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170,016

170,016 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.).

170,016 (one hundred seventy thousand sixteen) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2⁵ × 3 × 7 × 11 × 23. Its proper divisors sum to 410,592, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x29820.

Abundant Number Arithmetic Number Gapful Number Odious Number Pernicious Number Practical Number Refactorable Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
610,071
Square (n²)
28,905,440,256
Cube (n³)
4,914,387,330,564,096
Divisor count
96
σ(n) — sum of divisors
580,608
φ(n) — Euler's totient
42,240
Sum of prime factors
54

Primality

Prime factorization: 2 5 × 3 × 7 × 11 × 23

Nearest primes: 170,003 (−13) · 170,021 (+5)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 11 · 12 · 14 · 16 · 21 · 22 · 23 · 24 · 28 · 32 · 33 · 42 · 44 · 46 · 48 · 56 · 66 · 69 · 77 · 84 · 88 · 92 · 96 · 112 · 132 · 138 · 154 · 161 · 168 · 176 · 184 · 224 · 231 · 253 · 264 · 276 · 308 · 322 · 336 · 352 · 368 · 462 · 483 · 506 · 528 · 552 · 616 · 644 · 672 · 736 · 759 · 924 · 966 · 1012 · 1056 · 1104 · 1232 · 1288 · 1518 · 1771 · 1848 · 1932 · 2024 · 2208 · 2464 · 2576 · 3036 · 3542 · 3696 · 3864 · 4048 · 5152 · 5313 · 6072 · 7084 · 7392 · 7728 · 8096 · 10626 · 12144 · 14168 · 15456 · 21252 · 24288 · 28336 · 42504 · 56672 · 85008 (half) · 170016
Aliquot sum (sum of proper divisors): 410,592
Factor pairs (a × b = 170,016)
1 × 170016
2 × 85008
3 × 56672
4 × 42504
6 × 28336
7 × 24288
8 × 21252
11 × 15456
12 × 14168
14 × 12144
16 × 10626
21 × 8096
22 × 7728
23 × 7392
24 × 7084
28 × 6072
32 × 5313
33 × 5152
42 × 4048
44 × 3864
46 × 3696
48 × 3542
56 × 3036
66 × 2576
69 × 2464
77 × 2208
84 × 2024
88 × 1932
92 × 1848
96 × 1771
112 × 1518
132 × 1288
138 × 1232
154 × 1104
161 × 1056
168 × 1012
176 × 966
184 × 924
224 × 759
231 × 736
253 × 672
264 × 644
276 × 616
308 × 552
322 × 528
336 × 506
352 × 483
368 × 462
First multiples
170,016 · 340,032 (double) · 510,048 · 680,064 · 850,080 · 1,020,096 · 1,190,112 · 1,360,128 · 1,530,144 · 1,700,160

Sums & aliquot sequence

As consecutive integers: 56,671 + 56,672 + 56,673 24,285 + 24,286 + … + 24,291 15,451 + 15,452 + … + 15,461 8,086 + 8,087 + … + 8,106
Aliquot sequence: 170,016 410,592 944,160 2,466,912 4,935,840 14,369,376 28,740,768 62,059,872 130,992,288 269,016,384 621,974,976 1,277,441,088 2,999,317,440 8,078,437,392 12,790,859,328 — keeps growing

Continued fraction of √n

√170,016 = [412; (3, 32, 1, 1, 1, 7, 1, 1, 2, 1, 1, 205, 1, 1, 2, 1, 1, 7, 1, 1, 1, 32, 3, 824)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words
one hundred seventy thousand sixteen
Ordinal
170016th
Binary
101001100000100000
Octal
514040
Hexadecimal
0x29820
Base64
Apgg
One's complement
4,294,797,279 (32-bit)
Scientific notation
1.70016 × 10⁵
As a duration
170,016 s = 1 day, 23 hours, 13 minutes, 36 seconds
In other bases
ternary (3) 22122012220
quaternary (4) 221200200
quinary (5) 20420031
senary (6) 3351040
septenary (7) 1305450
nonary (9) 278186
undecimal (11) 106810
duodecimal (12) 82480
tridecimal (13) 5c502
tetradecimal (14) 45d60
pentadecimal (15) 35596

As an angle

170,016° = 472 × 360° + 96°
96° ≈ 1.676 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ροιϛʹ
Chinese
一十七萬零一十六
Chinese (financial)
壹拾柒萬零壹拾陸
In other modern scripts
Eastern Arabic ١٧٠٠١٦ Devanagari १७००१६ Bengali ১৭০০১৬ Tamil ௧௭௦௦௧௬ Thai ๑๗๐๐๑๖ Tibetan ༡༧༠༠༡༦ Khmer ១៧០០១៦ Lao ໑໗໐໐໑໖ Burmese ၁၇၀၀၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 170016, here are decompositions:

  • 13 + 170003 = 170016
  • 29 + 169987 = 170016
  • 59 + 169957 = 170016
  • 73 + 169943 = 170016
  • 79 + 169937 = 170016
  • 83 + 169933 = 170016
  • 97 + 169919 = 170016
  • 103 + 169913 = 170016

Showing the first eight; more decompositions exist.

Unicode codepoint
𩠠
CJK Unified Ideograph-29820
U+29820
Other letter (Lo)

UTF-8 encoding: F0 A9 A0 A0 (4 bytes).

Hex color
#029820
RGB(2, 152, 32)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.152.32.

Address
0.2.152.32
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.152.32

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 170,016 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°.