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521,720

521,720 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.).

521,720 (five hundred twenty-one thousand seven hundred twenty) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 5 × 13,043. Its proper divisors sum to 652,240, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7F5F8.

Abundant Number Evil Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
19 bits
Reversed
27,125
Square (n²)
272,191,758,400
Cube (n³)
142,007,884,192,448,000
Divisor count
16
σ(n) — sum of divisors
1,173,960
φ(n) — Euler's totient
208,672
Sum of prime factors
13,054

Primality

Prime factorization: 2 3 × 5 × 13043

Nearest primes: 521,707 (−13) · 521,723 (+3)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 5 · 8 · 10 · 20 · 40 · 13043 · 26086 · 52172 · 65215 · 104344 · 130430 · 260860 (half) · 521720
Aliquot sum (sum of proper divisors): 652,240
Factor pairs (a × b = 521,720)
1 × 521720
2 × 260860
4 × 130430
5 × 104344
8 × 65215
10 × 52172
20 × 26086
40 × 13043
First multiples
521,720 · 1,043,440 (double) · 1,565,160 · 2,086,880 · 2,608,600 · 3,130,320 · 3,652,040 · 4,173,760 · 4,695,480 · 5,217,200

Sums & aliquot sequence

As consecutive integers: 104,342 + 104,343 + 104,344 + 104,345 + 104,346 32,600 + 32,601 + … + 32,615 6,482 + 6,483 + … + 6,561
Aliquot sequence: 521,720 652,240 919,088 1,045,072 1,442,864 1,443,856 1,555,952 1,556,944 1,673,008 1,674,000 4,516,080 9,959,184 20,372,208 33,957,648 64,155,120 141,165,072 285,474,288 — unresolved within range

Continued fraction of √n

√521,720 = [722; (3, 3, 5, 32, 1, 1, 1, 4, 13, 1, 2, 11, 1, 1, 2, 15, 1, 5, 18, 8, 2, 34, 1, 3, …)]

Representations

In words
five hundred twenty-one thousand seven hundred twenty
Ordinal
521720th
Binary
1111111010111111000
Octal
1772770
Hexadecimal
0x7F5F8
Base64
B/X4
One's complement
4,294,445,575 (32-bit)
Scientific notation
5.2172 × 10⁵
As a duration
521,720 s = 6 days, 55 minutes, 20 seconds
In other bases
ternary (3) 222111122222
quaternary (4) 1333113320
quinary (5) 113143340
senary (6) 15103212
septenary (7) 4302023
nonary (9) 874588
undecimal (11) 326a81
duodecimal (12) 211b08
tridecimal (13) 153614
tetradecimal (14) d81ba
pentadecimal (15) a48b5

As an angle

521,720° = 1,449 × 360° + 80°
80° ≈ 1.396 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵φκαψκʹ
Chinese
五十二萬一千七百二十
Chinese (financial)
伍拾貳萬壹仟柒佰貳拾
In other modern scripts
Eastern Arabic ٥٢١٧٢٠ Devanagari ५२१७२० Bengali ৫২১৭২০ Tamil ௫௨௧௭௨௦ Thai ๕๒๑๗๒๐ Tibetan ༥༢༡༧༢༠ Khmer ៥២១៧២០ Lao ໕໒໑໗໒໐ Burmese ၅၂၁၇၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 521720, here are decompositions:

  • 13 + 521707 = 521720
  • 61 + 521659 = 521720
  • 79 + 521641 = 521720
  • 139 + 521581 = 521720
  • 163 + 521557 = 521720
  • 181 + 521539 = 521720
  • 193 + 521527 = 521720
  • 223 + 521497 = 521720

Showing the first eight; more decompositions exist.

Hex color
#07F5F8
RGB(7, 245, 248)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.245.248.

Address
0.7.245.248
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.245.248

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 521,720 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 521720 first appears in π at position 428,860 of the decimal expansion (the 428,860ordinal-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°.