Live analysis

1,003,601

1,003,601 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.).

1,003,601 (one million three 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, 0xF5051.

Arithmetic Number Chen Prime Cube-Free Deficient Number Emirp Odious Number Prime Pythagorean Prime Squarefree

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

1,003,589 1,003,590 1,003,591 1,003,592 1,003,593 1,003,594 1,003,595 1,003,596 1,003,597 1,003,598 1,003,599 1,003,600 1,003,601 1,003,602 1,003,603 1,003,604 1,003,605 1,003,606 1,003,607 1,003,608 1,003,609 1,003,610 1,003,611 1,003,612 1,003,613

less more

Properties

Parity: Odd
Digit count: 7
Digit sum: 11
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 20 bits
Reversed: 1,063,001
Square (n²): 1,007,214,967,201
Cube (n³): 1,010,841,948,297,890,801
Divisor count: 2
σ(n) — sum of divisors: 1,003,602
φ(n) — Euler's totient: 1,003,600

Primality

1,003,601 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 1003601

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 1,003,601)

1 × 1003601

First multiples

1,003,601 · 2,007,202 (double) · 3,010,803 · 4,014,404 · 5,018,005 · 6,021,606 · 7,025,207 · 8,028,808 · 9,032,409 · 10,036,010

Sums & aliquot sequence

As a sum of two squares: 40² + 1,001²

As consecutive integers: 501,800 + 501,801

Continued fraction of √n

√1,003,601 = [1001; (1, 3, 1, 34, 1, 45, 1, 1, 1, 1, 1, 8, 4, 1, 21, 1, 26, 2, 25, 1, 1, 7, 1, 6, …)]

Representations

In words: one million three thousand six hundred one
Ordinal: 1003601st
Binary: 11110101000001010001
Octal: 3650121
Hexadecimal: 0xF5051
Base64: D1BR
One's complement: 4,293,963,694 (32-bit)
Scientific notation: 1.003601 × 10⁶
As a duration: 1,003,601 s = 11 days, 14 hours, 46 minutes, 41 seconds

In other bases

ternary (3) 1212222200102

quaternary (4) 3311001101

quinary (5) 224103401

senary (6) 33302145

septenary (7) 11346644

nonary (9) 1788612

undecimal (11) 626025

duodecimal (12) 404955

tridecimal (13) 291a61

tetradecimal (14) 1c1a5b

pentadecimal (15) 14c56b

As an angle

1,003,601° = 2,787 × 360° + 281°

281° ≈ 4.904 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓏺
Chinese: 一百萬三千六百零一
Chinese (financial): 壹佰萬參仟陸佰零壹

In other modern scripts

Eastern Arabic ١٠٠٣٦٠١ Devanagari १००३६०१ Bengali ১০০৩৬০১ Tamil ௧௦௦௩௬௦௧ Thai ๑๐๐๓๖๐๑ Tibetan ༡༠༠༣༦༠༡ Khmer ១០០៣៦០១ Lao ໑໐໐໓໖໐໑ Burmese ၁၀၀၃၆၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 1,003,589 (gap of 12)
Next prime: 1,003,609 (gap of 8)

Hex color

#0F5051

RGB(15, 80, 81)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.80.81.

Address: 0.15.80.81
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.80.81

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 1,003,601 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 US1,003,601 on Google Patents ↗ Look up on USPTO ↗