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164,964

164,964 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.).

164,964 (one hundred sixty-four thousand nine hundred sixty-four) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 59 × 233. Its proper divisors sum to 228,156, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x28464.

Abundant Number Arithmetic Number Cube-Free Evil Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
30
Digit product
5,184
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
469,461
Square (n²)
27,213,121,296
Cube (n³)
4,489,185,341,473,344
Divisor count
24
σ(n) — sum of divisors
393,120
φ(n) — Euler's totient
53,824
Sum of prime factors
299

Primality

Prime factorization: 2 2 × 3 × 59 × 233

Nearest primes: 164,963 (−1) · 164,987 (+23)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 4 · 6 · 12 · 59 · 118 · 177 · 233 · 236 · 354 · 466 · 699 · 708 · 932 · 1398 · 2796 · 13747 · 27494 · 41241 · 54988 · 82482 (half) · 164964
Aliquot sum (sum of proper divisors): 228,156
Factor pairs (a × b = 164,964)
1 × 164964
2 × 82482
3 × 54988
4 × 41241
6 × 27494
12 × 13747
59 × 2796
118 × 1398
177 × 932
233 × 708
236 × 699
354 × 466
First multiples
164,964 · 329,928 (double) · 494,892 · 659,856 · 824,820 · 989,784 · 1,154,748 · 1,319,712 · 1,484,676 · 1,649,640

Sums & aliquot sequence

As consecutive integers: 54,987 + 54,988 + 54,989 20,617 + 20,618 + … + 20,624 6,862 + 6,863 + … + 6,885 2,767 + 2,768 + … + 2,825
Aliquot sequence: 164,964 228,156 304,236 495,836 471,844 359,756 269,824 319,424 460,864 504,336 1,082,864 1,015,216 973,496 851,824 798,616 1,046,024 1,195,576 — unresolved within range

Continued fraction of √n

√164,964 = [406; (6, 2, 1, 8, 1, 6, 1, 5, 4, 3, 1, 2, 1, 1, 1, 1, 5, 1, 1, 2, 3, 4, 3, 2, …)]

Period length 44 — the block in parentheses repeats forever.

Representations

In words
one hundred sixty-four thousand nine hundred sixty-four
Ordinal
164964th
Binary
101000010001100100
Octal
502144
Hexadecimal
0x28464
Base64
AoRk
One's complement
4,294,802,331 (32-bit)
Scientific notation
1.64964 × 10⁵
As a duration
164,964 s = 1 day, 21 hours, 49 minutes, 24 seconds
In other bases
ternary (3) 22101021210
quaternary (4) 220101210
quinary (5) 20234324
senary (6) 3311420
septenary (7) 1254642
nonary (9) 271253
undecimal (11) 102a38
duodecimal (12) 7b570
tridecimal (13) 5a117
tetradecimal (14) 44192
pentadecimal (15) 33d29

As an angle

164,964° = 458 × 360° + 84°
84° ≈ 1.466 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρξδϡξδʹ
Chinese
一十六萬四千九百六十四
Chinese (financial)
壹拾陸萬肆仟玖佰陸拾肆
In other modern scripts
Eastern Arabic ١٦٤٩٦٤ Devanagari १६४९६४ Bengali ১৬৪৯৬৪ Tamil ௧௬௪௯௬௪ Thai ๑๖๔๙๖๔ Tibetan ༡༦༤༩༦༤ Khmer ១៦៤៩៦៤ Lao ໑໖໔໙໖໔ Burmese ၁၆၄၉၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 164964, here are decompositions:

  • 11 + 164953 = 164964
  • 53 + 164911 = 164964
  • 71 + 164893 = 164964
  • 83 + 164881 = 164964
  • 127 + 164837 = 164964
  • 193 + 164771 = 164964
  • 197 + 164767 = 164964
  • 257 + 164707 = 164964

Showing the first eight; more decompositions exist.

Unicode codepoint
𨑤
CJK Unified Ideograph-28464
U+28464
Other letter (Lo)

UTF-8 encoding: F0 A8 91 A4 (4 bytes).

Hex color
#028464
RGB(2, 132, 100)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.132.100.

Address
0.2.132.100
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.132.100

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 164,964 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 164964 first appears in π at position 592,032 of the decimal expansion (the 592,032ordinal-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°.