Live analysis

501,420

501,420 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.).

501,420 (five hundred one thousand four hundred twenty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 5 × 61 × 137. Its proper divisors sum to 935,988, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7A6AC.

Abundant Number Arithmetic Number Cube-Free Harshad / Niven Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

501,408 501,409 501,410 501,411 501,412 501,413 501,414 501,415 501,416 501,417 501,418 501,419 501,420 501,421 501,422 501,423 501,424 501,425 501,426 501,427 501,428 501,429 501,430 501,431 501,432

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 19 bits
Reversed: 24,105
Square (n²): 251,422,016,400
Cube (n³): 126,068,027,463,288,000
Divisor count: 48
σ(n) — sum of divisors: 1,437,408
φ(n) — Euler's totient: 130,560
Sum of prime factors: 210

Primality

Prime factorization: 2 ² × 3 × 5 × 61 × 137

Nearest primes: 501,419 (−1) · 501,427 (+7)

Divisors & multiples

All divisors (48)

1 · 2 · 3 · 4 · 5 · 6 · 10 · 12 · 15 · 20 · 30 · 60 · 61 · 122 · 137 · 183 · 244 · 274 · 305 · 366 · 411 · 548 · 610 · 685 · 732 · 822 · 915 · 1220 · 1370 · 1644 · 1830 · 2055 · 2740 · 3660 · 4110 · 8220 · 8357 · 16714 · 25071 · 33428 · 41785 · 50142 · 83570 · 100284 · 125355 · 167140 · 250710 (half) · 501420

Aliquot sum (sum of proper divisors): 935,988

Factor pairs (a × b = 501,420)

1 × 501420

2 × 250710

3 × 167140

4 × 125355

5 × 100284

6 × 83570

10 × 50142

12 × 41785

15 × 33428

20 × 25071

30 × 16714

60 × 8357

61 × 8220

122 × 4110

137 × 3660

183 × 2740

244 × 2055

274 × 1830

305 × 1644

366 × 1370

411 × 1220

548 × 915

610 × 822

685 × 732

First multiples

501,420 · 1,002,840 (double) · 1,504,260 · 2,005,680 · 2,507,100 · 3,008,520 · 3,509,940 · 4,011,360 · 4,512,780 · 5,014,200

Sums & aliquot sequence

As consecutive integers: 167,139 + 167,140 + 167,141 100,282 + 100,283 + 100,284 + 100,285 + 100,286 62,674 + 62,675 + … + 62,681 33,421 + 33,422 + … + 33,435

Aliquot sequence: 501,420 → 935,988 → 1,248,012 → 1,906,776 → 3,344,184 → 5,713,176 → 11,152,104 → 16,819,896 → 25,922,904 → 48,143,016 → 86,746,284 → 136,251,036 → 216,565,428 → 289,458,412 → 217,093,816 → 190,222,424 → 217,397,176 — unresolved within range

Continued fraction of √n

√501,420 = [708; (9, 12, 1, 7, 2, 5, 4, 1, 1, 1, 1, 22, 1, 1, 1, 1, 4, 5, 2, 7, 1, 12, 9, 1416)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words: five hundred one thousand four hundred twenty
Ordinal: 501420th
Binary: 1111010011010101100
Octal: 1723254
Hexadecimal: 0x7A6AC
Base64: B6as
One's complement: 4,294,465,875 (32-bit)
Scientific notation: 5.0142 × 10⁵
As a duration: 501,420 s = 5 days, 19 hours, 17 minutes

In other bases

ternary (3) 221110211010

quaternary (4) 1322122230

quinary (5) 112021140

senary (6) 14425220

septenary (7) 4155603

nonary (9) 843733

undecimal (11) 3127a7

duodecimal (12) 202210

tridecimal (13) 1472ca

tetradecimal (14) d0a3a

pentadecimal (15) 9d880

As an angle

501,420° = 1,392 × 360° + 300°

300° ≈ 5.236 rad

Compass bearing: WNW (west-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆼𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian): ͵φαυκʹ
Chinese: 五十萬一千四百二十
Chinese (financial): 伍拾萬壹仟肆佰貳拾

In other modern scripts

Eastern Arabic ٥٠١٤٢٠ Devanagari ५०१४२० Bengali ৫০১৪২০ Tamil ௫௦௧௪௨௦ Thai ๕๐๑๔๒๐ Tibetan ༥༠༡༤༢༠ Khmer ៥០១៤២០ Lao ໕໐໑໔໒໐ Burmese ၅၀၁၄၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 501420, here are decompositions:

11 + 501409 = 501420
19 + 501401 = 501420
37 + 501383 = 501420
53 + 501367 = 501420
79 + 501341 = 501420
103 + 501317 = 501420
149 + 501271 = 501420
163 + 501257 = 501420

Showing the first eight; more decompositions exist.

Hex color

#07A6AC

RGB(7, 166, 172)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.166.172.

Address: 0.7.166.172
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.166.172

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 501,420 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 US501,420 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 501420 first appears in π at position 368,581 of the decimal expansion (the 368,581ordinal-suffix:st digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Look up 501420 on Pi Search ↗