Live analysis

1,013,000

1,013,000 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.).

1,013,000 (one million thirteen thousand) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2³ × 5³ × 1,013. Its proper divisors sum to 1,359,760, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF7508.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,012,988 1,012,989 1,012,990 1,012,991 1,012,992 1,012,993 1,012,994 1,012,995 1,012,996 1,012,997 1,012,998 1,012,999 1,013,000 1,013,001 1,013,002 1,013,003 1,013,004 1,013,005 1,013,006 1,013,007 1,013,008 1,013,009 1,013,010 1,013,011 1,013,012

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 5
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 20 bits
Reversed: 3,101
Square (n²): 1,026,169,000,000
Cube (n³): 1,039,509,197,000,000,000
Divisor count: 32
σ(n) — sum of divisors: 2,372,760
φ(n) — Euler's totient: 404,800
Sum of prime factors: 1,034

Primality

Prime factorization: 2 ³ × 5 ³ × 1013

Nearest primes: 1,012,997 (−3) · 1,013,003 (+3)

Divisors & multiples

All divisors (32)

1 · 2 · 4 · 5 · 8 · 10 · 20 · 25 · 40 · 50 · 100 · 125 · 200 · 250 · 500 · 1000 · 1013 · 2026 · 4052 · 5065 · 8104 · 10130 · 20260 · 25325 · 40520 · 50650 · 101300 · 126625 · 202600 · 253250 · 506500 (half) · 1013000

Aliquot sum (sum of proper divisors): 1,359,760

Factor pairs (a × b = 1,013,000)

1 × 1013000

2 × 506500

4 × 253250

5 × 202600

8 × 126625

10 × 101300

20 × 50650

25 × 40520

40 × 25325

50 × 20260

100 × 10130

125 × 8104

200 × 5065

250 × 4052

500 × 2026

1000 × 1013

First multiples

1,013,000 · 2,026,000 (double) · 3,039,000 · 4,052,000 · 5,065,000 · 6,078,000 · 7,091,000 · 8,104,000 · 9,117,000 · 10,130,000

Sums & aliquot sequence

As a sum of two squares: 158² + 994² = 202² + 986² = 430² + 910² = 470² + 890²

As consecutive integers: 202,598 + 202,599 + 202,600 + 202,601 + 202,602 63,305 + 63,306 + … + 63,320 40,508 + 40,509 + … + 40,532 12,623 + 12,624 + … + 12,702

Aliquot sequence: 1,013,000 → 1,359,760 → 1,943,600 → 2,876,776 → 3,424,664 → 2,996,596 → 2,247,454 → 1,573,370 → 1,325,350 → 1,330,730 → 1,064,602 → 999,782 → 714,154 → 553,046 → 354,154 → 200,246 → 105,394 — unresolved within range

Continued fraction of √n

√1,013,000 = [1006; (2, 11, 2, 2, 3, 5, 16, 1, 2, 1, 1, 1, 14, 6, 19, 1, 27, 2, 2, 35, 1, 1, 5, 6, …)]

Representations

In words: one million thirteen thousand
Ordinal: 1013000th
Binary: 11110111010100001000
Octal: 3672410
Hexadecimal: 0xF7508
Base64: D3UI
One's complement: 4,293,954,295 (32-bit)
Scientific notation: 1.013 × 10⁶
As a duration: 1,013,000 s = 11 days, 17 hours, 23 minutes, 20 seconds

In other bases

ternary (3) 1220110120112

quaternary (4) 3313110020

quinary (5) 224404000

senary (6) 33413452

septenary (7) 11416232

nonary (9) 1813515

undecimal (11) 63209a

duodecimal (12) 40a288

tridecimal (13) 296111

tetradecimal (14) 1c5252

pentadecimal (15) 150235

As an angle

1,013,000° = 2,813 × 360° + 320°

320° ≈ 5.585 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼
Chinese: 一百零一萬三千
Chinese (financial): 壹佰零壹萬參仟

In other modern scripts

Eastern Arabic ١٠١٣٠٠٠ Devanagari १०१३००० Bengali ১০১৩০০০ Tamil ௧௦௧௩௦௦௦ Thai ๑๐๑๓๐๐๐ Tibetan ༡༠༡༣༠༠༠ Khmer ១០១៣០០០ Lao ໑໐໑໓໐໐໐ Burmese ၁၀၁၃၀၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013000, here are decompositions:

3 + 1012997 = 1013000
7 + 1012993 = 1013000
19 + 1012981 = 1013000
97 + 1012903 = 1013000
139 + 1012861 = 1013000
211 + 1012789 = 1013000
229 + 1012771 = 1013000
283 + 1012717 = 1013000

Showing the first eight; more decompositions exist.

Hex color

#0F7508

RGB(15, 117, 8)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.117.8.

Address: 0.15.117.8
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.117.8

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

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 1, 3000 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3000-10-01 (MMDYYYY (US, single-digit day))
3000-01-10 (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 1,013,000 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 US1,013,000 on Google Patents ↗ Look up on USPTO ↗