Live analysis

1,007,968

1,007,968 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.).

1,007,968 (one million seven thousand nine hundred sixty-eight) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 13 × 2,423. Its proper divisors sum to 1,130,000, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF6160.

Abundant Number Arithmetic Number Odious Number Recamán's Sequence Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,007,956 1,007,957 1,007,958 1,007,959 1,007,960 1,007,961 1,007,962 1,007,963 1,007,964 1,007,965 1,007,966 1,007,967 1,007,968 1,007,969 1,007,970 1,007,971 1,007,972 1,007,973 1,007,974 1,007,975 1,007,976 1,007,977 1,007,978 1,007,979 1,007,980

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 31
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 20 bits
Reversed: 8,697,001
Recamán's sequence: a(349,515) = 1,007,968
Square (n²): 1,015,999,489,024
Cube (n³): 1,024,094,972,952,543,232
Divisor count: 24
σ(n) — sum of divisors: 2,137,968
φ(n) — Euler's totient: 465,024
Sum of prime factors: 2,446

Primality

Prime factorization: 2 ⁵ × 13 × 2423

Nearest primes: 1,007,959 (−9) · 1,007,971 (+3)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 8 · 13 · 16 · 26 · 32 · 52 · 104 · 208 · 416 · 2423 · 4846 · 9692 · 19384 · 31499 · 38768 · 62998 · 77536 · 125996 · 251992 · 503984 (half) · 1007968

Aliquot sum (sum of proper divisors): 1,130,000

Factor pairs (a × b = 1,007,968)

1 × 1007968

2 × 503984

4 × 251992

8 × 125996

13 × 77536

16 × 62998

26 × 38768

32 × 31499

52 × 19384

104 × 9692

208 × 4846

416 × 2423

First multiples

1,007,968 · 2,015,936 (double) · 3,023,904 · 4,031,872 · 5,039,840 · 6,047,808 · 7,055,776 · 8,063,744 · 9,071,712 · 10,079,680

Sums & aliquot sequence

As consecutive integers: 77,530 + 77,531 + … + 77,542 15,718 + 15,719 + … + 15,781 796 + 797 + … + 1,627

Aliquot sequence: 1,007,968 → 1,130,000 → 1,630,054 → 867,194 → 501,382 → 374,138 → 187,072 → 199,008 → 367,740 → 790,956 → 1,235,796 → 1,647,756 → 3,325,044 → 4,433,420 → 4,876,804 → 3,676,440 → 7,353,240 — unresolved within range

Continued fraction of √n

√1,007,968 = [1003; (1, 40, 1, 4, 1, 54, 1, 16, 1, 3, 1, 2, 2, 1, 2, 24, 2, 2, 1, 1, 1, 1, 9, 2, …)]

Representations

In words: one million seven thousand nine hundred sixty-eight
Ordinal: 1007968th
Binary: 11110110000101100000
Octal: 3660540
Hexadecimal: 0xF6160
Base64: D2Fg
One's complement: 4,293,959,327 (32-bit)
Scientific notation: 1.007968 × 10⁶
As a duration: 1,007,968 s = 11 days, 15 hours, 59 minutes, 28 seconds

In other bases

ternary (3) 1220012200011

quaternary (4) 3312011200

quinary (5) 224223333

senary (6) 33334304

septenary (7) 11365453

nonary (9) 1805604

undecimal (11) 629335

duodecimal (12) 407394

tridecimal (13) 293a40

tetradecimal (14) 1c349a

pentadecimal (15) 14d9cd

As an angle

1,007,968° = 2,799 × 360° + 328°

328° ≈ 5.725 rad

Compass bearing: NNW (north-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬七千九百六十八
Chinese (financial): 壹佰萬柒仟玖佰陸拾捌

In other modern scripts

Eastern Arabic ١٠٠٧٩٦٨ Devanagari १००७९६८ Bengali ১০০৭৯৬৮ Tamil ௧௦௦௭௯௬௮ Thai ๑๐๐๗๙๖๘ Tibetan ༡༠༠༧༩༦༨ Khmer ១០០៧៩៦៨ Lao ໑໐໐໗໙໖໘ Burmese ၁၀၀၇၉၆၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1007968, here are decompositions:

11 + 1007957 = 1007968
29 + 1007939 = 1007968
47 + 1007921 = 1007968
107 + 1007861 = 1007968
149 + 1007819 = 1007968
167 + 1007801 = 1007968
179 + 1007789 = 1007968
197 + 1007771 = 1007968

Showing the first eight; more decompositions exist.

Hex color

#0F6160

RGB(15, 97, 96)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.97.96.

Address: 0.15.97.96
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.97.96

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 1,007,968 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 US1,007,968 on Google Patents ↗ Look up on USPTO ↗