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513,409

513,409 is a composite number, 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.).

513,409 (five hundred thirteen thousand four hundred nine) is an odd 6-digit number. It is a composite number with 8 divisors, and factors as 13 × 73 × 541. Written other ways, in hexadecimal, 0x7D581.

Arithmetic Number Cube-Free Deficient Number Evil Number Self Number Sphenic Number Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
22
Digit product
0
Digital root
4
Palindrome
No
Bit width
19 bits
Reversed
904,315
Square (n²)
263,588,801,281
Cube (n³)
135,328,862,876,876,929
Divisor count
8
σ(n) — sum of divisors
561,512
φ(n) — Euler's totient
466,560
Sum of prime factors
627

Primality

Prime factorization: 13 × 73 × 541

Nearest primes: 513,407 (−2) · 513,419 (+10)

Divisors & multiples

All divisors (8)
1 · 13 · 73 · 541 · 949 · 7033 · 39493 · 513409
Aliquot sum (sum of proper divisors): 48,103
Factor pairs (a × b = 513,409)
1 × 513409
13 × 39493
73 × 7033
541 × 949
First multiples
513,409 · 1,026,818 (double) · 1,540,227 · 2,053,636 · 2,567,045 · 3,080,454 · 3,593,863 · 4,107,272 · 4,620,681 · 5,134,090

Sums & aliquot sequence

As a sum of two squares: 128² + 705² = 153² + 700² = 345² + 628² = 447² + 560²
As consecutive integers: 256,704 + 256,705 39,487 + 39,488 + … + 39,499 19,734 + 19,735 + … + 19,759 6,997 + 6,998 + … + 7,069
Aliquot sequence: 513,409 48,103 4,385 883 1 0 — terminates at zero

Continued fraction of √n

√513,409 = [716; (1, 1, 9, 4, 40, 1, 2, 2, 1, 12, 1, 18, 5, 1, 1, 5, 18, 1, 12, 1, 2, 2, 1, 40, …)]

Period length 29 — the block in parentheses repeats forever.

Representations

In words
five hundred thirteen thousand four hundred nine
Ordinal
513409th
Binary
1111101010110000001
Octal
1752601
Hexadecimal
0x7D581
Base64
B9WB
One's complement
4,294,453,886 (32-bit)
Scientific notation
5.13409 × 10⁵
As a duration
513,409 s = 5 days, 22 hours, 36 minutes, 49 seconds
In other bases
ternary (3) 222002021011
quaternary (4) 1331112001
quinary (5) 112412114
senary (6) 15000521
septenary (7) 4235551
nonary (9) 862234
undecimal (11) 320806
duodecimal (12) 209141
tridecimal (13) 14c8c0
tetradecimal (14) d5161
pentadecimal (15) a21c4

As an angle

513,409° = 1,426 × 360° + 49°
49° ≈ 0.855 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵φιγυθʹ
Chinese
五十一萬三千四百零九
Chinese (financial)
伍拾壹萬參仟肆佰零玖
In other modern scripts
Eastern Arabic ٥١٣٤٠٩ Devanagari ५१३४०९ Bengali ৫১৩৪০৯ Tamil ௫௧௩௪௦௯ Thai ๕๑๓๔๐๙ Tibetan ༥༡༣༤༠༩ Khmer ៥១៣៤០៩ Lao ໕໑໓໔໐໙ Burmese ၅၁၃၄၀၉

Also seen as

Hex color
#07D581
RGB(7, 213, 129)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.213.129.

Address
0.7.213.129
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.213.129

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 513,409 and was likely granted around 1893.

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

Position in π

The digit sequence 513409 first appears in π at position 576,638 of the decimal expansion (the 576,638ordinal-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