Live analysis

1,013,038

1,013,038 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.).

1,013,038 (one million thirteen thousand thirty-eight) is an even 7-digit number. It is a composite number with 16 divisors, and factors as 2 × 13 × 47 × 829. Written other ways, in hexadecimal, 0xF752E.

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

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,013,026 1,013,027 1,013,028 1,013,029 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

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 16
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 20 bits
Reversed: 8,303,101
Square (n²): 1,026,245,989,444
Cube (n³): 1,039,626,184,654,370,872
Divisor count: 16
σ(n) — sum of divisors: 1,673,280
φ(n) — Euler's totient: 457,056
Sum of prime factors: 891

Primality

Prime factorization: 2 × 13 × 47 × 829

Nearest primes: 1,013,029 (−9) · 1,013,041 (+3)

Divisors & multiples

All divisors (16)

1 · 2 · 13 · 26 · 47 · 94 · 611 · 829 · 1222 · 1658 · 10777 · 21554 · 38963 · 77926 · 506519 (half) · 1013038

Aliquot sum (sum of proper divisors): 660,242

Factor pairs (a × b = 1,013,038)

1 × 1013038

2 × 506519

13 × 77926

26 × 38963

47 × 21554

94 × 10777

611 × 1658

829 × 1222

First multiples

1,013,038 · 2,026,076 (double) · 3,039,114 · 4,052,152 · 5,065,190 · 6,078,228 · 7,091,266 · 8,104,304 · 9,117,342 · 10,130,380

Sums & aliquot sequence

As consecutive integers: 253,258 + 253,259 + 253,260 + 253,261 77,920 + 77,921 + … + 77,932 21,531 + 21,532 + … + 21,577 19,456 + 19,457 + … + 19,507

Aliquot sequence: 1,013,038 → 660,242 → 420,190 → 336,170 → 268,954 → 192,134 → 113,074 → 69,626 → 38,278 → 19,142 → 11,314 → 5,660 → 6,268 → 4,708 → 4,364 → 3,280 → 4,532 — unresolved within range

Continued fraction of √n

√1,013,038 = [1006; (2, 117, 1, 10, 3, 6, 1, 1, 1, 3, 1, 4, 2, 1, 28, 2, 16, 1, 2, 2, 32, 24, 1, 4, …)]

Representations

In words: one million thirteen thousand thirty-eight
Ordinal: 1013038th
Binary: 11110111010100101110
Octal: 3672456
Hexadecimal: 0xF752E
Base64: D3Uu
One's complement: 4,293,954,257 (32-bit)
Scientific notation: 1.013038 × 10⁶
As a duration: 1,013,038 s = 11 days, 17 hours, 23 minutes, 58 seconds

In other bases

ternary (3) 1220110121221

quaternary (4) 3313110232

quinary (5) 224404123

senary (6) 33413554

septenary (7) 11416315

nonary (9) 1813557

undecimal (11) 632124

duodecimal (12) 40a2ba

tridecimal (13) 296140

tetradecimal (14) 1c527c

pentadecimal (15) 15025d

As an angle

1,013,038° = 2,813 × 360° + 358°

358° ≈ 6.248 rad

Compass bearing: N (north)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百零一萬三千零三十八
Chinese (financial): 壹佰零壹萬參仟零參拾捌

In other modern scripts

Eastern Arabic ١٠١٣٠٣٨ Devanagari १०१३०३८ Bengali ১০১৩০৩৮ Tamil ௧௦௧௩௦௩௮ Thai ๑๐๑๓๐๓๘ Tibetan ༡༠༡༣༠༣༨ Khmer ១០១៣០៣៨ Lao ໑໐໑໓໐໓໘ Burmese ၁၀၁၃၀၃၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013038, here are decompositions:

29 + 1013009 = 1013038
41 + 1012997 = 1013038
71 + 1012967 = 1013038
107 + 1012931 = 1013038
227 + 1012811 = 1013038
269 + 1012769 = 1013038
317 + 1012721 = 1013038
347 + 1012691 = 1013038

Showing the first eight; more decompositions exist.

Hex color

#0F752E

RGB(15, 117, 46)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.117.46.

Address: 0.15.117.46
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.117.46

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 1, 3038 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3038-10-01 (MMDYYYY (US, single-digit day))
3038-01-10 (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 1,013,038 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 US1,013,038 on Google Patents ↗ Look up on USPTO ↗