Live analysis

1,007,104

1,007,104 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.).

1,007,104 (one million seven thousand one hundred four) is an even 7-digit number. It is a composite number with 40 divisors, and factors as 2⁹ × 7 × 281. Its proper divisors sum to 1,300,784, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5E00.

Abundant Number Frugal Number Gapful Number Odious Number Practical Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,007,092 1,007,093 1,007,094 1,007,095 1,007,096 1,007,097 1,007,098 1,007,099 1,007,100 1,007,101 1,007,102 1,007,103 1,007,104 1,007,105 1,007,106 1,007,107 1,007,108 1,007,109 1,007,110 1,007,111 1,007,112 1,007,113 1,007,114 1,007,115 1,007,116

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 20 bits
Reversed: 4,017,001
Square (n²): 1,014,258,466,816
Cube (n³): 1,021,463,758,964,260,864
Divisor count: 40
σ(n) — sum of divisors: 2,307,888
φ(n) — Euler's totient: 430,080
Sum of prime factors: 306

Primality

Prime factorization: 2 ⁹ × 7 × 281

Nearest primes: 1,007,099 (−5) · 1,007,117 (+13)

Divisors & multiples

All divisors (40)

1 · 2 · 4 · 7 · 8 · 14 · 16 · 28 · 32 · 56 · 64 · 112 · 128 · 224 · 256 · 281 · 448 · 512 · 562 · 896 · 1124 · 1792 · 1967 · 2248 · 3584 · 3934 · 4496 · 7868 · 8992 · 15736 · 17984 · 31472 · 35968 · 62944 · 71936 · 125888 · 143872 · 251776 · 503552 (half) · 1007104

Aliquot sum (sum of proper divisors): 1,300,784

Factor pairs (a × b = 1,007,104)

1 × 1007104

2 × 503552

4 × 251776

7 × 143872

8 × 125888

14 × 71936

16 × 62944

28 × 35968

32 × 31472

56 × 17984

64 × 15736

112 × 8992

128 × 7868

224 × 4496

256 × 3934

281 × 3584

448 × 2248

512 × 1967

562 × 1792

896 × 1124

First multiples

1,007,104 · 2,014,208 (double) · 3,021,312 · 4,028,416 · 5,035,520 · 6,042,624 · 7,049,728 · 8,056,832 · 9,063,936 · 10,071,040

Sums & aliquot sequence

As consecutive integers: 143,869 + 143,870 + … + 143,875 3,444 + 3,445 + … + 3,724 472 + 473 + … + 1,495

Aliquot sequence: 1,007,104 → 1,300,784 → 1,219,516 → 914,644 → 694,124 → 520,600 → 762,800 → 1,070,788 → 921,020 → 1,013,164 → 768,924 → 1,432,548 → 2,468,440 → 3,700,520 → 4,749,400 → 6,293,420 → 8,811,124 — unresolved within range

Continued fraction of √n

√1,007,104 = [1003; (1, 1, 4, 1, 31, 24, 1, 2, 1, 24, 31, 1, 4, 1, 1, 2006)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words: one million seven thousand one hundred four
Ordinal: 1007104th
Binary: 11110101111000000000
Octal: 3657000
Hexadecimal: 0xF5E00
Base64: D14A
One's complement: 4,293,960,191 (32-bit)
Scientific notation: 1.007104 × 10⁶
As a duration: 1,007,104 s = 11 days, 15 hours, 45 minutes, 4 seconds

In other bases

ternary (3) 1220011111011

quaternary (4) 3311320000

quinary (5) 224211404

senary (6) 33330304

septenary (7) 11363110

nonary (9) 1804434

undecimal (11) 62871a

duodecimal (12) 406994

tridecimal (13) 293527

tetradecimal (14) 1c3040

pentadecimal (15) 14d604

As an angle

1,007,104° = 2,797 × 360° + 184°

184° ≈ 3.211 rad

Compass bearing: S (south)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓏺𓏺𓏺𓏺
Chinese: 一百萬七千一百零四
Chinese (financial): 壹佰萬柒仟壹佰零肆

In other modern scripts

Eastern Arabic ١٠٠٧١٠٤ Devanagari १००७१०४ Bengali ১০০৭১০৪ Tamil ௧௦௦௭௧௦௪ Thai ๑๐๐๗๑๐๔ Tibetan ༡༠༠༧༡༠༤ Khmer ១០០៧១០៤ Lao ໑໐໐໗໑໐໔ Burmese ၁၀၀၇၁၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1007104, here are decompositions:

5 + 1007099 = 1007104
23 + 1007081 = 1007104
83 + 1007021 = 1007104
113 + 1006991 = 1007104
167 + 1006937 = 1007104
227 + 1006877 = 1007104
251 + 1006853 = 1007104
257 + 1006847 = 1007104

Showing the first eight; more decompositions exist.

Hex color

#0F5E00

RGB(15, 94, 0)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.94.0.

Address: 0.15.94.0
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.94.0

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 1,007,104 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 US1,007,104 on Google Patents ↗ Look up on USPTO ↗