Live analysis

513,100

513,100 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.).

513,100 (five hundred thirteen thousand one hundred) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2² × 5² × 7 × 733. Its proper divisors sum to 761,124, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7D44C.

Abundant Number Cube-Free Evil Number Gapful Number Harshad / Niven Practical Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

513,088 513,089 513,090 513,091 513,092 513,093 513,094 513,095 513,096 513,097 513,098 513,099 513,100 513,101 513,102 513,103 513,104 513,105 513,106 513,107 513,108 513,109 513,110 513,111 513,112

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Properties

Parity: Even
Digit count: 6
Digit sum: 10
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 19 bits
Reversed: 1,315
Square (n²): 263,271,610,000
Cube (n³): 135,084,663,091,000,000
Divisor count: 36
σ(n) — sum of divisors: 1,274,224
φ(n) — Euler's totient: 175,680
Sum of prime factors: 754

Primality

Prime factorization: 2 ² × 5 ² × 7 × 733

Nearest primes: 513,083 (−17) · 513,101 (+1)

Divisors & multiples

All divisors (36)

1 · 2 · 4 · 5 · 7 · 10 · 14 · 20 · 25 · 28 · 35 · 50 · 70 · 100 · 140 · 175 · 350 · 700 · 733 · 1466 · 2932 · 3665 · 5131 · 7330 · 10262 · 14660 · 18325 · 20524 · 25655 · 36650 · 51310 · 73300 · 102620 · 128275 · 256550 (half) · 513100

Aliquot sum (sum of proper divisors): 761,124

Factor pairs (a × b = 513,100)

1 × 513100

2 × 256550

4 × 128275

5 × 102620

7 × 73300

10 × 51310

14 × 36650

20 × 25655

25 × 20524

28 × 18325

35 × 14660

50 × 10262

70 × 7330

100 × 5131

140 × 3665

175 × 2932

350 × 1466

700 × 733

First multiples

513,100 · 1,026,200 (double) · 1,539,300 · 2,052,400 · 2,565,500 · 3,078,600 · 3,591,700 · 4,104,800 · 4,617,900 · 5,131,000

Sums & aliquot sequence

As consecutive integers: 102,618 + 102,619 + 102,620 + 102,621 + 102,622 73,297 + 73,298 + … + 73,303 64,134 + 64,135 + … + 64,141 20,512 + 20,513 + … + 20,536

Aliquot sequence: 513,100 → 761,124 → 1,609,692 → 2,683,044 → 6,152,013 → 4,003,795 → 800,765 → 312,067 → 48,733 → 1 → 0 — terminates at zero

Continued fraction of √n

√513,100 = [716; (3, 4, 2, 2, 1, 8, 5, 3, 4, 1, 4, 1, 1, 1, 1, 2, 9, 1, 12, 358, 12, 1, 9, 2, …)]

Period length 40 — the block in parentheses repeats forever.

Representations

In words: five hundred thirteen thousand one hundred
Ordinal: 513100th
Binary: 1111101010001001100
Octal: 1752114
Hexadecimal: 0x7D44C
Base64: B9RM
One's complement: 4,294,454,195 (32-bit)
Scientific notation: 5.131 × 10⁵
As a duration: 513,100 s = 5 days, 22 hours, 31 minutes, 40 seconds

In other bases

ternary (3) 222001211201

quaternary (4) 1331101030

quinary (5) 112404400

senary (6) 14555244

septenary (7) 4234630

nonary (9) 861751

undecimal (11) 320555

duodecimal (12) 208b24

tridecimal (13) 14c713

tetradecimal (14) d4dc0

pentadecimal (15) a206a

As an angle

513,100° = 1,425 × 360° + 100°

100° ≈ 1.745 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓂍𓆼𓆼𓆼𓍢
Greek (Milesian): ͵φιγρʹ
Chinese: 五十一萬三千一百
Chinese (financial): 伍拾壹萬參仟壹佰

In other modern scripts

Eastern Arabic ٥١٣١٠٠ Devanagari ५१३१०० Bengali ৫১৩১০০ Tamil ௫௧௩௧௦௦ Thai ๕๑๓๑๐๐ Tibetan ༥༡༣༡༠༠ Khmer ៥១៣១០០ Lao ໕໑໓໑໐໐ Burmese ၅၁၃၁၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 513100, here are decompositions:

17 + 513083 = 513100
41 + 513059 = 513100
47 + 513053 = 513100
53 + 513047 = 513100
59 + 513041 = 513100
83 + 513017 = 513100
101 + 512999 = 513100
173 + 512927 = 513100

Showing the first eight; more decompositions exist.

Hex color

#07D44C

RGB(7, 212, 76)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.212.76.

Address: 0.7.212.76
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.212.76

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 513,100 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 US513,100 on Google Patents ↗ Look up on USPTO ↗