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993,720

993,720 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.).

993,720 (nine hundred ninety-three thousand seven hundred twenty) is an even 6-digit number. It is a composite number with 144 divisors, and factors as 2³ × 3 × 5 × 7² × 13². Its proper divisors sum to 2,761,440, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF29B8.

Abundant Number Harshad / Niven Odious Number Pernicious Number Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
30
Digit product
0
Digital root
3
Palindrome
No
Bit width
20 bits
Reversed
27,399
Square (n²)
987,479,438,400
Cube (n³)
981,278,067,526,848,000
Divisor count
144
σ(n) — sum of divisors
3,755,160
φ(n) — Euler's totient
209,664
Sum of prime factors
54

Primality

Prime factorization: 2 3 × 3 × 5 × 7 2 × 13 2

Nearest primes: 993,703 (−17) · 993,763 (+43)

Divisors & multiples

All divisors (144)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 10 · 12 · 13 · 14 · 15 · 20 · 21 · 24 · 26 · 28 · 30 · 35 · 39 · 40 · 42 · 49 · 52 · 56 · 60 · 65 · 70 · 78 · 84 · 91 · 98 · 104 · 105 · 120 · 130 · 140 · 147 · 156 · 168 · 169 · 182 · 195 · 196 · 210 · 245 · 260 · 273 · 280 · 294 · 312 · 338 · 364 · 390 · 392 · 420 · 455 · 490 · 507 · 520 · 546 · 588 · 637 · 676 · 728 · 735 · 780 · 840 · 845 · 910 · 980 · 1014 · 1092 · 1176 · 1183 · 1274 · 1352 · 1365 · 1470 · 1560 · 1690 · 1820 · 1911 · 1960 · 2028 · 2184 · 2366 · 2535 · 2548 · 2730 · 2940 · 3185 · 3380 · 3549 · 3640 · 3822 · 4056 · 4732 · 5070 · 5096 · 5460 · 5880 · 5915 · 6370 · 6760 · 7098 · 7644 · 8281 · 9464 · 9555 · 10140 · 10920 · 11830 · 12740 · 14196 · 15288 · 16562 · 17745 · 19110 · 20280 · 23660 · 24843 · 25480 · 28392 · 33124 · 35490 · 38220 · 41405 · 47320 · 49686 · 66248 · 70980 · 76440 · 82810 · 99372 · 124215 · 141960 · 165620 · 198744 · 248430 · 331240 · 496860 (half) · 993720
Aliquot sum (sum of proper divisors): 2,761,440
Factor pairs (a × b = 993,720)
1 × 993720
2 × 496860
3 × 331240
4 × 248430
5 × 198744
6 × 165620
7 × 141960
8 × 124215
10 × 99372
12 × 82810
13 × 76440
14 × 70980
15 × 66248
20 × 49686
21 × 47320
24 × 41405
26 × 38220
28 × 35490
30 × 33124
35 × 28392
39 × 25480
40 × 24843
42 × 23660
49 × 20280
52 × 19110
56 × 17745
60 × 16562
65 × 15288
70 × 14196
78 × 12740
84 × 11830
91 × 10920
98 × 10140
104 × 9555
105 × 9464
120 × 8281
130 × 7644
140 × 7098
147 × 6760
156 × 6370
168 × 5915
169 × 5880
182 × 5460
195 × 5096
196 × 5070
210 × 4732
245 × 4056
260 × 3822
273 × 3640
280 × 3549
294 × 3380
312 × 3185
338 × 2940
364 × 2730
390 × 2548
392 × 2535
420 × 2366
455 × 2184
490 × 2028
507 × 1960
520 × 1911
546 × 1820
588 × 1690
637 × 1560
676 × 1470
728 × 1365
735 × 1352
780 × 1274
840 × 1183
845 × 1176
910 × 1092
980 × 1014
First multiples
993,720 · 1,987,440 (double) · 2,981,160 · 3,974,880 · 4,968,600 · 5,962,320 · 6,956,040 · 7,949,760 · 8,943,480 · 9,937,200

Sums & aliquot sequence

As consecutive integers: 331,239 + 331,240 + 331,241 198,742 + 198,743 + 198,744 + 198,745 + 198,746 141,957 + 141,958 + … + 141,963 76,434 + 76,435 + … + 76,446
Aliquot sequence: 993,720 2,761,440 6,746,016 10,962,528 17,814,360 36,656,520 73,313,400 172,206,600 393,069,720 848,210,280 1,702,153,560 3,716,785,320 8,020,438,680 16,540,834,920 — keeps growing

Continued fraction of √n

√993,720 = [996; (1, 5, 1, 8, 1, 10, 1, 8, 1, 5, 1, 1992)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
nine hundred ninety-three thousand seven hundred twenty
Ordinal
993720th
Binary
11110010100110111000
Octal
3624670
Hexadecimal
0xF29B8
Base64
Dym4
One's complement
4,293,973,575 (32-bit)
Scientific notation
9.9372 × 10⁵
As a duration
993,720 s = 11 days, 12 hours, 2 minutes
In other bases
ternary (3) 1212111010110
quaternary (4) 3302212320
quinary (5) 223244340
senary (6) 33144320
septenary (7) 11306100
nonary (9) 1774113
undecimal (11) 619662
duodecimal (12) 3bb0a0
tridecimal (13) 28a400
tetradecimal (14) 1bc200
pentadecimal (15) 149680

As an angle

993,720° = 2,760 × 360° + 120°
120° ≈ 2.094 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ϡϟγψκʹ
Chinese
九十九萬三千七百二十
Chinese (financial)
玖拾玖萬參仟柒佰貳拾
In other modern scripts
Eastern Arabic ٩٩٣٧٢٠ Devanagari ९९३७२० Bengali ৯৯৩৭২০ Tamil ௯௯௩௭௨௦ Thai ๙๙๓๗๒๐ Tibetan ༩༩༣༧༢༠ Khmer ៩៩៣៧២០ Lao ໙໙໓໗໒໐ Burmese ၉၉၃၇၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 993720, here are decompositions:

  • 17 + 993703 = 993720
  • 31 + 993689 = 993720
  • 37 + 993683 = 993720
  • 41 + 993679 = 993720
  • 73 + 993647 = 993720
  • 103 + 993617 = 993720
  • 109 + 993611 = 993720
  • 131 + 993589 = 993720

Showing the first eight; more decompositions exist.

Hex color
#0F29B8
RGB(15, 41, 184)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.41.184.

Address
0.15.41.184
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.41.184

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 993,720 and was likely granted around 1911.

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°.