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164,772

164,772 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.).

164,772 (one hundred sixty-four thousand seven hundred seventy-two) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2² × 3² × 23 × 199. Its proper divisors sum to 272,028, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x283A4.

Abundant Number Cube-Free Gapful Number Odious Number Pernicious Number Practical Number Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
27
Digit product
2,352
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
277,461
Square (n²)
27,149,811,984
Cube (n³)
4,473,528,820,227,648
Divisor count
36
σ(n) — sum of divisors
436,800
φ(n) — Euler's totient
52,272
Sum of prime factors
232

Primality

Prime factorization: 2 2 × 3 2 × 23 × 199

Nearest primes: 164,771 (−1) · 164,789 (+17)

Divisors & multiples

All divisors (36)
1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 23 · 36 · 46 · 69 · 92 · 138 · 199 · 207 · 276 · 398 · 414 · 597 · 796 · 828 · 1194 · 1791 · 2388 · 3582 · 4577 · 7164 · 9154 · 13731 · 18308 · 27462 · 41193 · 54924 · 82386 (half) · 164772
Aliquot sum (sum of proper divisors): 272,028
Factor pairs (a × b = 164,772)
1 × 164772
2 × 82386
3 × 54924
4 × 41193
6 × 27462
9 × 18308
12 × 13731
18 × 9154
23 × 7164
36 × 4577
46 × 3582
69 × 2388
92 × 1791
138 × 1194
199 × 828
207 × 796
276 × 597
398 × 414
First multiples
164,772 · 329,544 (double) · 494,316 · 659,088 · 823,860 · 988,632 · 1,153,404 · 1,318,176 · 1,482,948 · 1,647,720

Sums & aliquot sequence

As consecutive integers: 54,923 + 54,924 + 54,925 20,593 + 20,594 + … + 20,600 18,304 + 18,305 + … + 18,312 7,153 + 7,154 + … + 7,175
Aliquot sequence: 164,772 272,028 362,732 317,668 299,732 224,806 112,406 95,530 81,374 52,546 36,158 18,922 9,464 12,496 14,288 15,472 14,536 — unresolved within range

Continued fraction of √n

√164,772 = [405; (1, 11, 1, 2, 5, 2, 1, 61, 1, 3, 4, 2, 73, 2, 1, 4, 7, 2, 1, 2, 7, 1, 4, 1, …)]

Representations

In words
one hundred sixty-four thousand seven hundred seventy-two
Ordinal
164772nd
Binary
101000001110100100
Octal
501644
Hexadecimal
0x283A4
Base64
AoOk
One's complement
4,294,802,523 (32-bit)
Scientific notation
1.64772 × 10⁵
As a duration
164,772 s = 1 day, 21 hours, 46 minutes, 12 seconds
In other bases
ternary (3) 22101000200
quaternary (4) 220032210
quinary (5) 20233042
senary (6) 3310500
septenary (7) 1254246
nonary (9) 271020
undecimal (11) 102883
duodecimal (12) 7b430
tridecimal (13) 59cca
tetradecimal (14) 44096
pentadecimal (15) 33c4c

As an angle

164,772° = 457 × 360° + 252°
252° ≈ 4.398 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρξδψοβʹ
Chinese
一十六萬四千七百七十二
Chinese (financial)
壹拾陸萬肆仟柒佰柒拾貳
In other modern scripts
Eastern Arabic ١٦٤٧٧٢ Devanagari १६४७७२ Bengali ১৬৪৭৭২ Tamil ௧௬௪௭௭௨ Thai ๑๖๔๗๗๒ Tibetan ༡༦༤༧༧༢ Khmer ១៦៤៧៧២ Lao ໑໖໔໗໗໒ Burmese ၁၆၄၇၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 164772, here are decompositions:

  • 5 + 164767 = 164772
  • 29 + 164743 = 164772
  • 43 + 164729 = 164772
  • 71 + 164701 = 164772
  • 89 + 164683 = 164772
  • 109 + 164663 = 164772
  • 149 + 164623 = 164772
  • 151 + 164621 = 164772

Showing the first eight; more decompositions exist.

Unicode codepoint
𨎤
CJK Unified Ideograph-283A4
U+283A4
Other letter (Lo)

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

Hex color
#0283A4
RGB(2, 131, 164)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.131.164.

Address
0.2.131.164
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.131.164

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 164,772 and was likely granted around 1874.

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

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.