Live analysis

1,009,601

1,009,601 is a prime, odd.

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.).

1,009,601 (one million nine thousand six hundred one) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF67C1.

Arithmetic Number Cube-Free Deficient Number Emirp Evil Number Flippable Prime Pythagorean Prime Recamán's Sequence Self Number Squarefree

Interestingness

★ ★ ★ ★ ★

9 notable facts · grade A

1,009,589 1,009,590 1,009,591 1,009,592 1,009,593 1,009,594 1,009,595 1,009,596 1,009,597 1,009,598 1,009,599 1,009,600 1,009,601 1,009,602 1,009,603 1,009,604 1,009,605 1,009,606 1,009,607 1,009,608 1,009,609 1,009,610 1,009,611 1,009,612 1,009,613

less more

Properties

Parity: Odd
Digit count: 7
Digit sum: 17
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 20 bits
Reversed: 1,069,001
Flips to (rotate 180°): 1,096,001
Recamán's sequence: a(346,249) = 1,009,601
Square (n²): 1,019,294,179,201
Cube (n³): 1,029,080,422,615,508,801
Divisor count: 2
σ(n) — sum of divisors: 1,009,602
φ(n) — Euler's totient: 1,009,600

Primality

1,009,601 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 1009601

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 1,009,601)

1 × 1009601

First multiples

1,009,601 · 2,019,202 (double) · 3,028,803 · 4,038,404 · 5,048,005 · 6,057,606 · 7,067,207 · 8,076,808 · 9,086,409 · 10,096,010

Sums & aliquot sequence

As a sum of two squares: 575² + 824²

As consecutive integers: 504,800 + 504,801

Continued fraction of √n

√1,009,601 = [1004; (1, 3, 1, 2, 1, 5, 1, 1, 5, 3, 3, 5, 1, 1, 5, 1, 2, 1, 3, 1, 2008)]

Period length 21 — the block in parentheses repeats forever.

Representations

In words: one million nine thousand six hundred one
Ordinal: 1009601st
Binary: 11110110011111000001
Octal: 3663701
Hexadecimal: 0xF67C1
Base64: D2fB
One's complement: 4,293,957,694 (32-bit)
Scientific notation: 1.009601 × 10⁶
As a duration: 1,009,601 s = 11 days, 16 hours, 26 minutes, 41 seconds

In other bases

ternary (3) 1220021220122

quaternary (4) 3312133001

quinary (5) 224301401

senary (6) 33350025

septenary (7) 11403305

nonary (9) 1807818

undecimal (11) 62a58a

duodecimal (12) 408315

tridecimal (13) 2946c8

tetradecimal (14) 1c3d05

pentadecimal (15) 14e21b

As an angle

1,009,601° = 2,804 × 360° + 161°

161° ≈ 2.81 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓏺
Chinese: 一百萬九千六百零一
Chinese (financial): 壹佰萬玖仟陸佰零壹

In other modern scripts

Eastern Arabic ١٠٠٩٦٠١ Devanagari १००९६०१ Bengali ১০০৯৬০১ Tamil ௧௦௦௯௬௦௧ Thai ๑๐๐๙๖๐๑ Tibetan ༡༠༠༩༦༠༡ Khmer ១០០៩៦០១ Lao ໑໐໐໙໖໐໑ Burmese ၁၀၀၉၆၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 1,009,573 (gap of 28)
Next prime: 1,009,609 (gap of 8)

Hex color

#0F67C1

RGB(15, 103, 193)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.103.193.

Address: 0.15.103.193
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.103.193

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 1,009,601 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 US1,009,601 on Google Patents ↗ Look up on USPTO ↗