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988,428

988,428 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.).

988,428 (nine hundred eighty-eight thousand four hundred twenty-eight) is an even 6-digit number. It is a composite number with 54 divisors, and factors as 2² × 3 × 7² × 41². Its proper divisors sum to 1,761,480, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF150C.

Abundant Number Cube-Free Gapful Number Happy Number Odious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
39
Digit product
36,864
Digital root
3
Palindrome
No
Bit width
20 bits
Reversed
824,889
Square (n²)
976,989,911,184
Cube (n³)
965,684,183,931,778,752
Divisor count
54
σ(n) — sum of divisors
2,749,908
φ(n) — Euler's totient
275,520
Sum of prime factors
103

Primality

Prime factorization: 2 2 × 3 × 7 2 × 41 2

Nearest primes: 988,417 (−11) · 988,439 (+11)

Divisors & multiples

All divisors (54)
1 · 2 · 3 · 4 · 6 · 7 · 12 · 14 · 21 · 28 · 41 · 42 · 49 · 82 · 84 · 98 · 123 · 147 · 164 · 196 · 246 · 287 · 294 · 492 · 574 · 588 · 861 · 1148 · 1681 · 1722 · 2009 · 3362 · 3444 · 4018 · 5043 · 6027 · 6724 · 8036 · 10086 · 11767 · 12054 · 20172 · 23534 · 24108 · 35301 · 47068 · 70602 · 82369 · 141204 · 164738 · 247107 · 329476 · 494214 (half) · 988428
Aliquot sum (sum of proper divisors): 1,761,480
Factor pairs (a × b = 988,428)
1 × 988428
2 × 494214
3 × 329476
4 × 247107
6 × 164738
7 × 141204
12 × 82369
14 × 70602
21 × 47068
28 × 35301
41 × 24108
42 × 23534
49 × 20172
82 × 12054
84 × 11767
98 × 10086
123 × 8036
147 × 6724
164 × 6027
196 × 5043
246 × 4018
287 × 3444
294 × 3362
492 × 2009
574 × 1722
588 × 1681
861 × 1148
First multiples
988,428 · 1,976,856 (double) · 2,965,284 · 3,953,712 · 4,942,140 · 5,930,568 · 6,918,996 · 7,907,424 · 8,895,852 · 9,884,280

Sums & aliquot sequence

As consecutive integers: 329,475 + 329,476 + 329,477 141,201 + 141,202 + … + 141,207 123,550 + 123,551 + … + 123,557 47,058 + 47,059 + … + 47,078
Aliquot sequence: 988,428 1,761,480 4,977,720 13,166,280 31,588,920 83,323,080 196,745,940 400,050,624 714,135,616 707,573,504 855,350,656 866,260,424 768,736,696 1,047,160,184 1,236,825,256 1,082,222,114 551,601,886 — unresolved within range

Continued fraction of √n

√988,428 = [994; (5, 13, 1, 9, 4, 1, 1, 1, 4, 2, 3, 40, 3, 2, 4, 1, 1, 1, 4, 9, 1, 13, 5, 1988)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words
nine hundred eighty-eight thousand four hundred twenty-eight
Ordinal
988428th
Binary
11110001010100001100
Octal
3612414
Hexadecimal
0xF150C
Base64
DxUM
One's complement
4,293,978,867 (32-bit)
Scientific notation
9.88428 × 10⁵
As a duration
988,428 s = 11 days, 10 hours, 33 minutes, 48 seconds
In other bases
ternary (3) 1212012212110
quaternary (4) 3301110030
quinary (5) 223112203
senary (6) 33104020
septenary (7) 11254500
nonary (9) 1765773
undecimal (11) 615691
duodecimal (12) 3b8010
tridecimal (13) 287b8c
tetradecimal (14) 1ba300
pentadecimal (15) 147d03

As an angle

988,428° = 2,745 × 360° + 228°
228° ≈ 3.979 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ϡπηυκηʹ
Chinese
九十八萬八千四百二十八
Chinese (financial)
玖拾捌萬捌仟肆佰貳拾捌
In other modern scripts
Eastern Arabic ٩٨٨٤٢٨ Devanagari ९८८४२८ Bengali ৯৮৮৪২৮ Tamil ௯௮௮௪௨௮ Thai ๙๘๘๔๒๘ Tibetan ༩༨༨༤༢༨ Khmer ៩៨៨៤២៨ Lao ໙໘໘໔໒໘ Burmese ၉၈၈၄၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 988428, here are decompositions:

  • 11 + 988417 = 988428
  • 19 + 988409 = 988428
  • 61 + 988367 = 988428
  • 71 + 988357 = 988428
  • 107 + 988321 = 988428
  • 109 + 988319 = 988428
  • 131 + 988297 = 988428
  • 149 + 988279 = 988428

Showing the first eight; more decompositions exist.

Hex color
#0F150C
RGB(15, 21, 12)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.21.12.

Address
0.15.21.12
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.21.12

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 988,428 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 988428 first appears in π at position 333,156 of the decimal expansion (the 333,156ordinal-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°.