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1,041,984

1,041,984 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.).

1,041,984 (one million forty-one thousand nine hundred eighty-four) is an even 7-digit number. It is a composite number with 84 divisors, and factors as 2⁶ × 3⁵ × 67. Its proper divisors sum to 2,101,520, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFE640.

Abundant Number Evil Number Frugal Number Harshad / Niven Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
27
Digit product
0
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
4,891,401
Square (n²)
1,085,730,656,256
Cube (n³)
1,131,313,972,128,251,904
Divisor count
84
σ(n) — sum of divisors
3,143,504
φ(n) — Euler's totient
342,144
Sum of prime factors
94

Primality

Prime factorization: 2 6 × 3 5 × 67

Nearest primes: 1,041,983 (−1) · 1,041,991 (+7)

Divisors & multiples

All divisors (84)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 18 · 24 · 27 · 32 · 36 · 48 · 54 · 64 · 67 · 72 · 81 · 96 · 108 · 134 · 144 · 162 · 192 · 201 · 216 · 243 · 268 · 288 · 324 · 402 · 432 · 486 · 536 · 576 · 603 · 648 · 804 · 864 · 972 · 1072 · 1206 · 1296 · 1608 · 1728 · 1809 · 1944 · 2144 · 2412 · 2592 · 3216 · 3618 · 3888 · 4288 · 4824 · 5184 · 5427 · 6432 · 7236 · 7776 · 9648 · 10854 · 12864 · 14472 · 15552 · 16281 · 19296 · 21708 · 28944 · 32562 · 38592 · 43416 · 57888 · 65124 · 86832 · 115776 · 130248 · 173664 · 260496 · 347328 · 520992 (half) · 1041984
Aliquot sum (sum of proper divisors): 2,101,520
Factor pairs (a × b = 1,041,984)
1 × 1041984
2 × 520992
3 × 347328
4 × 260496
6 × 173664
8 × 130248
9 × 115776
12 × 86832
16 × 65124
18 × 57888
24 × 43416
27 × 38592
32 × 32562
36 × 28944
48 × 21708
54 × 19296
64 × 16281
67 × 15552
72 × 14472
81 × 12864
96 × 10854
108 × 9648
134 × 7776
144 × 7236
162 × 6432
192 × 5427
201 × 5184
216 × 4824
243 × 4288
268 × 3888
288 × 3618
324 × 3216
402 × 2592
432 × 2412
486 × 2144
536 × 1944
576 × 1809
603 × 1728
648 × 1608
804 × 1296
864 × 1206
972 × 1072
First multiples
1,041,984 · 2,083,968 (double) · 3,125,952 · 4,167,936 · 5,209,920 · 6,251,904 · 7,293,888 · 8,335,872 · 9,377,856 · 10,419,840

Sums & aliquot sequence

As consecutive integers: 347,327 + 347,328 + 347,329 115,772 + 115,773 + … + 115,780 38,579 + 38,580 + … + 38,605 15,519 + 15,520 + … + 15,585
Aliquot sequence: 1,041,984 2,101,520 2,849,800 3,776,450 3,401,662 2,164,730 1,858,054 1,182,434 782,302 391,154 198,634 99,320 142,600 214,520 286,600 380,210 311,206 — unresolved within range

Continued fraction of √n

√1,041,984 = [1020; (1, 3, 2, 7, 3, 1, 5, 1, 4, 6, 10, 1, 1, 8, 1, 1, 4, 2, 21, 25, 6, 2, 1, 16, …)]

Representations

In words
one million forty-one thousand nine hundred eighty-four
Ordinal
1041984th
Binary
11111110011001000000
Octal
3763100
Hexadecimal
0xFE640
Base64
D+ZA
One's complement
4,293,925,311 (32-bit)
Scientific notation
1.041984 × 10⁶
As a duration
1,041,984 s = 12 days, 1 hour, 26 minutes, 24 seconds
In other bases
ternary (3) 1221221100000
quaternary (4) 3332121000
quinary (5) 231320414
senary (6) 34200000
septenary (7) 11566566
nonary (9) 1857300
undecimal (11) 651949
duodecimal (12) 423000
tridecimal (13) 2a6378
tetradecimal (14) 1d1a36
pentadecimal (15) 158b09

As an angle

1,041,984° = 2,894 × 360° + 144°
144° ≈ 2.513 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese
一百零四萬一千九百八十四
Chinese (financial)
壹佰零肆萬壹仟玖佰捌拾肆
In other modern scripts
Eastern Arabic ١٠٤١٩٨٤ Devanagari १०४१९८४ Bengali ১০৪১৯৮৪ Tamil ௧௦௪௧௯௮௪ Thai ๑๐๔๑๙๘๔ Tibetan ༡༠༤༡༩༨༤ Khmer ១០៤១៩៨៤ Lao ໑໐໔໑໙໘໔ Burmese ၁၀၄၁၉၈၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1041984, here are decompositions:

  • 23 + 1041961 = 1041984
  • 127 + 1041857 = 1041984
  • 131 + 1041853 = 1041984
  • 191 + 1041793 = 1041984
  • 197 + 1041787 = 1041984
  • 227 + 1041757 = 1041984
  • 283 + 1041701 = 1041984
  • 311 + 1041673 = 1041984

Showing the first eight; more decompositions exist.

Hex color
#0FE640
RGB(15, 230, 64)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.230.64.

Address
0.15.230.64
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.230.64

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 4, 1984 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 1984-04-01 (DMMYYYY (Euro, single-digit day))
  • 1984-10-04 (MMDYYYY (US, single-digit day))
  • 1984-04-10 (DDMYYYY (Euro, single-digit month))
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 1,041,984 and was likely granted around 1912.

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

Position in π

The digit sequence 1041984 first appears in π at position 683,400 of the decimal expansion (the 683,400ordinal-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°.