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996,624

996,624 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.).

996,624 (nine hundred ninety-six thousand six hundred twenty-four) is an even 6-digit number. It is a composite number with 50 divisors, and factors as 2⁴ × 3⁴ × 769. Its proper divisors sum to 1,891,646, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF3510.

Abundant Number Harshad / Niven Odious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
36
Digit product
23,328
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
426,699
Square (n²)
993,259,397,376
Cube (n³)
989,906,153,650,458,624
Divisor count
50
σ(n) — sum of divisors
2,888,270
φ(n) — Euler's totient
331,776
Sum of prime factors
789

Primality

Prime factorization: 2 4 × 3 4 × 769

Nearest primes: 996,617 (−7) · 996,629 (+5)

Divisors & multiples

All divisors (50)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 18 · 24 · 27 · 36 · 48 · 54 · 72 · 81 · 108 · 144 · 162 · 216 · 324 · 432 · 648 · 769 · 1296 · 1538 · 2307 · 3076 · 4614 · 6152 · 6921 · 9228 · 12304 · 13842 · 18456 · 20763 · 27684 · 36912 · 41526 · 55368 · 62289 · 83052 · 110736 · 124578 · 166104 · 249156 · 332208 · 498312 (half) · 996624
Aliquot sum (sum of proper divisors): 1,891,646
Factor pairs (a × b = 996,624)
1 × 996624
2 × 498312
3 × 332208
4 × 249156
6 × 166104
8 × 124578
9 × 110736
12 × 83052
16 × 62289
18 × 55368
24 × 41526
27 × 36912
36 × 27684
48 × 20763
54 × 18456
72 × 13842
81 × 12304
108 × 9228
144 × 6921
162 × 6152
216 × 4614
324 × 3076
432 × 2307
648 × 1538
769 × 1296
First multiples
996,624 · 1,993,248 (double) · 2,989,872 · 3,986,496 · 4,983,120 · 5,979,744 · 6,976,368 · 7,972,992 · 8,969,616 · 9,966,240

Sums & aliquot sequence

As a sum of two squares: 432² + 900²
As consecutive integers: 332,207 + 332,208 + 332,209 110,732 + 110,733 + … + 110,740 36,899 + 36,900 + … + 36,925 31,129 + 31,130 + … + 31,160
Aliquot sequence: 996,624 1,891,646 945,826 675,614 433,762 309,854 154,930 123,962 61,984 70,316 52,744 51,656 54,184 55,436 41,584 43,232 54,544 — unresolved within range

Continued fraction of √n

√996,624 = [998; (3, 4, 1, 1, 4, 1, 1, 1, 20, 2, 1, 2, 4, 2, 1, 8, 5, 2, 4, 5, 1, 1, 1, 5, …)]

Representations

In words
nine hundred ninety-six thousand six hundred twenty-four
Ordinal
996624th
Binary
11110011010100010000
Octal
3632420
Hexadecimal
0xF3510
Base64
DzUQ
One's complement
4,293,970,671 (32-bit)
Scientific notation
9.96624 × 10⁵
As a duration
996,624 s = 11 days, 12 hours, 50 minutes, 24 seconds
In other bases
ternary (3) 1212122010000
quaternary (4) 3303110100
quinary (5) 223342444
senary (6) 33210000
septenary (7) 11320416
nonary (9) 1778100
undecimal (11) 620862
duodecimal (12) 400900
tridecimal (13) 28b825
tetradecimal (14) 1bd2b6
pentadecimal (15) 14a469

As an angle

996,624° = 2,768 × 360° + 144°
144° ≈ 2.513 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ϡϟϛχκδʹ
Chinese
九十九萬六千六百二十四
Chinese (financial)
玖拾玖萬陸仟陸佰貳拾肆
In other modern scripts
Eastern Arabic ٩٩٦٦٢٤ Devanagari ९९६६२४ Bengali ৯৯৬৬২৪ Tamil ௯௯௬௬௨௪ Thai ๙๙๖๖๒๔ Tibetan ༩༩༦༦༢༤ Khmer ៩៩៦៦២៤ Lao ໙໙໖໖໒໔ Burmese ၉၉၆၆၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 996624, here are decompositions:

  • 7 + 996617 = 996624
  • 23 + 996601 = 996624
  • 53 + 996571 = 996624
  • 61 + 996563 = 996624
  • 73 + 996551 = 996624
  • 113 + 996511 = 996624
  • 137 + 996487 = 996624
  • 163 + 996461 = 996624

Showing the first eight; more decompositions exist.

Hex color
#0F3510
RGB(15, 53, 16)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.53.16.

Address
0.15.53.16
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.53.16

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 996,624 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 996624 first appears in π at position 877,055 of the decimal expansion (the 877,055ordinal-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°.