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521,742

521,742 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.).

521,742 (five hundred twenty-one thousand seven hundred forty-two) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 13 × 6,689. Its proper divisors sum to 602,178, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7F60E.

Abundant Number Arithmetic Number Cube-Free Evil Number Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
560
Digital root
3
Palindrome
No
Bit width
19 bits
Reversed
247,125
Square (n²)
272,214,714,564
Cube (n³)
142,025,849,606,050,488
Divisor count
16
σ(n) — sum of divisors
1,123,920
φ(n) — Euler's totient
160,512
Sum of prime factors
6,707

Primality

Prime factorization: 2 × 3 × 13 × 6689

Nearest primes: 521,723 (−19) · 521,743 (+1)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 6 · 13 · 26 · 39 · 78 · 6689 · 13378 · 20067 · 40134 · 86957 · 173914 · 260871 (half) · 521742
Aliquot sum (sum of proper divisors): 602,178
Factor pairs (a × b = 521,742)
1 × 521742
2 × 260871
3 × 173914
6 × 86957
13 × 40134
26 × 20067
39 × 13378
78 × 6689
First multiples
521,742 · 1,043,484 (double) · 1,565,226 · 2,086,968 · 2,608,710 · 3,130,452 · 3,652,194 · 4,173,936 · 4,695,678 · 5,217,420

Sums & aliquot sequence

As consecutive integers: 173,913 + 173,914 + 173,915 130,434 + 130,435 + 130,436 + 130,437 43,473 + 43,474 + … + 43,484 40,128 + 40,129 + … + 40,140
Aliquot sequence: 521,742 602,178 602,190 963,738 1,206,960 2,649,936 4,195,856 5,095,216 6,680,072 7,890,838 4,139,642 2,611,438 1,587,602 982,798 498,242 269,434 184,742 — unresolved within range

Continued fraction of √n

√521,742 = [722; (3, 6, 1, 1, 18, 4, 2, 4, 5, 1, 6, 1, 2, 1, 1, 1, 2, 33, 4, 1, 1, 1, 1, 2, …)]

Representations

In words
five hundred twenty-one thousand seven hundred forty-two
Ordinal
521742nd
Binary
1111111011000001110
Octal
1773016
Hexadecimal
0x7F60E
Base64
B/YO
One's complement
4,294,445,553 (32-bit)
Scientific notation
5.21742 × 10⁵
As a duration
521,742 s = 6 days, 55 minutes, 42 seconds
In other bases
ternary (3) 222111200210
quaternary (4) 1333120032
quinary (5) 113143432
senary (6) 15103250
septenary (7) 4302054
nonary (9) 874623
undecimal (11) 326aa1
duodecimal (12) 211b26
tridecimal (13) 153630
tetradecimal (14) d81d4
pentadecimal (15) a48cc

As an angle

521,742° = 1,449 × 360° + 102°
102° ≈ 1.78 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵φκαψμβʹ
Chinese
五十二萬一千七百四十二
Chinese (financial)
伍拾貳萬壹仟柒佰肆拾貳
In other modern scripts
Eastern Arabic ٥٢١٧٤٢ Devanagari ५२१७४२ Bengali ৫২১৭৪২ Tamil ௫௨௧௭௪௨ Thai ๕๒๑๗๔๒ Tibetan ༥༢༡༧༤༢ Khmer ៥២១៧៤២ Lao ໕໒໑໗໔໒ Burmese ၅၂၁၇၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 521742, here are decompositions:

  • 19 + 521723 = 521742
  • 71 + 521671 = 521742
  • 73 + 521669 = 521742
  • 83 + 521659 = 521742
  • 101 + 521641 = 521742
  • 139 + 521603 = 521742
  • 191 + 521551 = 521742
  • 223 + 521519 = 521742

Showing the first eight; more decompositions exist.

Hex color
#07F60E
RGB(7, 246, 14)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.246.14.

Address
0.7.246.14
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.246.14

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 521,742 and was likely granted around 1894.

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

Position in π

The digit sequence 521742 first appears in π at position 20,464 of the decimal expansion (the 20,464ordinal-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.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.