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164,104

164,104 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.).

164,104 (one hundred sixty-four thousand one hundred four) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 73 × 281. Written other ways, in hexadecimal, 0x28108.

Deficient Number Evil Number Happy Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
401,461
Recamán's sequence
a(197,004) = 164,104
Square (n²)
26,930,122,816
Cube (n³)
4,419,340,874,596,864
Divisor count
16
σ(n) — sum of divisors
313,020
φ(n) — Euler's totient
80,640
Sum of prime factors
360

Primality

Prime factorization: 2 3 × 73 × 281

Nearest primes: 164,093 (−11) · 164,113 (+9)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 8 · 73 · 146 · 281 · 292 · 562 · 584 · 1124 · 2248 · 20513 · 41026 · 82052 (half) · 164104
Aliquot sum (sum of proper divisors): 148,916
Factor pairs (a × b = 164,104)
1 × 164104
2 × 82052
4 × 41026
8 × 20513
73 × 2248
146 × 1124
281 × 584
292 × 562
First multiples
164,104 · 328,208 (double) · 492,312 · 656,416 · 820,520 · 984,624 · 1,148,728 · 1,312,832 · 1,476,936 · 1,641,040

Sums & aliquot sequence

As a sum of two squares: 50² + 402² = 270² + 302²
As consecutive integers: 10,249 + 10,250 + … + 10,264 2,212 + 2,213 + … + 2,284 444 + 445 + … + 724
Aliquot sequence: 164,104 148,916 116,524 87,400 135,800 228,760 404,840 540,160 761,096 869,944 805,856 780,736 910,904 852,616 757,124 576,124 432,100 — unresolved within range

Continued fraction of √n

√164,104 = [405; (10, 3, 1, 13, 2, 5, 2, 3, 7, 101, 7, 3, 2, 5, 2, 13, 1, 3, 10, 810)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words
one hundred sixty-four thousand one hundred four
Ordinal
164104th
Binary
101000000100001000
Octal
500410
Hexadecimal
0x28108
Base64
AoEI
One's complement
4,294,803,191 (32-bit)
Scientific notation
1.64104 × 10⁵
As a duration
164,104 s = 1 day, 21 hours, 35 minutes, 4 seconds
In other bases
ternary (3) 22100002221
quaternary (4) 220010020
quinary (5) 20222404
senary (6) 3303424
septenary (7) 1252303
nonary (9) 270087
undecimal (11) 102326
duodecimal (12) 7ab74
tridecimal (13) 59905
tetradecimal (14) 43b3a
pentadecimal (15) 33954

As an angle

164,104° = 455 × 360° + 304°
304° ≈ 5.306 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρξδρδʹ
Chinese
一十六萬四千一百零四
Chinese (financial)
壹拾陸萬肆仟壹佰零肆
In other modern scripts
Eastern Arabic ١٦٤١٠٤ Devanagari १६४१०४ Bengali ১৬৪১০৪ Tamil ௧௬௪௧௦௪ Thai ๑๖๔๑๐๔ Tibetan ༡༦༤༡༠༤ Khmer ១៦៤១០៤ Lao ໑໖໔໑໐໔ Burmese ၁၆၄၁၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 164104, here are decompositions:

  • 11 + 164093 = 164104
  • 47 + 164057 = 164104
  • 53 + 164051 = 164104
  • 107 + 163997 = 164104
  • 113 + 163991 = 164104
  • 131 + 163973 = 164104
  • 233 + 163871 = 164104
  • 251 + 163853 = 164104

Showing the first eight; more decompositions exist.

Unicode codepoint
𨄈
CJK Unified Ideograph-28108
U+28108
Other letter (Lo)

UTF-8 encoding: F0 A8 84 88 (4 bytes).

Hex color
#028108
RGB(2, 129, 8)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.129.8.

Address
0.2.129.8
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.129.8

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 164,104 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 164104 first appears in π at position 100,787 of the decimal expansion (the 100,787ordinal-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°.