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996,240

996,240 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.).

996,240 (nine hundred ninety-six thousand two hundred forty) is an even 6-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 3 × 5 × 7 × 593. Its proper divisors sum to 2,539,248, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF3390.

Abundant Number Evil Number Harshad / Niven Practical Number Refactorable 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
42,699
Square (n²)
992,494,137,600
Cube (n³)
988,762,359,642,624,000
Divisor count
80
σ(n) — sum of divisors
3,535,488
φ(n) — Euler's totient
227,328
Sum of prime factors
616

Primality

Prime factorization: 2 4 × 3 × 5 × 7 × 593

Nearest primes: 996,211 (−29) · 996,253 (+13)

Divisors & multiples

All divisors (80)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 10 · 12 · 14 · 15 · 16 · 20 · 21 · 24 · 28 · 30 · 35 · 40 · 42 · 48 · 56 · 60 · 70 · 80 · 84 · 105 · 112 · 120 · 140 · 168 · 210 · 240 · 280 · 336 · 420 · 560 · 593 · 840 · 1186 · 1680 · 1779 · 2372 · 2965 · 3558 · 4151 · 4744 · 5930 · 7116 · 8302 · 8895 · 9488 · 11860 · 12453 · 14232 · 16604 · 17790 · 20755 · 23720 · 24906 · 28464 · 33208 · 35580 · 41510 · 47440 · 49812 · 62265 · 66416 · 71160 · 83020 · 99624 · 124530 · 142320 · 166040 · 199248 · 249060 · 332080 · 498120 (half) · 996240
Aliquot sum (sum of proper divisors): 2,539,248
Factor pairs (a × b = 996,240)
1 × 996240
2 × 498120
3 × 332080
4 × 249060
5 × 199248
6 × 166040
7 × 142320
8 × 124530
10 × 99624
12 × 83020
14 × 71160
15 × 66416
16 × 62265
20 × 49812
21 × 47440
24 × 41510
28 × 35580
30 × 33208
35 × 28464
40 × 24906
42 × 23720
48 × 20755
56 × 17790
60 × 16604
70 × 14232
80 × 12453
84 × 11860
105 × 9488
112 × 8895
120 × 8302
140 × 7116
168 × 5930
210 × 4744
240 × 4151
280 × 3558
336 × 2965
420 × 2372
560 × 1779
593 × 1680
840 × 1186
First multiples
996,240 · 1,992,480 (double) · 2,988,720 · 3,984,960 · 4,981,200 · 5,977,440 · 6,973,680 · 7,969,920 · 8,966,160 · 9,962,400

Sums & aliquot sequence

As consecutive integers: 332,079 + 332,080 + 332,081 199,246 + 199,247 + 199,248 + 199,249 + 199,250 142,317 + 142,318 + … + 142,323 66,409 + 66,410 + … + 66,423
Aliquot sequence: 996,240 2,539,248 4,020,600 8,445,120 19,840,320 49,234,218 58,186,038 58,958,538 62,145,942 62,285,610 101,943,510 149,336,202 157,724,790 220,814,778 226,017,222 226,361,130 317,532,054 — unresolved within range

Continued fraction of √n

√996,240 = [998; (8, 2, 5, 2, 8, 1996)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words
nine hundred ninety-six thousand two hundred forty
Ordinal
996240th
Binary
11110011001110010000
Octal
3631620
Hexadecimal
0xF3390
Base64
DzOQ
One's complement
4,293,971,055 (32-bit)
Scientific notation
9.9624 × 10⁵
As a duration
996,240 s = 11 days, 12 hours, 44 minutes
In other bases
ternary (3) 1212121120210
quaternary (4) 3303032100
quinary (5) 223334430
senary (6) 33204120
septenary (7) 11316330
nonary (9) 1777523
undecimal (11) 620543
duodecimal (12) 400640
tridecimal (13) 28b5bb
tetradecimal (14) 1bd0c0
pentadecimal (15) 14a2b0

As an angle

996,240° = 2,767 × 360° + 120°
120° ≈ 2.094 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ϡϟϛσμʹ
Chinese
九十九萬六千二百四十
Chinese (financial)
玖拾玖萬陸仟貳佰肆拾
In other modern scripts
Eastern Arabic ٩٩٦٢٤٠ Devanagari ९९६२४० Bengali ৯৯৬২৪০ Tamil ௯௯௬௨௪௦ Thai ๙๙๖๒๔๐ Tibetan ༩༩༦༢༤༠ Khmer ៩៩៦២៤០ Lao ໙໙໖໒໔໐ Burmese ၉၉၆၂၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 996240, here are decompositions:

  • 29 + 996211 = 996240
  • 31 + 996209 = 996240
  • 43 + 996197 = 996240
  • 53 + 996187 = 996240
  • 67 + 996173 = 996240
  • 71 + 996169 = 996240
  • 73 + 996167 = 996240
  • 79 + 996161 = 996240

Showing the first eight; more decompositions exist.

Hex color
#0F3390
RGB(15, 51, 144)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.51.144.

Address
0.15.51.144
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.51.144

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 996,240 and was likely granted around 1911.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 996240 first appears in π at position 908,939 of the decimal expansion (the 908,939ordinal-suffix:th 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°.