Live analysis

1,013,042

1,013,042 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.).

1,013,042 (one million thirteen thousand forty-two) is an even 7-digit number. It is a composite number with 16 divisors, and factors as 2 × 19 × 53 × 503. Written other ways, in hexadecimal, 0xF7532.

Arithmetic Number Cube-Free Deficient Number Evil Number Happy Number Pronic / Oblong Squarefree

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,013,030 1,013,031 1,013,032 1,013,033 1,013,034 1,013,035 1,013,036 1,013,037 1,013,038 1,013,039 1,013,040 1,013,041 1,013,042 1,013,043 1,013,044 1,013,045 1,013,046 1,013,047 1,013,048 1,013,049 1,013,050 1,013,051 1,013,052 1,013,053 1,013,054

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 11
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 20 bits
Reversed: 2,403,101
Square (n²): 1,026,254,093,764
Cube (n³): 1,039,638,499,654,870,088
Divisor count: 16
σ(n) — sum of divisors: 1,632,960
φ(n) — Euler's totient: 469,872
Sum of prime factors: 577

Primality

Prime factorization: 2 × 19 × 53 × 503

Nearest primes: 1,013,041 (−1) · 1,013,053 (+11)

Divisors & multiples

All divisors (16)

1 · 2 · 19 · 38 · 53 · 106 · 503 · 1006 · 1007 · 2014 · 9557 · 19114 · 26659 · 53318 · 506521 (half) · 1013042

Aliquot sum (sum of proper divisors): 619,918

Factor pairs (a × b = 1,013,042)

1 × 1013042

2 × 506521

19 × 53318

38 × 26659

53 × 19114

106 × 9557

503 × 2014

1006 × 1007

First multiples

1,013,042 · 2,026,084 (double) · 3,039,126 · 4,052,168 · 5,065,210 · 6,078,252 · 7,091,294 · 8,104,336 · 9,117,378 · 10,130,420

Sums & aliquot sequence

As consecutive integers: 253,259 + 253,260 + 253,261 + 253,262 53,309 + 53,310 + … + 53,327 19,088 + 19,089 + … + 19,140 13,292 + 13,293 + … + 13,367

Aliquot sequence: 1,013,042 → 619,918 → 395,138 → 197,572 → 148,186 → 74,096 → 82,888 → 84,692 → 68,524 → 54,900 → 120,002 → 66,298 → 33,152 → 44,368 → 44,912 → 54,784 → 55,700 — unresolved within range

Continued fraction of √n

√1,013,042 = [1006; (2, 2012)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: one million thirteen thousand forty-two
Ordinal: 1013042nd
Binary: 11110111010100110010
Octal: 3672462
Hexadecimal: 0xF7532
Base64: D3Uy
One's complement: 4,293,954,253 (32-bit)
Scientific notation: 1.013042 × 10⁶
As a duration: 1,013,042 s = 11 days, 17 hours, 24 minutes, 2 seconds

In other bases

ternary (3) 1220110122002

quaternary (4) 3313110302

quinary (5) 224404132

senary (6) 33414002

septenary (7) 11416322

nonary (9) 1813562

undecimal (11) 632128

duodecimal (12) 40a302

tridecimal (13) 296144

tetradecimal (14) 1c5282

pentadecimal (15) 150262

As an angle

1,013,042° = 2,814 × 360° + 2°

2° ≈ 0.035 rad

Compass bearing: N (north)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓏺𓏺
Chinese: 一百零一萬三千零四十二
Chinese (financial): 壹佰零壹萬參仟零肆拾貳

In other modern scripts

Eastern Arabic ١٠١٣٠٤٢ Devanagari १०१३०४२ Bengali ১০১৩০৪২ Tamil ௧௦௧௩௦௪௨ Thai ๑๐๑๓๐๔๒ Tibetan ༡༠༡༣༠༤༢ Khmer ១០១៣០៤២ Lao ໑໐໑໓໐໔໒ Burmese ၁၀၁၃၀၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013042, here are decompositions:

13 + 1013029 = 1013042
61 + 1012981 = 1013042
139 + 1012903 = 1013042
181 + 1012861 = 1013042
211 + 1012831 = 1013042
271 + 1012771 = 1013042
379 + 1012663 = 1013042
409 + 1012633 = 1013042

Showing the first eight; more decompositions exist.

Hex color

#0F7532

RGB(15, 117, 50)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.117.50.

Address: 0.15.117.50
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.117.50

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 1, 3042 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3042-10-01 (MMDYYYY (US, single-digit day))
3042-01-10 (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 1,013,042 and was likely granted around 1911.

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

Look up US1,013,042 on Google Patents ↗ Look up on USPTO ↗