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998,976

998,976 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.).

998,976 (nine hundred ninety-eight thousand nine hundred seventy-six) is an even 6-digit number. It is a composite number with 84 divisors, and factors as 2⁶ × 3 × 11² × 43. Its proper divisors sum to 1,973,840, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF3E40.

Abundant Number Evil Number Gapful Number Happy Number Harshad / Niven Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
48
Digit product
244,944
Digital root
3
Palindrome
No
Bit width
20 bits
Reversed
679,899
Square (n²)
997,953,048,576
Cube (n³)
996,931,144,654,258,176
Divisor count
84
σ(n) — sum of divisors
2,972,816
φ(n) — Euler's totient
295,680
Sum of prime factors
80

Primality

Prime factorization: 2 6 × 3 × 11 2 × 43

Nearest primes: 998,969 (−7) · 998,983 (+7)

Divisors & multiples

All divisors (84)
1 · 2 · 3 · 4 · 6 · 8 · 11 · 12 · 16 · 22 · 24 · 32 · 33 · 43 · 44 · 48 · 64 · 66 · 86 · 88 · 96 · 121 · 129 · 132 · 172 · 176 · 192 · 242 · 258 · 264 · 344 · 352 · 363 · 473 · 484 · 516 · 528 · 688 · 704 · 726 · 946 · 968 · 1032 · 1056 · 1376 · 1419 · 1452 · 1892 · 1936 · 2064 · 2112 · 2752 · 2838 · 2904 · 3784 · 3872 · 4128 · 5203 · 5676 · 5808 · 7568 · 7744 · 8256 · 10406 · 11352 · 11616 · 15136 · 15609 · 20812 · 22704 · 23232 · 30272 · 31218 · 41624 · 45408 · 62436 · 83248 · 90816 · 124872 · 166496 · 249744 · 332992 · 499488 (half) · 998976
Aliquot sum (sum of proper divisors): 1,973,840
Factor pairs (a × b = 998,976)
1 × 998976
2 × 499488
3 × 332992
4 × 249744
6 × 166496
8 × 124872
11 × 90816
12 × 83248
16 × 62436
22 × 45408
24 × 41624
32 × 31218
33 × 30272
43 × 23232
44 × 22704
48 × 20812
64 × 15609
66 × 15136
86 × 11616
88 × 11352
96 × 10406
121 × 8256
129 × 7744
132 × 7568
172 × 5808
176 × 5676
192 × 5203
242 × 4128
258 × 3872
264 × 3784
344 × 2904
352 × 2838
363 × 2752
473 × 2112
484 × 2064
516 × 1936
528 × 1892
688 × 1452
704 × 1419
726 × 1376
946 × 1056
968 × 1032
First multiples
998,976 · 1,997,952 (double) · 2,996,928 · 3,995,904 · 4,994,880 · 5,993,856 · 6,992,832 · 7,991,808 · 8,990,784 · 9,989,760

Sums & aliquot sequence

As consecutive integers: 332,991 + 332,992 + 332,993 90,811 + 90,812 + … + 90,821 30,256 + 30,257 + … + 30,288 23,211 + 23,212 + … + 23,253
Aliquot sequence: 998,976 1,973,840 3,034,768 3,545,168 3,948,400 5,538,592 5,365,574 3,184,990 2,627,858 1,313,932 1,125,428 844,078 446,090 383,350 460,346 254,074 127,040 — unresolved within range

Continued fraction of √n

√998,976 = [999; (2, 20, 9, 4, 51, 79, 1, 15, 1, 1, 7, 11, 1, 2, 3, 1, 1, 3, 1, 1, 3, 2, 1, 11, …)]

Period length 36 — the block in parentheses repeats forever.

Representations

In words
nine hundred ninety-eight thousand nine hundred seventy-six
Ordinal
998976th
Binary
11110011111001000000
Octal
3637100
Hexadecimal
0xF3E40
Base64
Dz5A
One's complement
4,293,968,319 (32-bit)
Scientific notation
9.98976 × 10⁵
As a duration
998,976 s = 11 days, 13 hours, 29 minutes, 36 seconds
In other bases
ternary (3) 1212202100010
quaternary (4) 3303321000
quinary (5) 223431401
senary (6) 33224520
septenary (7) 11330316
nonary (9) 1782303
undecimal (11) 622600
duodecimal (12) 402140
tridecimal (13) 28c914
tetradecimal (14) 1c00b6
pentadecimal (15) 14aed6

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ϡϟηϡοϛʹ
Chinese
九十九萬八千九百七十六
Chinese (financial)
玖拾玖萬捌仟玖佰柒拾陸
In other modern scripts
Eastern Arabic ٩٩٨٩٧٦ Devanagari ९९८९७६ Bengali ৯৯৮৯৭৬ Tamil ௯௯௮௯௭௬ Thai ๙๙๘๙๗๖ Tibetan ༩༩༨༩༧༦ Khmer ៩៩៨៩៧៦ Lao ໙໙໘໙໗໖ Burmese ၉၉၈၉၇၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 998976, here are decompositions:

  • 7 + 998969 = 998976
  • 19 + 998957 = 998976
  • 29 + 998947 = 998976
  • 59 + 998917 = 998976
  • 67 + 998909 = 998976
  • 79 + 998897 = 998976
  • 137 + 998839 = 998976
  • 157 + 998819 = 998976

Showing the first eight; more decompositions exist.

Hex color
#0F3E40
RGB(15, 62, 64)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.62.64.

Address
0.15.62.64
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.62.64

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 998,976 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 998976 first appears in π at position 55,647 of the decimal expansion (the 55,647ordinal-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°.