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163,072

163,072 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.).

163,072 (one hundred sixty-three thousand seventy-two) is an even 6-digit number. It is a composite number with 54 divisors, and factors as 2⁸ × 7² × 13. Its proper divisors sum to 244,706, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x27D00.

Abundant Number Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
270,361
Square (n²)
26,592,477,184
Cube (n³)
4,336,488,439,349,248
Divisor count
54
σ(n) — sum of divisors
407,778
φ(n) — Euler's totient
64,512
Sum of prime factors
43

Primality

Prime factorization: 2 8 × 7 2 × 13

Nearest primes: 163,063 (−9) · 163,109 (+37)

Divisors & multiples

All divisors (54)
1 · 2 · 4 · 7 · 8 · 13 · 14 · 16 · 26 · 28 · 32 · 49 · 52 · 56 · 64 · 91 · 98 · 104 · 112 · 128 · 182 · 196 · 208 · 224 · 256 · 364 · 392 · 416 · 448 · 637 · 728 · 784 · 832 · 896 · 1274 · 1456 · 1568 · 1664 · 1792 · 2548 · 2912 · 3136 · 3328 · 5096 · 5824 · 6272 · 10192 · 11648 · 12544 · 20384 · 23296 · 40768 · 81536 (half) · 163072
Aliquot sum (sum of proper divisors): 244,706
Factor pairs (a × b = 163,072)
1 × 163072
2 × 81536
4 × 40768
7 × 23296
8 × 20384
13 × 12544
14 × 11648
16 × 10192
26 × 6272
28 × 5824
32 × 5096
49 × 3328
52 × 3136
56 × 2912
64 × 2548
91 × 1792
98 × 1664
104 × 1568
112 × 1456
128 × 1274
182 × 896
196 × 832
208 × 784
224 × 728
256 × 637
364 × 448
392 × 416
First multiples
163,072 · 326,144 (double) · 489,216 · 652,288 · 815,360 · 978,432 · 1,141,504 · 1,304,576 · 1,467,648 · 1,630,720

Sums & aliquot sequence

As a sum of two squares: 224² + 336²
As consecutive integers: 23,293 + 23,294 + … + 23,299 12,538 + 12,539 + … + 12,550 3,304 + 3,305 + … + 3,352 1,747 + 1,748 + … + 1,837
Aliquot sequence: 163,072 244,706 223,150 192,002 96,004 72,010 64,790 73,450 74,978 37,492 44,044 60,228 114,492 208,068 347,004 754,740 1,866,060 — unresolved within range

Continued fraction of √n

√163,072 = [403; (1, 4, 1, 1, 1, 1, 3, 2, 4, 1, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 1, 4, 2, …)]

Period length 32 — the block in parentheses repeats forever.

Representations

In words
one hundred sixty-three thousand seventy-two
Ordinal
163072nd
Binary
100111110100000000
Octal
476400
Hexadecimal
0x27D00
Base64
An0A
One's complement
4,294,804,223 (32-bit)
Scientific notation
1.63072 × 10⁵
As a duration
163,072 s = 1 day, 21 hours, 17 minutes, 52 seconds
In other bases
ternary (3) 22021200201
quaternary (4) 213310000
quinary (5) 20204242
senary (6) 3254544
septenary (7) 1246300
nonary (9) 267621
undecimal (11) 101578
duodecimal (12) 7a454
tridecimal (13) 592c0
tetradecimal (14) 43600
pentadecimal (15) 334b7

As an angle

163,072° = 452 × 360° + 352°
352° ≈ 6.144 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρξγοβʹ
Chinese
一十六萬三千零七十二
Chinese (financial)
壹拾陸萬參仟零柒拾貳
In other modern scripts
Eastern Arabic ١٦٣٠٧٢ Devanagari १६३०७२ Bengali ১৬৩০৭২ Tamil ௧௬௩௦௭௨ Thai ๑๖๓๐๗๒ Tibetan ༡༦༣༠༧༢ Khmer ១៦៣០៧២ Lao ໑໖໓໐໗໒ Burmese ၁၆၃၀၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 163072, here are decompositions:

  • 11 + 163061 = 163072
  • 53 + 163019 = 163072
  • 83 + 162989 = 163072
  • 101 + 162971 = 163072
  • 191 + 162881 = 163072
  • 233 + 162839 = 163072
  • 251 + 162821 = 163072
  • 281 + 162791 = 163072

Showing the first eight; more decompositions exist.

Unicode codepoint
𧴀
CJK Unified Ideograph-27D00
U+27D00
Other letter (Lo)

UTF-8 encoding: F0 A7 B4 80 (4 bytes).

Hex color
#027D00
RGB(2, 125, 0)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.125.0.

Address
0.2.125.0
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.125.0

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 163,072 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°.