Live analysis

501,601

501,601 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.).

501,601 (five hundred one thousand six hundred one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x7A761.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Squarefree

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

501,589 501,590 501,591 501,592 501,593 501,594 501,595 501,596 501,597 501,598 501,599 501,600 501,601 501,602 501,603 501,604 501,605 501,606 501,607 501,608 501,609 501,610 501,611 501,612 501,613

less more

Properties

Parity: Odd
Digit count: 6
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 19 bits
Reversed: 106,105
Square (n²): 251,603,563,201
Cube (n³): 126,204,598,905,184,801
Divisor count: 2
σ(n) — sum of divisors: 501,602
φ(n) — Euler's totient: 501,600

Primality

501,601 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 501601

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 501,601)

1 × 501601

First multiples

501,601 · 1,003,202 (double) · 1,504,803 · 2,006,404 · 2,508,005 · 3,009,606 · 3,511,207 · 4,012,808 · 4,514,409 · 5,016,010

Sums & aliquot sequence

As a sum of two squares: 335² + 624²

As consecutive integers: 250,800 + 250,801

Continued fraction of √n

√501,601 = [708; (4, 4, 1, 15, 3, 2, 18, 2, 5, 4, 29, 1, 8, 1, 6, 1, 2, 12, 1, 8, 10, 3, 3, 2, …)]

Representations

In words: five hundred one thousand six hundred one
Ordinal: 501601st
Binary: 1111010011101100001
Octal: 1723541
Hexadecimal: 0x7A761
Base64: B6dh
One's complement: 4,294,465,694 (32-bit)
Scientific notation: 5.01601 × 10⁵
As a duration: 501,601 s = 5 days, 19 hours, 20 minutes, 1 second

In other bases

ternary (3) 221111001211

quaternary (4) 1322131201

quinary (5) 112022401

senary (6) 14430121

septenary (7) 4156252

nonary (9) 844054

undecimal (11) 312951

duodecimal (12) 202341

tridecimal (13) 147409

tetradecimal (14) d0b29

pentadecimal (15) 9d951

As an angle

501,601° = 1,393 × 360° + 121°

121° ≈ 2.112 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋 𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓏺
Greek (Milesian): ͵φαχαʹ
Chinese: 五十萬一千六百零一
Chinese (financial): 伍拾萬壹仟陸佰零壹

In other modern scripts

Eastern Arabic ٥٠١٦٠١ Devanagari ५०१६०१ Bengali ৫০১৬০১ Tamil ௫௦௧௬௦௧ Thai ๕๐๑๖๐๑ Tibetan ༥༠༡༦༠༡ Khmer ៥០១៦០១ Lao ໕໐໑໖໐໑ Burmese ၅၀၁၆၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 501,593 (gap of 8)
Next prime: 501,617 (gap of 16)

Hex color

#07A761

RGB(7, 167, 97)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.167.97.

Address: 0.7.167.97
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.167.97

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 501,601 and was likely granted around 1893.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US501,601 on Google Patents ↗ Look up on USPTO ↗