Live analysis

1,007,000

1,007,000 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.).

1,007,000 (one million seven thousand) is an even 7-digit number. It is a composite number with 64 divisors, and factors as 2³ × 5³ × 19 × 53. Its proper divisors sum to 1,520,200, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5D98.

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

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

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

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 8
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 20 bits
Reversed: 7,001
Square (n²): 1,014,049,000,000
Cube (n³): 1,021,147,343,000,000,000
Divisor count: 64
σ(n) — sum of divisors: 2,527,200
φ(n) — Euler's totient: 374,400
Sum of prime factors: 93

Primality

Prime factorization: 2 ³ × 5 ³ × 19 × 53

Nearest primes: 1,006,991 (−9) · 1,007,021 (+21)

Divisors & multiples

All divisors (64)

1 · 2 · 4 · 5 · 8 · 10 · 19 · 20 · 25 · 38 · 40 · 50 · 53 · 76 · 95 · 100 · 106 · 125 · 152 · 190 · 200 · 212 · 250 · 265 · 380 · 424 · 475 · 500 · 530 · 760 · 950 · 1000 · 1007 · 1060 · 1325 · 1900 · 2014 · 2120 · 2375 · 2650 · 3800 · 4028 · 4750 · 5035 · 5300 · 6625 · 8056 · 9500 · 10070 · 10600 · 13250 · 19000 · 20140 · 25175 · 26500 · 40280 · 50350 · 53000 · 100700 · 125875 · 201400 · 251750 · 503500 (half) · 1007000

Aliquot sum (sum of proper divisors): 1,520,200

Factor pairs (a × b = 1,007,000)

1 × 1007000

2 × 503500

4 × 251750

5 × 201400

8 × 125875

10 × 100700

19 × 53000

20 × 50350

25 × 40280

38 × 26500

40 × 25175

50 × 20140

53 × 19000

76 × 13250

95 × 10600

100 × 10070

106 × 9500

125 × 8056

152 × 6625

190 × 5300

200 × 5035

212 × 4750

250 × 4028

265 × 3800

380 × 2650

424 × 2375

475 × 2120

500 × 2014

530 × 1900

760 × 1325

950 × 1060

1000 × 1007

First multiples

1,007,000 · 2,014,000 (double) · 3,021,000 · 4,028,000 · 5,035,000 · 6,042,000 · 7,049,000 · 8,056,000 · 9,063,000 · 10,070,000

Sums & aliquot sequence

As consecutive integers: 201,398 + 201,399 + 201,400 + 201,401 + 201,402 62,930 + 62,931 + … + 62,945 52,991 + 52,992 + … + 53,009 40,268 + 40,269 + … + 40,292

Aliquot sequence: 1,007,000 → 1,520,200 → 2,341,160 → 2,985,400 → 5,049,800 → 8,371,960 → 10,465,040 → 14,008,840 → 18,883,640 → 25,871,560 → 42,531,320 → 61,796,680 → 96,237,560 → 121,522,840 → 151,903,640 → 242,244,520 → 380,670,680 — unresolved within range

Continued fraction of √n

√1,007,000 = [1003; (2, 40, 2, 5, 1, 1, 1, 1, 5, 1, 2, 5, 1, 2, 1, 79, 1, 1, 5, 1, 3, 1, 2, 1, …)]

Representations

In words: one million seven thousand
Ordinal: 1007000th
Binary: 11110101110110011000
Octal: 3656630
Hexadecimal: 0xF5D98
Base64: D12Y
One's complement: 4,293,960,295 (32-bit)
Scientific notation: 1.007 × 10⁶
As a duration: 1,007,000 s = 11 days, 15 hours, 43 minutes, 20 seconds

In other bases

ternary (3) 1220011100022

quaternary (4) 3311312120

quinary (5) 224211000

senary (6) 33330012

septenary (7) 11362601

nonary (9) 1804308

undecimal (11) 628635

duodecimal (12) 406908

tridecimal (13) 293477

tetradecimal (14) 1c2da8

pentadecimal (15) 14d585

As an angle

1,007,000° = 2,797 × 360° + 80°

80° ≈ 1.396 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼
Chinese: 一百萬七千
Chinese (financial): 壹佰萬柒仟

In other modern scripts

Eastern Arabic ١٠٠٧٠٠٠ Devanagari १००७००० Bengali ১০০৭০০০ Tamil ௧௦௦௭௦௦௦ Thai ๑๐๐๗๐๐๐ Tibetan ༡༠༠༧༠༠༠ Khmer ១០០៧០០០ Lao ໑໐໐໗໐໐໐ Burmese ၁၀၀၇၀၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1007000, here are decompositions:

13 + 1006987 = 1007000
31 + 1006969 = 1007000
67 + 1006933 = 1007000
103 + 1006897 = 1007000
109 + 1006891 = 1007000
139 + 1006861 = 1007000
349 + 1006651 = 1007000
367 + 1006633 = 1007000

Showing the first eight; more decompositions exist.

Hex color

#0F5D98

RGB(15, 93, 152)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.93.152.

Address: 0.15.93.152
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.93.152

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 1,007,000 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 US1,007,000 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 1007000 first appears in π at position 880,423 of the decimal expansion (the 880,423ordinal-suffix:rd 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 1007000 on Pi Search ↗