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1,010,042

1,010,042 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.).

1,010,042 (one million ten thousand forty-two) is an even 7-digit number. It is a composite number with 16 divisors, and factors as 2 × 11 × 31 × 1,481. Written other ways, in hexadecimal, 0xF697A.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
8
Digit product
0
Digital root
8
Palindrome
No
Bit width
20 bits
Reversed
2,400,101
Square (n²)
1,020,184,841,764
Cube (n³)
1,030,429,537,944,994,088
Divisor count
16
σ(n) — sum of divisors
1,707,264
φ(n) — Euler's totient
444,000
Sum of prime factors
1,525

Primality

Prime factorization: 2 × 11 × 31 × 1481

Nearest primes: 1,010,033 (−9) · 1,010,069 (+27)

Divisors & multiples

All divisors (16)
1 · 2 · 11 · 22 · 31 · 62 · 341 · 682 · 1481 · 2962 · 16291 · 32582 · 45911 · 91822 · 505021 (half) · 1010042
Aliquot sum (sum of proper divisors): 697,222
Factor pairs (a × b = 1,010,042)
1 × 1010042
2 × 505021
11 × 91822
22 × 45911
31 × 32582
62 × 16291
341 × 2962
682 × 1481
First multiples
1,010,042 · 2,020,084 (double) · 3,030,126 · 4,040,168 · 5,050,210 · 6,060,252 · 7,070,294 · 8,080,336 · 9,090,378 · 10,100,420

Sums & aliquot sequence

As consecutive integers: 252,509 + 252,510 + 252,511 + 252,512 91,817 + 91,818 + … + 91,827 32,567 + 32,568 + … + 32,597 22,934 + 22,935 + … + 22,977
Aliquot sequence: 1,010,042 697,222 397,718 198,862 99,434 51,766 39,962 28,078 14,762 9,976 9,824 9,580 10,580 12,646 6,326 3,166 1,586 — unresolved within range

Continued fraction of √n

√1,010,042 = [1005; (118, 4, 4, 6, 1, 2, 1, 1, 3, 6, 5, 2, 5, 10, 2, 1, 15, 6, 1, 2, 7, 3, 2, 2, …)]

Representations

In words
one million ten thousand forty-two
Ordinal
1010042nd
Binary
11110110100101111010
Octal
3664572
Hexadecimal
0xF697A
Base64
D2l6
One's complement
4,293,957,253 (32-bit)
Scientific notation
1.010042 × 10⁶
As a duration
1,010,042 s = 11 days, 16 hours, 34 minutes, 2 seconds
In other bases
ternary (3) 1220022111222
quaternary (4) 3312211322
quinary (5) 224310132
senary (6) 33352042
septenary (7) 11404505
nonary (9) 1808458
undecimal (11) 62a950
duodecimal (12) 408622
tridecimal (13) 294977
tetradecimal (14) 1c413c
pentadecimal (15) 14e412

As an angle

1,010,042° = 2,805 × 360° + 242°
242° ≈ 4.224 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓎆𓎆𓎆𓎆𓏺𓏺
Chinese
一百零一萬零四十二
Chinese (financial)
壹佰零壹萬零肆拾貳
In other modern scripts
Eastern Arabic ١٠١٠٠٤٢ Devanagari १०१००४२ Bengali ১০১০০৪২ Tamil ௧௦௧௦௦௪௨ Thai ๑๐๑๐๐๔๒ Tibetan ༡༠༡༠༠༤༢ Khmer ១០១០០៤២ Lao ໑໐໑໐໐໔໒ Burmese ၁၀၁၀၀၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1010042, here are decompositions:

  • 79 + 1009963 = 1010042
  • 199 + 1009843 = 1010042
  • 223 + 1009819 = 1010042
  • 373 + 1009669 = 1010042
  • 421 + 1009621 = 1010042
  • 433 + 1009609 = 1010042
  • 541 + 1009501 = 1010042
  • 643 + 1009399 = 1010042

Showing the first eight; more decompositions exist.

Hex color
#0F697A
RGB(15, 105, 122)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.105.122.

Address
0.15.105.122
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.105.122

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

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 1, 0042 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 0042-10-01 (MMDYYYY (US, single-digit day))
  • 0042-01-10 (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 1,010,042 and was likely granted around 1911.

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°.