Live analysis

1,017,040

1,017,040 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.).

1,017,040 (one million seventeen thousand forty) is an even 7-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 5 × 12,713. Its proper divisors sum to 1,347,764, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF84D0.

Abundant Number Gapful Number Odious Number Recamán's Sequence Refactorable Number Self Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,017,028 1,017,029 1,017,030 1,017,031 1,017,032 1,017,033 1,017,034 1,017,035 1,017,036 1,017,037 1,017,038 1,017,039 1,017,040 1,017,041 1,017,042 1,017,043 1,017,044 1,017,045 1,017,046 1,017,047 1,017,048 1,017,049 1,017,050 1,017,051 1,017,052

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 20 bits
Reversed: 407,101
Recamán's sequence: a(367,235) = 1,017,040
Square (n²): 1,034,370,361,600
Cube (n³): 1,051,996,032,561,664,000
Divisor count: 20
σ(n) — sum of divisors: 2,364,804
φ(n) — Euler's totient: 406,784
Sum of prime factors: 12,726

Primality

Prime factorization: 2 ⁴ × 5 × 12713

Nearest primes: 1,017,031 (−9) · 1,017,041 (+1)

Divisors & multiples

All divisors (20)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 40 · 80 · 12713 · 25426 · 50852 · 63565 · 101704 · 127130 · 203408 · 254260 · 508520 (half) · 1017040

Aliquot sum (sum of proper divisors): 1,347,764

Factor pairs (a × b = 1,017,040)

1 × 1017040

2 × 508520

4 × 254260

5 × 203408

8 × 127130

10 × 101704

16 × 63565

20 × 50852

40 × 25426

80 × 12713

First multiples

1,017,040 · 2,034,080 (double) · 3,051,120 · 4,068,160 · 5,085,200 · 6,102,240 · 7,119,280 · 8,136,320 · 9,153,360 · 10,170,400

Sums & aliquot sequence

As a sum of two squares: 344² + 948² = 552² + 844²

As consecutive integers: 203,406 + 203,407 + 203,408 + 203,409 + 203,410 31,767 + 31,768 + … + 31,798 6,277 + 6,278 + … + 6,436

Aliquot sequence: 1,017,040 → 1,347,764 → 1,225,324 → 919,000 → 1,233,800 → 1,742,200 → 2,453,960 → 3,248,440 → 4,624,040 → 5,780,140 → 6,975,092 → 5,561,488 → 5,275,740 → 10,142,628 → 13,523,532 → 20,900,340 → 42,497,904 — unresolved within range

Continued fraction of √n

√1,017,040 = [1008; (2, 15, 7, 2, 1, 1, 1, 4, 3, 3, 1, 1, 133, 1, 8, 1, 8, 2, 12, 1, 7, 1, 1, 1, …)]

Representations

In words: one million seventeen thousand forty
Ordinal: 1017040th
Binary: 11111000010011010000
Octal: 3702320
Hexadecimal: 0xF84D0
Base64: D4TQ
One's complement: 4,293,950,255 (32-bit)
Scientific notation: 1.01704 × 10⁶
As a duration: 1,017,040 s = 11 days, 18 hours, 30 minutes, 40 seconds

In other bases

ternary (3) 1220200010011

quaternary (4) 3320103100

quinary (5) 230021130

senary (6) 33444304

septenary (7) 11434063

nonary (9) 1820104

undecimal (11) 635132

duodecimal (12) 410694

tridecimal (13) 297bcb

tetradecimal (14) 1c68da

pentadecimal (15) 15152a

As an angle

1,017,040° = 2,825 × 360° + 40°

40° ≈ 0.698 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆
Chinese: 一百零一萬七千零四十
Chinese (financial): 壹佰零壹萬柒仟零肆拾

In other modern scripts

Eastern Arabic ١٠١٧٠٤٠ Devanagari १०१७०४० Bengali ১০১৭০৪০ Tamil ௧௦௧௭௦௪௦ Thai ๑๐๑๗๐๔๐ Tibetan ༡༠༡༧༠༤༠ Khmer ១០១៧០៤០ Lao ໑໐໑໗໐໔໐ Burmese ၁၀၁၇၀၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1017040, here are decompositions:

29 + 1017011 = 1017040
113 + 1016927 = 1017040
131 + 1016909 = 1017040
149 + 1016891 = 1017040
191 + 1016849 = 1017040
197 + 1016843 = 1017040
251 + 1016789 = 1017040
257 + 1016783 = 1017040

Showing the first eight; more decompositions exist.

Hex color

#0F84D0

RGB(15, 132, 208)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.132.208.

Address: 0.15.132.208
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.132.208

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

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 1, 7040 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

7040-10-01 (MMDYYYY (US, single-digit day))
7040-01-10 (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 1,017,040 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 US1,017,040 on Google Patents ↗ Look up on USPTO ↗