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100,829

100,829 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 Cube-Free Deficient Number Emirp Evil Number Prime Pythagorean Prime Recamán's Sequence Self Number Sexy Prime Squarefree

Properties

Parity
Odd
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
928,001
Recamán's sequence
a(255,058) = 100,829
Square (n²)
10,166,487,241
Cube (n³)
1,025,076,742,022,789
Divisor count
2
σ(n) — sum of divisors
100,830
φ(n) — Euler's totient
100,828

Primality

100,829 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 100829
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 100,829)
1 × 100829
First multiples
100,829 · 201,658 (double) · 302,487 · 403,316 · 504,145 · 604,974 · 705,803 · 806,632 · 907,461 · 1,008,290

Sums & aliquot sequence

As a sum of two squares: 202² + 245²
As consecutive integers: 50,414 + 50,415

Continued fraction of √n

√100,829 = [317; (1, 1, 6, 2, 11, 12, 7, 1, 21, 1, 4, 8, 21, 1, 3, 2, 17, 1, 2, 2, 1, 9, 14, 3, …)]

Representations

In words
one hundred thousand eight hundred twenty-nine
Ordinal
100829th
Binary
11000100111011101
Octal
304735
Hexadecimal
0x189DD
Base64
AYnd
One's complement
4,294,866,466 (32-bit)
Scientific notation
1.00829 × 10⁵
In other bases
ternary (3) 12010022102
quaternary (4) 120213131
quinary (5) 11211304
senary (6) 2054445
septenary (7) 566651
nonary (9) 163272
undecimal (11) 69833
duodecimal (12) 4a425
tridecimal (13) 36b81
tetradecimal (14) 28a61
pentadecimal (15) 1ed1e

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 · 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρωκθʹ
Mayan (base 20)
𝋬·𝋬·𝋡·𝋩
Chinese
一十萬零八百二十九
Chinese (financial)
壹拾萬零捌佰貳拾玖
In other modern scripts
Eastern Arabic ١٠٠٨٢٩ Devanagari १००८२९ Bengali ১০০৮২৯ Tamil ௧௦௦௮௨௯ Thai ๑๐๐๘๒๙ Tibetan ༡༠༠༨༢༩ Khmer ១០០៨២៩ Lao ໑໐໐໘໒໙ Burmese ၁၀၀၈၂၉

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 100823.

Unicode codepoint
𘧝
Tangut Component-478
U+189DD
Other letter (Lo)

UTF-8 encoding: F0 98 A7 9D (4 bytes).

Hex color
#0189DD
RGB(1, 137, 221)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.137.221.

Address
0.1.137.221
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.137.221

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 100,829 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
000100829
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.