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973,728

973,728 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.).

973,728 (nine hundred seventy-three thousand seven hundred twenty-eight) is an even 6-digit number. It is a composite number with 144 divisors, and factors as 2⁵ × 3³ × 7² × 23. Its proper divisors sum to 2,473,632, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xEDBA0.

Abundant Number Arithmetic Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Refactorable Number Weird Number Zuckerman Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
36
Digit product
21,168
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
827,379
Square (n²)
948,146,217,984
Cube (n³)
923,236,520,545,124,352
Divisor count
144
σ(n) — sum of divisors
3,447,360
φ(n) — Euler's totient
266,112
Sum of prime factors
56

Primality

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

Nearest primes: 973,727 (−1) · 973,757 (+29)

Divisors & multiples

All divisors (144)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 9 · 12 · 14 · 16 · 18 · 21 · 23 · 24 · 27 · 28 · 32 · 36 · 42 · 46 · 48 · 49 · 54 · 56 · 63 · 69 · 72 · 84 · 92 · 96 · 98 · 108 · 112 · 126 · 138 · 144 · 147 · 161 · 168 · 184 · 189 · 196 · 207 · 216 · 224 · 252 · 276 · 288 · 294 · 322 · 336 · 368 · 378 · 392 · 414 · 432 · 441 · 483 · 504 · 552 · 588 · 621 · 644 · 672 · 736 · 756 · 784 · 828 · 864 · 882 · 966 · 1008 · 1104 · 1127 · 1176 · 1242 · 1288 · 1323 · 1449 · 1512 · 1568 · 1656 · 1764 · 1932 · 2016 · 2208 · 2254 · 2352 · 2484 · 2576 · 2646 · 2898 · 3024 · 3312 · 3381 · 3528 · 3864 · 4347 · 4508 · 4704 · 4968 · 5152 · 5292 · 5796 · 6048 · 6624 · 6762 · 7056 · 7728 · 8694 · 9016 · 9936 · 10143 · 10584 · 11592 · 13524 · 14112 · 15456 · 17388 · 18032 · 19872 · 20286 · 21168 · 23184 · 27048 · 30429 · 34776 · 36064 · 40572 · 42336 · 46368 · 54096 · 60858 · 69552 · 81144 · 108192 · 121716 · 139104 · 162288 · 243432 · 324576 · 486864 (half) · 973728
Aliquot sum (sum of proper divisors): 2,473,632
Factor pairs (a × b = 973,728)
1 × 973728
2 × 486864
3 × 324576
4 × 243432
6 × 162288
7 × 139104
8 × 121716
9 × 108192
12 × 81144
14 × 69552
16 × 60858
18 × 54096
21 × 46368
23 × 42336
24 × 40572
27 × 36064
28 × 34776
32 × 30429
36 × 27048
42 × 23184
46 × 21168
48 × 20286
49 × 19872
54 × 18032
56 × 17388
63 × 15456
69 × 14112
72 × 13524
84 × 11592
92 × 10584
96 × 10143
98 × 9936
108 × 9016
112 × 8694
126 × 7728
138 × 7056
144 × 6762
147 × 6624
161 × 6048
168 × 5796
184 × 5292
189 × 5152
196 × 4968
207 × 4704
216 × 4508
224 × 4347
252 × 3864
276 × 3528
288 × 3381
294 × 3312
322 × 3024
336 × 2898
368 × 2646
378 × 2576
392 × 2484
414 × 2352
432 × 2254
441 × 2208
483 × 2016
504 × 1932
552 × 1764
588 × 1656
621 × 1568
644 × 1512
672 × 1449
736 × 1323
756 × 1288
784 × 1242
828 × 1176
864 × 1127
882 × 1104
966 × 1008
First multiples
973,728 · 1,947,456 (double) · 2,921,184 · 3,894,912 · 4,868,640 · 5,842,368 · 6,816,096 · 7,789,824 · 8,763,552 · 9,737,280

Sums & aliquot sequence

As consecutive integers: 324,575 + 324,576 + 324,577 139,101 + 139,102 + … + 139,107 108,188 + 108,189 + … + 108,196 46,358 + 46,359 + … + 46,378
Aliquot sequence: 973,728 2,473,632 5,791,968 15,790,320 49,747,152 111,346,704 253,927,536 402,052,056 807,601,944 1,299,187,176 2,479,064,664 3,721,773,336 6,151,845,864 9,758,102,136 16,426,087,464 — keeps growing

Continued fraction of √n

√973,728 = [986; (1, 3, 2, 9, 1, 3, 1, 1, 3, 39, 1, 218, 3, 4, 7, 40, 7, 4, 3, 218, 1, 39, 3, 1, …)]

Period length 32 — the block in parentheses repeats forever.

Representations

In words
nine hundred seventy-three thousand seven hundred twenty-eight
Ordinal
973728th
Binary
11101101101110100000
Octal
3555640
Hexadecimal
0xEDBA0
Base64
Dtug
One's complement
4,293,993,567 (32-bit)
Scientific notation
9.73728 × 10⁵
As a duration
973,728 s = 11 days, 6 hours, 28 minutes, 48 seconds
In other bases
ternary (3) 1211110201000
quaternary (4) 3231232200
quinary (5) 222124403
senary (6) 32512000
septenary (7) 11163600
nonary (9) 1743630
undecimal (11) 605638
duodecimal (12) 3ab600
tridecimal (13) 281292
tetradecimal (14) 1b4c00
pentadecimal (15) 1437a3

As an angle

973,728° = 2,704 × 360° + 288°
288° ≈ 5.027 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ϡογψκηʹ
Chinese
九十七萬三千七百二十八
Chinese (financial)
玖拾柒萬參仟柒佰貳拾捌
In other modern scripts
Eastern Arabic ٩٧٣٧٢٨ Devanagari ९७३७२८ Bengali ৯৭৩৭২৮ Tamil ௯௭௩௭௨௮ Thai ๙๗๓๗๒๘ Tibetan ༩༧༣༧༢༨ Khmer ៩៧៣៧២៨ Lao ໙໗໓໗໒໘ Burmese ၉၇၃၇၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 973728, here are decompositions:

  • 37 + 973691 = 973728
  • 47 + 973681 = 973728
  • 59 + 973669 = 973728
  • 71 + 973657 = 973728
  • 97 + 973631 = 973728
  • 131 + 973597 = 973728
  • 137 + 973591 = 973728
  • 167 + 973561 = 973728

Showing the first eight; more decompositions exist.

Hex color
#0EDBA0
RGB(14, 219, 160)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.14.219.160.

Address
0.14.219.160
Class
reserved
IPv4-mapped IPv6
::ffff:0.14.219.160

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 973,728 and was likely granted around 1910.

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°.