
1.64004 × 10⁵
As a duration
164,004 s = 1 day, 21 hours, 33 minutes, 24 seconds
In other bases
ternary (3) 22022222020
quaternary (4) 220002210
quinary (5) 20222004
senary (6) 3303140
septenary (7) 1252101
nonary (9) 268866
undecimal (11) 102245
duodecimal (12) 7aab0
tridecimal (13) 59859
tetradecimal (14) 43aa8
pentadecimal (15) 338d9

As an angle

164,004° = 455 × 360° + 204°
204° ≈ 3.56 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρξδδʹ
Chinese
一十六萬四千零四
Chinese (financial)
壹拾陸萬肆仟零肆
In other modern scripts
Eastern Arabic ١٦٤٠٠٤ Devanagari १६४००४ Bengali ১৬৪০০৪ Tamil ௧௬௪௦௦௪ Thai ๑๖๔๐๐๔ Tibetan ༡༦༤༠༠༤ Khmer ១៦៤០០៤ Lao ໑໖໔໐໐໔ Burmese ၁၆၄၀၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 164004, here are decompositions:

  • 7 + 163997 = 164004
  • 11 + 163993 = 164004
  • 13 + 163991 = 164004
  • 17 + 163987 = 164004
  • 23 + 163981 = 164004
  • 31 + 163973 = 164004
  • 103 + 163901 = 164004
  • 151 + 163853 = 164004

Showing the first eight; more decompositions exist.

Unicode codepoint
𨂤
CJK Unified Ideograph-280A4
U+280A4
Other letter (Lo)

UTF-8 encoding: F0 A8 82 A4 (4 bytes).

Hex color
#0280A4
RGB(2, 128, 164)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.128.164.

Address
0.2.128.164
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.128.164

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 164,004 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 164004 first appears in π at position 204,222 of the decimal expansion (the 204,222ordinal-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°.