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983,448

983,448 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.).

983,448 (nine hundred eighty-three thousand four hundred forty-eight) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3³ × 29 × 157. Its proper divisors sum to 1,860,552, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF0198.

Abundant Number Evil Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
36
Digit product
27,648
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
844,389
Recamán's sequence
a(326,311) = 983,448
Square (n²)
967,169,968,704
Cube (n³)
951,161,371,382,011,392
Divisor count
64
σ(n) — sum of divisors
2,844,000
φ(n) — Euler's totient
314,496
Sum of prime factors
201

Primality

Prime factorization: 2 3 × 3 3 × 29 × 157

Nearest primes: 983,447 (−1) · 983,449 (+1)

Divisors & multiples

All divisors (64)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 18 · 24 · 27 · 29 · 36 · 54 · 58 · 72 · 87 · 108 · 116 · 157 · 174 · 216 · 232 · 261 · 314 · 348 · 471 · 522 · 628 · 696 · 783 · 942 · 1044 · 1256 · 1413 · 1566 · 1884 · 2088 · 2826 · 3132 · 3768 · 4239 · 4553 · 5652 · 6264 · 8478 · 9106 · 11304 · 13659 · 16956 · 18212 · 27318 · 33912 · 36424 · 40977 · 54636 · 81954 · 109272 · 122931 · 163908 · 245862 · 327816 · 491724 (half) · 983448
Aliquot sum (sum of proper divisors): 1,860,552
Factor pairs (a × b = 983,448)
1 × 983448
2 × 491724
3 × 327816
4 × 245862
6 × 163908
8 × 122931
9 × 109272
12 × 81954
18 × 54636
24 × 40977
27 × 36424
29 × 33912
36 × 27318
54 × 18212
58 × 16956
72 × 13659
87 × 11304
108 × 9106
116 × 8478
157 × 6264
174 × 5652
216 × 4553
232 × 4239
261 × 3768
314 × 3132
348 × 2826
471 × 2088
522 × 1884
628 × 1566
696 × 1413
783 × 1256
942 × 1044
First multiples
983,448 · 1,966,896 (double) · 2,950,344 · 3,933,792 · 4,917,240 · 5,900,688 · 6,884,136 · 7,867,584 · 8,851,032 · 9,834,480

Sums & aliquot sequence

As consecutive integers: 327,815 + 327,816 + 327,817 109,268 + 109,269 + … + 109,276 61,458 + 61,459 + … + 61,473 36,411 + 36,412 + … + 36,437
Aliquot sequence: 983,448 1,860,552 3,178,638 3,708,450 6,915,870 13,369,122 20,875,998 29,927,202 29,927,214 37,008,018 43,176,060 93,498,660 190,943,316 297,835,884 456,397,596 697,274,196 995,520,684 — unresolved within range

Continued fraction of √n

√983,448 = [991; (1, 2, 4, 1, 1, 5, 1, 3, 1, 1, 1, 6, 27, 1, 3, 1, 1, 1, 3, 8, 3, 1, 1, 1, …)]

Period length 40 — the block in parentheses repeats forever.

Representations

In words
nine hundred eighty-three thousand four hundred forty-eight
Ordinal
983448th
Binary
11110000000110011000
Octal
3600630
Hexadecimal
0xF0198
Base64
DwGY
One's complement
4,293,983,847 (32-bit)
Scientific notation
9.83448 × 10⁵
As a duration
983,448 s = 11 days, 9 hours, 10 minutes, 48 seconds
In other bases
ternary (3) 1211222001000
quaternary (4) 3300012120
quinary (5) 222432243
senary (6) 33025000
septenary (7) 11234124
nonary (9) 1758030
undecimal (11) 611974
duodecimal (12) 3b5160
tridecimal (13) 28582b
tetradecimal (14) 1b8584
pentadecimal (15) 1465d3

As an angle

983,448° = 2,731 × 360° + 288°
288° ≈ 5.027 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ϡπγυμηʹ
Chinese
九十八萬三千四百四十八
Chinese (financial)
玖拾捌萬參仟肆佰肆拾捌
In other modern scripts
Eastern Arabic ٩٨٣٤٤٨ Devanagari ९८३४४८ Bengali ৯৮৩৪৪৮ Tamil ௯௮௩௪௪௮ Thai ๙๘๓๔๔๘ Tibetan ༩༨༣༤༤༨ Khmer ៩៨៣៤៤៨ Lao ໙໘໓໔໔໘ Burmese ၉၈၃၄၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 983448, here are decompositions:

  • 5 + 983443 = 983448
  • 7 + 983441 = 983448
  • 17 + 983431 = 983448
  • 19 + 983429 = 983448
  • 41 + 983407 = 983448
  • 71 + 983377 = 983448
  • 101 + 983347 = 983448
  • 131 + 983317 = 983448

Showing the first eight; more decompositions exist.

Hex color
#0F0198
RGB(15, 1, 152)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.1.152.

Address
0.15.1.152
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.1.152

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 983,448 and was likely granted around 1910.

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

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.