Live analysis

1,005,040

1,005,040 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.).

1,005,040 (one million five thousand forty) is an even 7-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 5 × 17 × 739. Its proper divisors sum to 1,472,480, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF55F0.

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

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,005,028 1,005,029 1,005,030 1,005,031 1,005,032 1,005,033 1,005,034 1,005,035 1,005,036 1,005,037 1,005,038 1,005,039 1,005,040 1,005,041 1,005,042 1,005,043 1,005,044 1,005,045 1,005,046 1,005,047 1,005,048 1,005,049 1,005,050 1,005,051 1,005,052

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 10
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 20 bits
Reversed: 405,001
Square (n²): 1,010,105,401,600
Cube (n³): 1,015,196,332,824,064,000
Divisor count: 40
σ(n) — sum of divisors: 2,477,520
φ(n) — Euler's totient: 377,856
Sum of prime factors: 769

Primality

Prime factorization: 2 ⁴ × 5 × 17 × 739

Nearest primes: 1,005,029 (−11) · 1,005,041 (+1)

Divisors & multiples

All divisors (40)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 17 · 20 · 34 · 40 · 68 · 80 · 85 · 136 · 170 · 272 · 340 · 680 · 739 · 1360 · 1478 · 2956 · 3695 · 5912 · 7390 · 11824 · 12563 · 14780 · 25126 · 29560 · 50252 · 59120 · 62815 · 100504 · 125630 · 201008 · 251260 · 502520 (half) · 1005040

Aliquot sum (sum of proper divisors): 1,472,480

Factor pairs (a × b = 1,005,040)

1 × 1005040

2 × 502520

4 × 251260

5 × 201008

8 × 125630

10 × 100504

16 × 62815

17 × 59120

20 × 50252

34 × 29560

40 × 25126

68 × 14780

80 × 12563

85 × 11824

136 × 7390

170 × 5912

272 × 3695

340 × 2956

680 × 1478

739 × 1360

First multiples

1,005,040 · 2,010,080 (double) · 3,015,120 · 4,020,160 · 5,025,200 · 6,030,240 · 7,035,280 · 8,040,320 · 9,045,360 · 10,050,400

Sums & aliquot sequence

As consecutive integers: 201,006 + 201,007 + 201,008 + 201,009 + 201,010 59,112 + 59,113 + … + 59,128 31,392 + 31,393 + … + 31,423 11,782 + 11,783 + … + 11,866

Aliquot sequence: 1,005,040 → 1,472,480 → 2,006,632 → 1,755,818 → 877,912 → 1,041,608 → 911,422 → 455,714 → 344,734 → 212,186 → 130,618 → 65,312 → 74,044 → 57,500 → 73,708 → 55,288 → 48,392 — unresolved within range

Continued fraction of √n

√1,005,040 = [1002; (1, 1, 14, 2, 1, 5, 3, 2, 2, 3, 2, 1, 1, 1, 3, 4, 3, 1, 2, 4, 2, 5, 2, 4, …)]

Period length 44 — the block in parentheses repeats forever.

Representations

In words: one million five thousand forty
Ordinal: 1005040th
Binary: 11110101010111110000
Octal: 3652760
Hexadecimal: 0xF55F0
Base64: D1Xw
One's complement: 4,293,962,255 (32-bit)
Scientific notation: 1.00504 × 10⁶
As a duration: 1,005,040 s = 11 days, 15 hours, 10 minutes, 40 seconds

In other bases

ternary (3) 1220001122201

quaternary (4) 3311113300

quinary (5) 224130130

senary (6) 33312544

septenary (7) 11354101

nonary (9) 1801581

undecimal (11) 627113

duodecimal (12) 405754

tridecimal (13) 2925ca

tetradecimal (14) 1c23a8

pentadecimal (15) 14cbca

As an angle

1,005,040° = 2,791 × 360° + 280°

280° ≈ 4.887 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆
Chinese: 一百萬五千零四十
Chinese (financial): 壹佰萬伍仟零肆拾

In other modern scripts

Eastern Arabic ١٠٠٥٠٤٠ Devanagari १००५०४० Bengali ১০০৫০৪০ Tamil ௧௦௦௫௦௪௦ Thai ๑๐๐๕๐๔๐ Tibetan ༡༠༠༥༠༤༠ Khmer ១០០៥០៤០ Lao ໑໐໐໕໐໔໐ Burmese ၁၀၀၅၀၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1005040, here are decompositions:

11 + 1005029 = 1005040
53 + 1004987 = 1005040
59 + 1004981 = 1005040
137 + 1004903 = 1005040
167 + 1004873 = 1005040
293 + 1004747 = 1005040
317 + 1004723 = 1005040
353 + 1004687 = 1005040

Showing the first eight; more decompositions exist.

Hex color

#0F55F0

RGB(15, 85, 240)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.85.240.

Address: 0.15.85.240
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.85.240

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

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 1,005,040 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 US1,005,040 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 1005040 first appears in π at position 772,436 of the decimal expansion (the 772,436ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Look up 1005040 on Pi Search ↗