Live analysis

1,005,972

1,005,972 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.).

1,005,972 (one million five thousand nine hundred seventy-two) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 11 × 7,621. Its proper divisors sum to 1,555,020, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5994.

Abundant Number Arithmetic Number Cube-Free Gapful Number Odious Number Pernicious Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,005,960 1,005,961 1,005,962 1,005,963 1,005,964 1,005,965 1,005,966 1,005,967 1,005,968 1,005,969 1,005,970 1,005,971 1,005,972 1,005,973 1,005,974 1,005,975 1,005,976 1,005,977 1,005,978 1,005,979 1,005,980 1,005,981 1,005,982 1,005,983 1,005,984

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 24
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 2,795,001
Square (n²): 1,011,979,664,784
Cube (n³): 1,018,023,207,342,090,048
Divisor count: 24
σ(n) — sum of divisors: 2,560,992
φ(n) — Euler's totient: 304,800
Sum of prime factors: 7,639

Primality

Prime factorization: 2 ² × 3 × 11 × 7621

Nearest primes: 1,005,971 (−1) · 1,005,989 (+17)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 6 · 11 · 12 · 22 · 33 · 44 · 66 · 132 · 7621 · 15242 · 22863 · 30484 · 45726 · 83831 · 91452 · 167662 · 251493 · 335324 · 502986 (half) · 1005972

Aliquot sum (sum of proper divisors): 1,555,020

Factor pairs (a × b = 1,005,972)

1 × 1005972

2 × 502986

3 × 335324

4 × 251493

6 × 167662

11 × 91452

12 × 83831

22 × 45726

33 × 30484

44 × 22863

66 × 15242

132 × 7621

First multiples

1,005,972 · 2,011,944 (double) · 3,017,916 · 4,023,888 · 5,029,860 · 6,035,832 · 7,041,804 · 8,047,776 · 9,053,748 · 10,059,720

Sums & aliquot sequence

As consecutive integers: 335,323 + 335,324 + 335,325 125,743 + 125,744 + … + 125,750 91,447 + 91,448 + … + 91,457 41,904 + 41,905 + … + 41,927

Aliquot sequence: 1,005,972 → 1,555,020 → 3,280,356 → 5,011,746 → 5,473,134 → 6,385,362 → 6,465,678 → 7,226,562 → 9,524,670 → 13,334,610 → 18,668,526 → 21,127,314 → 24,555,246 → 24,676,962 → 27,580,350 → 50,593,218 → 58,376,958 — unresolved within range

Continued fraction of √n

√1,005,972 = [1002; (1, 53, 4, 1, 1, 1, 2, 1, 11, 1, 1, 41, 3, 1, 2, 3, 3, 1, 3, 1, 2, 1, 1, 2, …)]

Representations

In words: one million five thousand nine hundred seventy-two
Ordinal: 1005972nd
Binary: 11110101100110010100
Octal: 3654624
Hexadecimal: 0xF5994
Base64: D1mU
One's complement: 4,293,961,323 (32-bit)
Scientific notation: 1.005972 × 10⁶
As a duration: 1,005,972 s = 11 days, 15 hours, 26 minutes, 12 seconds

In other bases

ternary (3) 1220002221020

quaternary (4) 3311212110

quinary (5) 224142342

senary (6) 33321140

septenary (7) 11356602

nonary (9) 1802836

undecimal (11) 627890

duodecimal (12) 4061b0

tridecimal (13) 292b66

tetradecimal (14) 1c2872

pentadecimal (15) 14d0ec

As an angle

1,005,972° = 2,794 × 360° + 132°

132° ≈ 2.304 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Chinese: 一百萬五千九百七十二
Chinese (financial): 壹佰萬伍仟玖佰柒拾貳

In other modern scripts

Eastern Arabic ١٠٠٥٩٧٢ Devanagari १००५९७२ Bengali ১০০৫৯৭২ Tamil ௧௦௦௫௯௭௨ Thai ๑๐๐๕๙๗๒ Tibetan ༡༠༠༥༩༧༢ Khmer ១០០៥៩៧២ Lao ໑໐໐໕໙໗໒ Burmese ၁၀၀၅၉၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1005972, here are decompositions:

13 + 1005959 = 1005972
41 + 1005931 = 1005972
59 + 1005913 = 1005972
61 + 1005911 = 1005972
89 + 1005883 = 1005972
139 + 1005833 = 1005972
151 + 1005821 = 1005972
211 + 1005761 = 1005972

Showing the first eight; more decompositions exist.

Hex color

#0F5994

RGB(15, 89, 148)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.89.148.

Address: 0.15.89.148
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.89.148

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 1,005,972 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 US1,005,972 on Google Patents ↗ Look up on USPTO ↗