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172,920

172,920 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.).

172,920 (one hundred seventy-two thousand nine hundred twenty) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3 × 5 × 11 × 131. Its proper divisors sum to 397,320, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2A378.

Abundant Number Arithmetic Number Gapful Number Happy Number Odious Number Practical Number Semiperfect Number Smith Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
29,271
Square (n²)
29,901,326,400
Cube (n³)
5,170,537,361,088,000
Divisor count
64
σ(n) — sum of divisors
570,240
φ(n) — Euler's totient
41,600
Sum of prime factors
156

Primality

Prime factorization: 2 3 × 3 × 5 × 11 × 131

Nearest primes: 172,883 (−37) · 172,933 (+13)

Divisors & multiples

All divisors (64)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 11 · 12 · 15 · 20 · 22 · 24 · 30 · 33 · 40 · 44 · 55 · 60 · 66 · 88 · 110 · 120 · 131 · 132 · 165 · 220 · 262 · 264 · 330 · 393 · 440 · 524 · 655 · 660 · 786 · 1048 · 1310 · 1320 · 1441 · 1572 · 1965 · 2620 · 2882 · 3144 · 3930 · 4323 · 5240 · 5764 · 7205 · 7860 · 8646 · 11528 · 14410 · 15720 · 17292 · 21615 · 28820 · 34584 · 43230 · 57640 · 86460 (half) · 172920
Aliquot sum (sum of proper divisors): 397,320
Factor pairs (a × b = 172,920)
1 × 172920
2 × 86460
3 × 57640
4 × 43230
5 × 34584
6 × 28820
8 × 21615
10 × 17292
11 × 15720
12 × 14410
15 × 11528
20 × 8646
22 × 7860
24 × 7205
30 × 5764
33 × 5240
40 × 4323
44 × 3930
55 × 3144
60 × 2882
66 × 2620
88 × 1965
110 × 1572
120 × 1441
131 × 1320
132 × 1310
165 × 1048
220 × 786
262 × 660
264 × 655
330 × 524
393 × 440
First multiples
172,920 · 345,840 (double) · 518,760 · 691,680 · 864,600 · 1,037,520 · 1,210,440 · 1,383,360 · 1,556,280 · 1,729,200

Sums & aliquot sequence

As consecutive integers: 57,639 + 57,640 + 57,641 34,582 + 34,583 + 34,584 + 34,585 + 34,586 15,715 + 15,716 + … + 15,725 11,521 + 11,522 + … + 11,535
Aliquot sequence: 172,920 397,320 1,123,320 2,816,520 7,033,080 15,776,520 33,091,320 72,791,880 178,632,120 358,909,800 792,132,600 2,014,294,920 4,864,665,720 9,729,331,800 21,471,684,600 — keeps growing

Continued fraction of √n

√172,920 = [415; (1, 5, 8, 1, 1, 2, 2, 1, 6, 2, 6, 2, 6, 1, 2, 2, 1, 1, 8, 5, 1, 830)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words
one hundred seventy-two thousand nine hundred twenty
Ordinal
172920th
Binary
101010001101111000
Octal
521570
Hexadecimal
0x2A378
Base64
AqN4
One's complement
4,294,794,375 (32-bit)
Scientific notation
1.7292 × 10⁵
As a duration
172,920 s = 2 days, 2 minutes
In other bases
ternary (3) 22210012110
quaternary (4) 222031320
quinary (5) 21013140
senary (6) 3412320
septenary (7) 1320066
nonary (9) 283173
undecimal (11) 108a10
duodecimal (12) 840a0
tridecimal (13) 60927
tetradecimal (14) 47036
pentadecimal (15) 36380

As an angle

172,920° = 480 × 360° + 120°
120° ≈ 2.094 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ροβϡκʹ
Chinese
一十七萬二千九百二十
Chinese (financial)
壹拾柒萬貳仟玖佰貳拾
In other modern scripts
Eastern Arabic ١٧٢٩٢٠ Devanagari १७२९२० Bengali ১৭২৯২০ Tamil ௧௭௨௯௨௦ Thai ๑๗๒๙๒๐ Tibetan ༡༧༢༩༢༠ Khmer ១៧២៩២០ Lao ໑໗໒໙໒໐ Burmese ၁၇၂၉၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 172920, here are decompositions:

  • 37 + 172883 = 172920
  • 43 + 172877 = 172920
  • 53 + 172867 = 172920
  • 61 + 172859 = 172920
  • 67 + 172853 = 172920
  • 71 + 172849 = 172920
  • 113 + 172807 = 172920
  • 179 + 172741 = 172920

Showing the first eight; more decompositions exist.

Unicode codepoint
𪍸
CJK Unified Ideograph-2A378
U+2A378
Other letter (Lo)

UTF-8 encoding: F0 AA 8D B8 (4 bytes).

Hex color
#02A378
RGB(2, 163, 120)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.163.120.

Address
0.2.163.120
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.163.120

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 172,920 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 172920 first appears in π at position 387,952 of the decimal expansion (the 387,952ordinal-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°.