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996,324

996,324 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.).

996,324 (nine hundred ninety-six thousand three hundred twenty-four) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 7 × 29 × 409. Its proper divisors sum to 1,758,876, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF33E4.

Abundant Number Arithmetic Number Cube-Free Evil Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
33
Digit product
11,664
Digital root
6
Palindrome
No
Bit width
20 bits
Reversed
423,699
Square (n²)
992,661,512,976
Cube (n³)
989,012,489,254,300,224
Divisor count
48
σ(n) — sum of divisors
2,755,200
φ(n) — Euler's totient
274,176
Sum of prime factors
452

Primality

Prime factorization: 2 2 × 3 × 7 × 29 × 409

Nearest primes: 996,323 (−1) · 996,329 (+5)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 6 · 7 · 12 · 14 · 21 · 28 · 29 · 42 · 58 · 84 · 87 · 116 · 174 · 203 · 348 · 406 · 409 · 609 · 812 · 818 · 1218 · 1227 · 1636 · 2436 · 2454 · 2863 · 4908 · 5726 · 8589 · 11452 · 11861 · 17178 · 23722 · 34356 · 35583 · 47444 · 71166 · 83027 · 142332 · 166054 · 249081 · 332108 · 498162 (half) · 996324
Aliquot sum (sum of proper divisors): 1,758,876
Factor pairs (a × b = 996,324)
1 × 996324
2 × 498162
3 × 332108
4 × 249081
6 × 166054
7 × 142332
12 × 83027
14 × 71166
21 × 47444
28 × 35583
29 × 34356
42 × 23722
58 × 17178
84 × 11861
87 × 11452
116 × 8589
174 × 5726
203 × 4908
348 × 2863
406 × 2454
409 × 2436
609 × 1636
812 × 1227
818 × 1218
First multiples
996,324 · 1,992,648 (double) · 2,988,972 · 3,985,296 · 4,981,620 · 5,977,944 · 6,974,268 · 7,970,592 · 8,966,916 · 9,963,240

Sums & aliquot sequence

As consecutive integers: 332,107 + 332,108 + 332,109 142,329 + 142,330 + … + 142,335 124,537 + 124,538 + … + 124,544 47,434 + 47,435 + … + 47,454
Aliquot sequence: 996,324 1,758,876 2,931,684 5,350,044 8,916,964 9,494,044 10,184,636 12,582,724 14,871,164 18,223,492 19,258,568 23,385,412 18,769,148 15,402,052 11,764,668 16,429,204 15,409,484 — unresolved within range

Continued fraction of √n

√996,324 = [998; (6, 4, 4, 1, 23, 4, 8, 1, 1, 4, 1, 4, 1, 1, 1, 79, 4, 1, 5, 2, 3, 1, 1, 7, …)]

Representations

In words
nine hundred ninety-six thousand three hundred twenty-four
Ordinal
996324th
Binary
11110011001111100100
Octal
3631744
Hexadecimal
0xF33E4
Base64
DzPk
One's complement
4,293,970,971 (32-bit)
Scientific notation
9.96324 × 10⁵
As a duration
996,324 s = 11 days, 12 hours, 45 minutes, 24 seconds
In other bases
ternary (3) 1212121200220
quaternary (4) 3303033210
quinary (5) 223340244
senary (6) 33204340
septenary (7) 11316510
nonary (9) 1777626
undecimal (11) 62060a
duodecimal (12) 4006b0
tridecimal (13) 28b654
tetradecimal (14) 1bd140
pentadecimal (15) 14a319

As an angle

996,324° = 2,767 × 360° + 204°
204° ≈ 3.56 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ϡϟϛτκδʹ
Chinese
九十九萬六千三百二十四
Chinese (financial)
玖拾玖萬陸仟參佰貳拾肆
In other modern scripts
Eastern Arabic ٩٩٦٣٢٤ Devanagari ९९६३२४ Bengali ৯৯৬৩২৪ Tamil ௯௯௬௩௨௪ Thai ๙๙๖๓๒๔ Tibetan ༩༩༦༣༢༤ Khmer ៩៩៦៣២៤ Lao ໙໙໖໓໒໔ Burmese ၉၉၆၃၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 996324, here are decompositions:

  • 13 + 996311 = 996324
  • 23 + 996301 = 996324
  • 31 + 996293 = 996324
  • 53 + 996271 = 996324
  • 61 + 996263 = 996324
  • 67 + 996257 = 996324
  • 71 + 996253 = 996324
  • 113 + 996211 = 996324

Showing the first eight; more decompositions exist.

Hex color
#0F33E4
RGB(15, 51, 228)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.51.228.

Address
0.15.51.228
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.51.228

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 996,324 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 996324 first appears in π at position 346,179 of the decimal expansion (the 346,179ordinal-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°.