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164,372

164,372 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.).

164,372 (one hundred sixty-four thousand three hundred seventy-two) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 13 × 29 × 109. Written other ways, in hexadecimal, 0x28214.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
1,008
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
273,461
Square (n²)
27,018,154,384
Cube (n³)
4,441,028,072,406,848
Divisor count
24
σ(n) — sum of divisors
323,400
φ(n) — Euler's totient
72,576
Sum of prime factors
155

Primality

Prime factorization: 2 2 × 13 × 29 × 109

Nearest primes: 164,371 (−1) · 164,377 (+5)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 13 · 26 · 29 · 52 · 58 · 109 · 116 · 218 · 377 · 436 · 754 · 1417 · 1508 · 2834 · 3161 · 5668 · 6322 · 12644 · 41093 · 82186 (half) · 164372
Aliquot sum (sum of proper divisors): 159,028
Factor pairs (a × b = 164,372)
1 × 164372
2 × 82186
4 × 41093
13 × 12644
26 × 6322
29 × 5668
52 × 3161
58 × 2834
109 × 1508
116 × 1417
218 × 754
377 × 436
First multiples
164,372 · 328,744 (double) · 493,116 · 657,488 · 821,860 · 986,232 · 1,150,604 · 1,314,976 · 1,479,348 · 1,643,720

Sums & aliquot sequence

As a sum of two squares: 34² + 404² = 124² + 386² = 194² + 356² = 254² + 316²
As consecutive integers: 20,543 + 20,544 + … + 20,550 12,638 + 12,639 + … + 12,650 5,654 + 5,655 + … + 5,682 1,529 + 1,530 + … + 1,632
Aliquot sequence: 164,372 159,028 123,212 92,416 102,275 24,577 3,519 2,097 945 975 761 1 0 — terminates at zero

Continued fraction of √n

√164,372 = [405; (2, 2, 1, 49, 1, 26, 1, 49, 1, 2, 2, 810)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
one hundred sixty-four thousand three hundred seventy-two
Ordinal
164372nd
Binary
101000001000010100
Octal
501024
Hexadecimal
0x28214
Base64
AoIU
One's complement
4,294,802,923 (32-bit)
Scientific notation
1.64372 × 10⁵
As a duration
164,372 s = 1 day, 21 hours, 39 minutes, 32 seconds
In other bases
ternary (3) 22100110212
quaternary (4) 220020110
quinary (5) 20224442
senary (6) 3304552
septenary (7) 1253135
nonary (9) 270425
undecimal (11) 10254a
duodecimal (12) 7b158
tridecimal (13) 59a80
tetradecimal (14) 43c8c
pentadecimal (15) 33a82

As an angle

164,372° = 456 × 360° + 212°
212° ≈ 3.7 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρξδτοβʹ
Chinese
一十六萬四千三百七十二
Chinese (financial)
壹拾陸萬肆仟參佰柒拾貳
In other modern scripts
Eastern Arabic ١٦٤٣٧٢ Devanagari १६४३७२ Bengali ১৬৪৩৭২ Tamil ௧௬௪௩௭௨ Thai ๑๖๔๓๗๒ Tibetan ༡༦༤༣༧༢ Khmer ១៦៤៣៧២ Lao ໑໖໔໓໗໒ Burmese ၁၆၄၃၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 164372, here are decompositions:

  • 31 + 164341 = 164372
  • 73 + 164299 = 164372
  • 139 + 164233 = 164372
  • 163 + 164209 = 164372
  • 181 + 164191 = 164372
  • 199 + 164173 = 164372
  • 223 + 164149 = 164372
  • 283 + 164089 = 164372

Showing the first eight; more decompositions exist.

Unicode codepoint
𨈔
CJK Unified Ideograph-28214
U+28214
Other letter (Lo)

UTF-8 encoding: F0 A8 88 94 (4 bytes).

Hex color
#028214
RGB(2, 130, 20)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.130.20.

Address
0.2.130.20
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.130.20

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 164,372 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 164372 first appears in π at position 538,722 of the decimal expansion (the 538,722ordinal-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°.