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998,928

998,928 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.).

998,928 (nine hundred ninety-eight thousand nine hundred twenty-eight) is an even 6-digit number. It is a composite number with 60 divisors, and factors as 2⁴ × 3² × 7 × 991. Its proper divisors sum to 2,199,280, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF3E10.

Abundant Number Evil Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
45
Digit product
93,312
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
829,899
Square (n²)
997,857,149,184
Cube (n³)
996,787,446,320,074,752
Divisor count
60
σ(n) — sum of divisors
3,198,208
φ(n) — Euler's totient
285,120
Sum of prime factors
1,012

Primality

Prime factorization: 2 4 × 3 2 × 7 × 991

Nearest primes: 998,927 (−1) · 998,941 (+13)

Divisors & multiples

All divisors (60)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 9 · 12 · 14 · 16 · 18 · 21 · 24 · 28 · 36 · 42 · 48 · 56 · 63 · 72 · 84 · 112 · 126 · 144 · 168 · 252 · 336 · 504 · 991 · 1008 · 1982 · 2973 · 3964 · 5946 · 6937 · 7928 · 8919 · 11892 · 13874 · 15856 · 17838 · 20811 · 23784 · 27748 · 35676 · 41622 · 47568 · 55496 · 62433 · 71352 · 83244 · 110992 · 124866 · 142704 · 166488 · 249732 · 332976 · 499464 (half) · 998928
Aliquot sum (sum of proper divisors): 2,199,280
Factor pairs (a × b = 998,928)
1 × 998928
2 × 499464
3 × 332976
4 × 249732
6 × 166488
7 × 142704
8 × 124866
9 × 110992
12 × 83244
14 × 71352
16 × 62433
18 × 55496
21 × 47568
24 × 41622
28 × 35676
36 × 27748
42 × 23784
48 × 20811
56 × 17838
63 × 15856
72 × 13874
84 × 11892
112 × 8919
126 × 7928
144 × 6937
168 × 5946
252 × 3964
336 × 2973
504 × 1982
991 × 1008
First multiples
998,928 · 1,997,856 (double) · 2,996,784 · 3,995,712 · 4,994,640 · 5,993,568 · 6,992,496 · 7,991,424 · 8,990,352 · 9,989,280

Sums & aliquot sequence

As consecutive integers: 332,975 + 332,976 + 332,977 142,701 + 142,702 + … + 142,707 110,988 + 110,989 + … + 110,996 47,558 + 47,559 + … + 47,578
Aliquot sequence: 998,928 2,199,280 3,059,312 2,895,664 2,795,936 3,844,768 3,788,564 3,529,684 2,667,500 3,761,692 4,076,516 3,057,394 1,528,700 1,788,796 1,353,252 1,804,364 1,365,460 — unresolved within range

Continued fraction of √n

√998,928 = [999; (2, 6, 2, 2, 1, 1, 41, 1, 17, 1, 1, 7, 3, 2, 1, 1, 4, 1, 1, 1, 2, 2, 2, 24, …)]

Representations

In words
nine hundred ninety-eight thousand nine hundred twenty-eight
Ordinal
998928th
Binary
11110011111000010000
Octal
3637020
Hexadecimal
0xF3E10
Base64
Dz4Q
One's complement
4,293,968,367 (32-bit)
Scientific notation
9.98928 × 10⁵
As a duration
998,928 s = 11 days, 13 hours, 28 minutes, 48 seconds
In other bases
ternary (3) 1212202021100
quaternary (4) 3303320100
quinary (5) 223431203
senary (6) 33224400
septenary (7) 11330220
nonary (9) 1782240
undecimal (11) 622567
duodecimal (12) 402100
tridecimal (13) 28c8a8
tetradecimal (14) 1c0080
pentadecimal (15) 14aea3

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ϡϟηϡκηʹ
Chinese
九十九萬八千九百二十八
Chinese (financial)
玖拾玖萬捌仟玖佰貳拾捌
In other modern scripts
Eastern Arabic ٩٩٨٩٢٨ Devanagari ९९८९२८ Bengali ৯৯৮৯২৮ Tamil ௯௯௮௯௨௮ Thai ๙๙๘๙๒๘ Tibetan ༩༩༨༩༢༨ Khmer ៩៩៨៩២៨ Lao ໙໙໘໙໒໘ Burmese ၉၉၈၉၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 998928, here are decompositions:

  • 11 + 998917 = 998928
  • 19 + 998909 = 998928
  • 31 + 998897 = 998928
  • 67 + 998861 = 998928
  • 71 + 998857 = 998928
  • 89 + 998839 = 998928
  • 97 + 998831 = 998928
  • 109 + 998819 = 998928

Showing the first eight; more decompositions exist.

Hex color
#0F3E10
RGB(15, 62, 16)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.62.16.

Address
0.15.62.16
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.62.16

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 998,928 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 998928 first appears in π at position 28,857 of the decimal expansion (the 28,857ordinal-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°.