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100,613

100,613 is a prime, 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.).
Arithmetic Number Chen Prime Cousin Prime Deficient Number Evil Number Prime Pythagorean Prime Recamán's Sequence Squarefree

Properties

Parity
Odd
Digit count
6
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
316,001
Recamán's sequence
a(255,490) = 100,613
Square (n²)
10,122,975,769
Cube (n³)
1,018,502,961,046,397
Divisor count
2
σ(n) — sum of divisors
100,614
φ(n) — Euler's totient
100,612

Primality

100,613 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 100613
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 100,613)
1 × 100613
First multiples
100,613 · 201,226 (double) · 301,839 · 402,452 · 503,065 · 603,678 · 704,291 · 804,904 · 905,517 · 1,006,130

Sums & aliquot sequence

As a sum of two squares: 97² + 302²
As consecutive integers: 50,306 + 50,307

Continued fraction of √n

√100,613 = [317; (5, 8, 1, 2, 1, 3, 2, 5, 2, 20, 158, 1, 1, 4, 1, 1, 1, 1, 2, 6, 6, 2, 1, 1, …)]

Period length 41 — the block in parentheses repeats forever.

Representations

In words
one hundred thousand six hundred thirteen
Ordinal
100613th
Binary
11000100100000101
Octal
304405
Hexadecimal
0x18905
Base64
AYkF
One's complement
4,294,866,682 (32-bit)
Scientific notation
1.00613 × 10⁵
In other bases
ternary (3) 12010000102
quaternary (4) 120210011
quinary (5) 11204423
senary (6) 2053445
septenary (7) 566222
nonary (9) 163012
undecimal (11) 69657
duodecimal (12) 4a285
tridecimal (13) 36a46
tetradecimal (14) 28949
pentadecimal (15) 1ec28

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρχιγʹ
Mayan (base 20)
𝋬·𝋫·𝋪·𝋭
Chinese
一十萬零六百一十三
Chinese (financial)
壹拾萬零陸佰壹拾參
In other modern scripts
Eastern Arabic ١٠٠٦١٣ Devanagari १००६१३ Bengali ১০০৬১৩ Tamil ௧௦௦௬௧௩ Thai ๑๐๐๖๑๓ Tibetan ༡༠༠༦༡༣ Khmer ១០០៦១៣ Lao ໑໐໐໖໑໓ Burmese ၁၀၀၆၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 100609.

Unicode codepoint
𘤅
Tangut Component-262
U+18905
Other letter (Lo)

UTF-8 encoding: F0 98 A4 85 (4 bytes).

Hex color
#018905
RGB(1, 137, 5)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.137.5.

Address
0.1.137.5
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.137.5

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 100,613 and was likely granted around 1870.

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