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100,609

100,609 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 Cousin Prime Deficient Number Flippable Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Squarefree

Properties

Parity
Odd
Digit count
6
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
17 bits
Reversed
906,001
Flips to (rotate 180°)
609,001
Recamán's sequence
a(255,498) = 100,609
Square (n²)
10,122,170,881
Cube (n³)
1,018,381,490,166,529
Divisor count
2
σ(n) — sum of divisors
100,610
φ(n) — Euler's totient
100,608

Primality

100,609 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 100609
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 100,609)
1 × 100609
First multiples
100,609 · 201,218 (double) · 301,827 · 402,436 · 503,045 · 603,654 · 704,263 · 804,872 · 905,481 · 1,006,090

Sums & aliquot sequence

As a sum of two squares: 103² + 300²
As consecutive integers: 50,304 + 50,305

Continued fraction of √n

√100,609 = [317; (5, 3, 1, 1, 24, 1, 4, 5, 11, 1, 3, 2, 19, 2, 1, 1, 1, 2, 57, 3, 2, 4, 2, 2, …)]

Representations

In words
one hundred thousand six hundred nine
Ordinal
100609th
Binary
11000100100000001
Octal
304401
Hexadecimal
0x18901
Base64
AYkB
One's complement
4,294,866,686 (32-bit)
Scientific notation
1.00609 × 10⁵
In other bases
ternary (3) 12010000021
quaternary (4) 120210001
quinary (5) 11204414
senary (6) 2053441
septenary (7) 566215
nonary (9) 163007
undecimal (11) 69653
duodecimal (12) 4a281
tridecimal (13) 36a42
tetradecimal (14) 28945
pentadecimal (15) 1ec24

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρχθʹ
Mayan (base 20)
𝋬·𝋫·𝋪·𝋩
Chinese
一十萬零六百零九
Chinese (financial)
壹拾萬零陸佰零玖
In other modern scripts
Eastern Arabic ١٠٠٦٠٩ Devanagari १००६०९ Bengali ১০০৬০৯ Tamil ௧௦௦௬௦௯ Thai ๑๐๐๖๐๙ Tibetan ༡༠༠༦༠༩ Khmer ១០០៦០៩ Lao ໑໐໐໖໐໙ Burmese ၁၀၀၆၀၉

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 100613.

Unicode codepoint
𘤁
Tangut Component-258
U+18901
Other letter (Lo)

UTF-8 encoding: F0 98 A4 81 (4 bytes).

Hex color
#018901
RGB(1, 137, 1)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.137.1.

Address
0.1.137.1
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.137.1

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 100,609 and was likely granted around 1870.

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

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000100609
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.

Position in π

The digit sequence 100609 first appears in π at position 164,338 of the decimal expansion (the 164,338ordinal-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.