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172,200

172,200 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.).

172,200 (one hundred seventy-two thousand two hundred) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2³ × 3 × 5² × 7 × 41. Its proper divisors sum to 452,760, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2A0A8.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
2,271
Recamán's sequence
a(191,364) = 172,200
Square (n²)
29,652,840,000
Cube (n³)
5,106,219,048,000,000
Divisor count
96
σ(n) — sum of divisors
624,960
φ(n) — Euler's totient
38,400
Sum of prime factors
67

Primality

Prime factorization: 2 3 × 3 × 5 2 × 7 × 41

Nearest primes: 172,199 (−1) · 172,213 (+13)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 10 · 12 · 14 · 15 · 20 · 21 · 24 · 25 · 28 · 30 · 35 · 40 · 41 · 42 · 50 · 56 · 60 · 70 · 75 · 82 · 84 · 100 · 105 · 120 · 123 · 140 · 150 · 164 · 168 · 175 · 200 · 205 · 210 · 246 · 280 · 287 · 300 · 328 · 350 · 410 · 420 · 492 · 525 · 574 · 600 · 615 · 700 · 820 · 840 · 861 · 984 · 1025 · 1050 · 1148 · 1230 · 1400 · 1435 · 1640 · 1722 · 2050 · 2100 · 2296 · 2460 · 2870 · 3075 · 3444 · 4100 · 4200 · 4305 · 4920 · 5740 · 6150 · 6888 · 7175 · 8200 · 8610 · 11480 · 12300 · 14350 · 17220 · 21525 · 24600 · 28700 · 34440 · 43050 · 57400 · 86100 (half) · 172200
Aliquot sum (sum of proper divisors): 452,760
Factor pairs (a × b = 172,200)
1 × 172200
2 × 86100
3 × 57400
4 × 43050
5 × 34440
6 × 28700
7 × 24600
8 × 21525
10 × 17220
12 × 14350
14 × 12300
15 × 11480
20 × 8610
21 × 8200
24 × 7175
25 × 6888
28 × 6150
30 × 5740
35 × 4920
40 × 4305
41 × 4200
42 × 4100
50 × 3444
56 × 3075
60 × 2870
70 × 2460
75 × 2296
82 × 2100
84 × 2050
100 × 1722
105 × 1640
120 × 1435
123 × 1400
140 × 1230
150 × 1148
164 × 1050
168 × 1025
175 × 984
200 × 861
205 × 840
210 × 820
246 × 700
280 × 615
287 × 600
300 × 574
328 × 525
350 × 492
410 × 420
First multiples
172,200 · 344,400 (double) · 516,600 · 688,800 · 861,000 · 1,033,200 · 1,205,400 · 1,377,600 · 1,549,800 · 1,722,000

Sums & aliquot sequence

As consecutive integers: 57,399 + 57,400 + 57,401 34,438 + 34,439 + 34,440 + 34,441 + 34,442 24,597 + 24,598 + … + 24,603 11,473 + 11,474 + … + 11,487
Aliquot sequence: 172,200 452,760 1,275,240 2,550,840 5,376,360 12,223,320 25,451,400 60,324,360 120,649,080 241,298,520 514,079,400 1,079,568,600 2,763,935,400 5,804,266,200 12,971,317,800 — keeps growing

Continued fraction of √n

√172,200 = [414; (1, 32, 5, 32, 1, 828)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words
one hundred seventy-two thousand two hundred
Ordinal
172200th
Binary
101010000010101000
Octal
520250
Hexadecimal
0x2A0A8
Base64
AqCo
One's complement
4,294,795,095 (32-bit)
Scientific notation
1.722 × 10⁵
As a duration
172,200 s = 1 day, 23 hours, 50 minutes
In other bases
ternary (3) 22202012210
quaternary (4) 222002220
quinary (5) 21002300
senary (6) 3405120
septenary (7) 1315020
nonary (9) 282183
undecimal (11) 108416
duodecimal (12) 837a0
tridecimal (13) 604c2
tetradecimal (14) 46a80
pentadecimal (15) 36050

As an angle

172,200° = 478 × 360° + 120°
120° ≈ 2.094 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢
Greek (Milesian)
͵ροβσʹ
Chinese
一十七萬二千二百
Chinese (financial)
壹拾柒萬貳仟貳佰
In other modern scripts
Eastern Arabic ١٧٢٢٠٠ Devanagari १७२२०० Bengali ১৭২২০০ Tamil ௧௭௨௨௦௦ Thai ๑๗๒๒๐๐ Tibetan ༡༧༢༢༠༠ Khmer ១៧២២០០ Lao ໑໗໒໒໐໐ Burmese ၁၇၂၂၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 172200, here are decompositions:

  • 19 + 172181 = 172200
  • 29 + 172171 = 172200
  • 31 + 172169 = 172200
  • 43 + 172157 = 172200
  • 47 + 172153 = 172200
  • 53 + 172147 = 172200
  • 73 + 172127 = 172200
  • 103 + 172097 = 172200

Showing the first eight; more decompositions exist.

Unicode codepoint
𪂨
CJK Unified Ideograph-2A0A8
U+2A0A8
Other letter (Lo)

UTF-8 encoding: F0 AA 82 A8 (4 bytes).

Hex color
#02A0A8
RGB(2, 160, 168)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.160.168.

Address
0.2.160.168
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.160.168

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 172,200 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°.