Live analysis

1,015,104

1,015,104 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.).

1,015,104 (one million fifteen thousand one hundred four) is an even 7-digit number. It is a composite number with 56 divisors, and factors as 2⁶ × 3 × 17 × 311. Its proper divisors sum to 1,837,824, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF7D40.

Abundant Number Happy Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Self Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,015,092 1,015,093 1,015,094 1,015,095 1,015,096 1,015,097 1,015,098 1,015,099 1,015,100 1,015,101 1,015,102 1,015,103 1,015,104 1,015,105 1,015,106 1,015,107 1,015,108 1,015,109 1,015,110 1,015,111 1,015,112 1,015,113 1,015,114 1,015,115 1,015,116

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 4,015,101
Recamán's sequence: a(364,659) = 1,015,104
Square (n²): 1,030,436,130,816
Cube (n³): 1,045,999,838,135,844,864
Divisor count: 56
σ(n) — sum of divisors: 2,852,928
φ(n) — Euler's totient: 317,440
Sum of prime factors: 343

Primality

Prime factorization: 2 ⁶ × 3 × 17 × 311

Nearest primes: 1,015,097 (−7) · 1,015,123 (+19)

Divisors & multiples

All divisors (56)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 17 · 24 · 32 · 34 · 48 · 51 · 64 · 68 · 96 · 102 · 136 · 192 · 204 · 272 · 311 · 408 · 544 · 622 · 816 · 933 · 1088 · 1244 · 1632 · 1866 · 2488 · 3264 · 3732 · 4976 · 5287 · 7464 · 9952 · 10574 · 14928 · 15861 · 19904 · 21148 · 29856 · 31722 · 42296 · 59712 · 63444 · 84592 · 126888 · 169184 · 253776 · 338368 · 507552 (half) · 1015104

Aliquot sum (sum of proper divisors): 1,837,824

Factor pairs (a × b = 1,015,104)

1 × 1015104

2 × 507552

3 × 338368

4 × 253776

6 × 169184

8 × 126888

12 × 84592

16 × 63444

17 × 59712

24 × 42296

32 × 31722

34 × 29856

48 × 21148

51 × 19904

64 × 15861

68 × 14928

96 × 10574

102 × 9952

136 × 7464

192 × 5287

204 × 4976

272 × 3732

311 × 3264

408 × 2488

544 × 1866

622 × 1632

816 × 1244

933 × 1088

First multiples

1,015,104 · 2,030,208 (double) · 3,045,312 · 4,060,416 · 5,075,520 · 6,090,624 · 7,105,728 · 8,120,832 · 9,135,936 · 10,151,040

Sums & aliquot sequence

As consecutive integers: 338,367 + 338,368 + 338,369 59,704 + 59,705 + … + 59,720 19,879 + 19,880 + … + 19,929 7,867 + 7,868 + … + 7,994

Aliquot sequence: 1,015,104 → 1,837,824 → 3,055,512 → 5,033,688 → 9,308,712 → 17,717,208 → 26,575,872 → 46,330,080 → 100,563,744 → 163,416,336 → 258,742,656 → 485,819,604 → 749,101,356 → 1,146,992,844 → 1,530,069,796 → 1,147,552,354 → 706,777,046 — unresolved within range

Continued fraction of √n

√1,015,104 = [1007; (1, 1, 10, 20, 18, 9, 1, 1, 1, 2, 1, 1, 3, 7, 1, 1, 2, 4, 1, 1, 7, 2, 1, 5, …)]

Representations

In words: one million fifteen thousand one hundred four
Ordinal: 1015104th
Binary: 11110111110101000000
Octal: 3676500
Hexadecimal: 0xF7D40
Base64: D31A
One's complement: 4,293,952,191 (32-bit)
Scientific notation: 1.015104 × 10⁶
As a duration: 1,015,104 s = 11 days, 17 hours, 58 minutes, 24 seconds

In other bases

ternary (3) 1220120110110

quaternary (4) 3313311000

quinary (5) 224440404

senary (6) 33431320

septenary (7) 11425326

nonary (9) 1816413

undecimal (11) 633732

duodecimal (12) 40b540

tridecimal (13) 29706c

tetradecimal (14) 1c5d16

pentadecimal (15) 150b89

As an angle

1,015,104° = 2,819 × 360° + 264°

264° ≈ 4.608 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓏺𓏺𓏺𓏺
Chinese: 一百零一萬五千一百零四
Chinese (financial): 壹佰零壹萬伍仟壹佰零肆

In other modern scripts

Eastern Arabic ١٠١٥١٠٤ Devanagari १०१५१०४ Bengali ১০১৫১০৪ Tamil ௧௦௧௫௧௦௪ Thai ๑๐๑๕๑๐๔ Tibetan ༡༠༡༥༡༠༤ Khmer ១០១៥១០៤ Lao ໑໐໑໕໑໐໔ Burmese ၁၀၁၅၁၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1015104, here are decompositions:

7 + 1015097 = 1015104
11 + 1015093 = 1015104
23 + 1015081 = 1015104
31 + 1015073 = 1015104
37 + 1015067 = 1015104
43 + 1015061 = 1015104
47 + 1015057 = 1015104
53 + 1015051 = 1015104

Showing the first eight; more decompositions exist.

Hex color

#0F7D40

RGB(15, 125, 64)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.125.64.

Address: 0.15.125.64
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.125.64

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

Possible date

Could be parsed as a date. Most likely interpretation: Friday, January 1, 5104 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

5104-10-01 (MMDYYYY (US, single-digit day))
5104-01-10 (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 1,015,104 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 US1,015,104 on Google Patents ↗ Look up on USPTO ↗