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998,032

998,032 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.).

998,032 (nine hundred ninety-eight thousand thirty-two) is an even 6-digit number. It is a composite number with 60 divisors, and factors as 2⁴ × 7² × 19 × 67. Its proper divisors sum to 1,405,088, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF3A90.

Abundant Number Arithmetic Number Evil Number Happy Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
31
Digit product
0
Digital root
4
Palindrome
No
Bit width
20 bits
Reversed
230,899
Square (n²)
996,067,873,024
Cube (n³)
994,107,611,449,888,768
Divisor count
60
σ(n) — sum of divisors
2,403,120
φ(n) — Euler's totient
399,168
Sum of prime factors
108

Primality

Prime factorization: 2 4 × 7 2 × 19 × 67

Nearest primes: 998,029 (−3) · 998,069 (+37)

Divisors & multiples

All divisors (60)
1 · 2 · 4 · 7 · 8 · 14 · 16 · 19 · 28 · 38 · 49 · 56 · 67 · 76 · 98 · 112 · 133 · 134 · 152 · 196 · 266 · 268 · 304 · 392 · 469 · 532 · 536 · 784 · 931 · 938 · 1064 · 1072 · 1273 · 1862 · 1876 · 2128 · 2546 · 3283 · 3724 · 3752 · 5092 · 6566 · 7448 · 7504 · 8911 · 10184 · 13132 · 14896 · 17822 · 20368 · 26264 · 35644 · 52528 · 62377 · 71288 · 124754 · 142576 · 249508 · 499016 (half) · 998032
Aliquot sum (sum of proper divisors): 1,405,088
Factor pairs (a × b = 998,032)
1 × 998032
2 × 499016
4 × 249508
7 × 142576
8 × 124754
14 × 71288
16 × 62377
19 × 52528
28 × 35644
38 × 26264
49 × 20368
56 × 17822
67 × 14896
76 × 13132
98 × 10184
112 × 8911
133 × 7504
134 × 7448
152 × 6566
196 × 5092
266 × 3752
268 × 3724
304 × 3283
392 × 2546
469 × 2128
532 × 1876
536 × 1862
784 × 1273
931 × 1072
938 × 1064
First multiples
998,032 · 1,996,064 (double) · 2,994,096 · 3,992,128 · 4,990,160 · 5,988,192 · 6,986,224 · 7,984,256 · 8,982,288 · 9,980,320

Sums & aliquot sequence

As consecutive integers: 142,573 + 142,574 + … + 142,579 52,519 + 52,520 + … + 52,537 31,173 + 31,174 + … + 31,204 20,344 + 20,345 + … + 20,392
Aliquot sequence: 998,032 1,405,088 1,508,032 1,484,596 1,127,244 1,503,020 1,676,884 1,665,644 1,403,716 1,137,704 1,026,616 898,304 1,140,586 591,158 347,794 173,900 221,908 — unresolved within range

Continued fraction of √n

√998,032 = [999; (64, 2, 4, 1, 2, 1, 1, 2, 1, 1, 1, 2, 9, 4, 2, 2, 1, 3, 1, 4, 1, 1, 2, 2, …)]

Representations

In words
nine hundred ninety-eight thousand thirty-two
Ordinal
998032nd
Binary
11110011101010010000
Octal
3635220
Hexadecimal
0xF3A90
Base64
DzqQ
One's complement
4,293,969,263 (32-bit)
Scientific notation
9.98032 × 10⁵
As a duration
998,032 s = 11 days, 13 hours, 13 minutes, 52 seconds
In other bases
ternary (3) 1212201001011
quaternary (4) 3303222100
quinary (5) 223414112
senary (6) 33220304
septenary (7) 11324500
nonary (9) 1781034
undecimal (11) 621922
duodecimal (12) 401694
tridecimal (13) 28c369
tetradecimal (14) 1bda00
pentadecimal (15) 14aaa7

As an angle

998,032° = 2,772 × 360° + 112°
112° ≈ 1.955 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ϡϟηλβʹ
Chinese
九十九萬八千零三十二
Chinese (financial)
玖拾玖萬捌仟零參拾貳
In other modern scripts
Eastern Arabic ٩٩٨٠٣٢ Devanagari ९९८०३२ Bengali ৯৯৮০৩২ Tamil ௯௯௮௦௩௨ Thai ๙๙๘๐๓๒ Tibetan ༩༩༨༠༣༢ Khmer ៩៩៨០៣២ Lao ໙໙໘໐໓໒ Burmese ၉၉၈၀၃၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 998032, here are decompositions:

  • 3 + 998029 = 998032
  • 5 + 998027 = 998032
  • 23 + 998009 = 998032
  • 41 + 997991 = 998032
  • 59 + 997973 = 998032
  • 71 + 997961 = 998032
  • 83 + 997949 = 998032
  • 239 + 997793 = 998032

Showing the first eight; more decompositions exist.

Hex color
#0F3A90
RGB(15, 58, 144)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.58.144.

Address
0.15.58.144
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.58.144

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 998,032 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 998032 first appears in π at position 79,376 of the decimal expansion (the 79,376ordinal-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°.