Live analysis

501,402

501,402 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.).

501,402 (five hundred one thousand four hundred two) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 3 × 11 × 71 × 107. Its proper divisors sum to 618,342, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7A69A.

Abundant Number Arithmetic Number Cube-Free Odious Number Pernicious Number Practical Number Semiperfect Number Squarefree

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

501,390 501,391 501,392 501,393 501,394 501,395 501,396 501,397 501,398 501,399 501,400 501,401 501,402 501,403 501,404 501,405 501,406 501,407 501,408 501,409 501,410 501,411 501,412 501,413 501,414

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 19 bits
Reversed: 204,105
Square (n²): 251,403,965,604
Cube (n³): 126,054,451,161,776,808
Divisor count: 32
σ(n) — sum of divisors: 1,119,744
φ(n) — Euler's totient: 148,400
Sum of prime factors: 194

Primality

Prime factorization: 2 × 3 × 11 × 71 × 107

Nearest primes: 501,401 (−1) · 501,409 (+7)

Divisors & multiples

All divisors (32)

1 · 2 · 3 · 6 · 11 · 22 · 33 · 66 · 71 · 107 · 142 · 213 · 214 · 321 · 426 · 642 · 781 · 1177 · 1562 · 2343 · 2354 · 3531 · 4686 · 7062 · 7597 · 15194 · 22791 · 45582 · 83567 · 167134 · 250701 (half) · 501402

Aliquot sum (sum of proper divisors): 618,342

Factor pairs (a × b = 501,402)

1 × 501402

2 × 250701

3 × 167134

6 × 83567

11 × 45582

22 × 22791

33 × 15194

66 × 7597

71 × 7062

107 × 4686

142 × 3531

213 × 2354

214 × 2343

321 × 1562

426 × 1177

642 × 781

First multiples

501,402 · 1,002,804 (double) · 1,504,206 · 2,005,608 · 2,507,010 · 3,008,412 · 3,509,814 · 4,011,216 · 4,512,618 · 5,014,020

Sums & aliquot sequence

As consecutive integers: 167,133 + 167,134 + 167,135 125,349 + 125,350 + 125,351 + 125,352 45,577 + 45,578 + … + 45,587 41,778 + 41,779 + … + 41,789

Aliquot sequence: 501,402 → 618,342 → 626,250 → 948,246 → 1,094,298 → 1,105,638 → 1,105,650 → 2,685,774 → 3,926,706 → 5,048,718 → 5,755,122 → 6,714,348 → 8,952,492 → 11,936,684 → 9,397,300 → 12,851,276 → 9,638,464 — unresolved within range

Continued fraction of √n

√501,402 = [708; (10, 3, 1, 4, 1, 1, 1, 5, 1, 2, 2, 1, 1, 1, 1, 6, 1, 1, 82, 1, 3, 2, 1, 4, …)]

Period length 60 — the block in parentheses repeats forever.

Representations

In words: five hundred one thousand four hundred two
Ordinal: 501402nd
Binary: 1111010011010011010
Octal: 1723232
Hexadecimal: 0x7A69A
Base64: B6aa
One's complement: 4,294,465,893 (32-bit)
Scientific notation: 5.01402 × 10⁵
As a duration: 501,402 s = 5 days, 19 hours, 16 minutes, 42 seconds

In other bases

ternary (3) 221110210110

quaternary (4) 1322122122

quinary (5) 112021102

senary (6) 14425150

septenary (7) 4155546

nonary (9) 843713

undecimal (11) 312790

duodecimal (12) 2021b6

tridecimal (13) 1472b5

tetradecimal (14) d0a26

pentadecimal (15) 9d86c

As an angle

501,402° = 1,392 × 360° + 282°

282° ≈ 4.922 rad

Compass bearing: WNW (west-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆼𓍢𓍢𓍢𓍢𓏺𓏺
Greek (Milesian): ͵φαυβʹ
Chinese: 五十萬一千四百零二
Chinese (financial): 伍拾萬壹仟肆佰零貳

In other modern scripts

Eastern Arabic ٥٠١٤٠٢ Devanagari ५०१४०२ Bengali ৫০১৪০২ Tamil ௫௦௧௪௦௨ Thai ๕๐๑๔๐๒ Tibetan ༥༠༡༤༠༢ Khmer ៥០១៤០២ Lao ໕໐໑໔໐໒ Burmese ၅၀၁၄၀၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 501402, here are decompositions:

19 + 501383 = 501402
59 + 501343 = 501402
61 + 501341 = 501402
103 + 501299 = 501402
131 + 501271 = 501402
173 + 501229 = 501402
179 + 501223 = 501402
193 + 501209 = 501402

Showing the first eight; more decompositions exist.

Hex color

#07A69A

RGB(7, 166, 154)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.166.154.

Address: 0.7.166.154
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.166.154

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 501,402 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 US501,402 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 501402 first appears in π at position 24,905 of the decimal expansion (the 24,905ordinal-suffix:th 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 501402 on Pi Search ↗