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1,041,824

1,041,824 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.).

1,041,824 (one million forty-one thousand eight hundred twenty-four) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 7 × 4,651. Its proper divisors sum to 1,302,784, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFE5A0.

Abundant Number Arithmetic Number Gapful Number Odious Number Pernicious Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
20 bits
Reversed
4,281,401
Square (n²)
1,085,397,246,976
Cube (n³)
1,130,792,901,433,524,224
Divisor count
24
σ(n) — sum of divisors
2,344,608
φ(n) — Euler's totient
446,400
Sum of prime factors
4,668

Primality

Prime factorization: 2 5 × 7 × 4651

Nearest primes: 1,041,823 (−1) · 1,041,829 (+5)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 7 · 8 · 14 · 16 · 28 · 32 · 56 · 112 · 224 · 4651 · 9302 · 18604 · 32557 · 37208 · 65114 · 74416 · 130228 · 148832 · 260456 · 520912 (half) · 1041824
Aliquot sum (sum of proper divisors): 1,302,784
Factor pairs (a × b = 1,041,824)
1 × 1041824
2 × 520912
4 × 260456
7 × 148832
8 × 130228
14 × 74416
16 × 65114
28 × 37208
32 × 32557
56 × 18604
112 × 9302
224 × 4651
First multiples
1,041,824 · 2,083,648 (double) · 3,125,472 · 4,167,296 · 5,209,120 · 6,250,944 · 7,292,768 · 8,334,592 · 9,376,416 · 10,418,240

Sums & aliquot sequence

As consecutive integers: 148,829 + 148,830 + … + 148,835 16,247 + 16,248 + … + 16,310 2,102 + 2,103 + … + 2,549
Aliquot sequence: 1,041,824 1,302,784 1,673,280 4,983,552 12,022,528 15,407,952 30,901,584 60,332,656 58,769,096 51,422,974 28,864,226 14,455,774 7,227,890 7,161,814 4,557,554 2,391,034 1,419,206 — unresolved within range

Continued fraction of √n

√1,041,824 = [1020; (1, 2, 3, 4, 4, 17, 1, 4, 1, 5, 1, 6, 4, 1, 3, 5, 3, 1, 1, 16, 3, 3, 2, 1, …)]

Representations

In words
one million forty-one thousand eight hundred twenty-four
Ordinal
1041824th
Binary
11111110010110100000
Octal
3762640
Hexadecimal
0xFE5A0
Base64
D+Wg
One's complement
4,293,925,471 (32-bit)
Scientific notation
1.041824 × 10⁶
As a duration
1,041,824 s = 12 days, 1 hour, 23 minutes, 44 seconds
In other bases
ternary (3) 1221221010002
quaternary (4) 3332112200
quinary (5) 231314244
senary (6) 34155132
septenary (7) 11566250
nonary (9) 1857102
undecimal (11) 651813
duodecimal (12) 422aa8
tridecimal (13) 2a6284
tetradecimal (14) 1d1960
pentadecimal (15) 158a4e

As an angle

1,041,824° = 2,893 × 360° + 344°
344° ≈ 6.004 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Chinese
一百零四萬一千八百二十四
Chinese (financial)
壹佰零肆萬壹仟捌佰貳拾肆
In other modern scripts
Eastern Arabic ١٠٤١٨٢٤ Devanagari १०४१८२४ Bengali ১০৪১৮২৪ Tamil ௧௦௪௧௮௨௪ Thai ๑๐๔๑๘๒๔ Tibetan ༡༠༤༡༨༢༤ Khmer ១០៤១៨២៤ Lao ໑໐໔໑໘໒໔ Burmese ၁၀၄၁၈၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1041824, here are decompositions:

  • 31 + 1041793 = 1041824
  • 37 + 1041787 = 1041824
  • 67 + 1041757 = 1041824
  • 151 + 1041673 = 1041824
  • 181 + 1041643 = 1041824
  • 241 + 1041583 = 1041824
  • 271 + 1041553 = 1041824
  • 307 + 1041517 = 1041824

Showing the first eight; more decompositions exist.

Hex color
#0FE5A0
RGB(15, 229, 160)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.229.160.

Address
0.15.229.160
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.229.160

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

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 4, 1824 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 1824-04-01 (DMMYYYY (Euro, single-digit day))
  • 1824-10-04 (MMDYYYY (US, single-digit day))
  • 1824-04-10 (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 1,041,824 and was likely granted around 1912.

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°.