Live analysis

123,821

123,821 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.).

123,821 (one hundred twenty-three thousand eight hundred twenty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1E3AD.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Emirp Odious Number Pernicious Number Prime Pythagorean Prime Self Number Squarefree

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

123,809 123,810 123,811 123,812 123,813 123,814 123,815 123,816 123,817 123,818 123,819 123,820 123,821 123,822 123,823 123,824 123,825 123,826 123,827 123,828 123,829 123,830 123,831 123,832 123,833

less more

Properties

Parity: Odd
Digit count: 6
Digit sum: 17
Digit product: 96
Digital root: 8
Palindrome: No
Bit width: 17 bits
Reversed: 128,321
Square (n²): 15,331,640,041
Cube (n³): 1,898,379,001,516,661
Divisor count: 2
σ(n) — sum of divisors: 123,822
φ(n) — Euler's totient: 123,820

Primality

123,821 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 123821

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 123,821)

1 × 123821

First multiples

123,821 · 247,642 (double) · 371,463 · 495,284 · 619,105 · 742,926 · 866,747 · 990,568 · 1,114,389 · 1,238,210

Sums & aliquot sequence

As a sum of two squares: 205² + 286²

As consecutive integers: 61,910 + 61,911

Continued fraction of √n

√123,821 = [351; (1, 7, 2, 12, 3, 13, 4, 1, 3, 1, 1, 16, 1, 1, 1, 1, 5, 4, 1, 2, 12, 1, 11, 1, …)]

Representations

In words: one hundred twenty-three thousand eight hundred twenty-one
Ordinal: 123821st
Binary: 11110001110101101
Octal: 361655
Hexadecimal: 0x1E3AD
Base64: AeOt
One's complement: 4,294,843,474 (32-bit)
Scientific notation: 1.23821 × 10⁵
As a duration: 123,821 s = 1 day, 10 hours, 23 minutes, 41 seconds

In other bases

ternary (3) 20021211222

quaternary (4) 132032231

quinary (5) 12430241

senary (6) 2353125

septenary (7) 1023665

nonary (9) 207758

undecimal (11) 85035

duodecimal (12) 5b7a5

tridecimal (13) 44489

tetradecimal (14) 331a5

pentadecimal (15) 26a4b

As an angle

123,821° = 343 × 360° + 341°

341° ≈ 5.952 rad

Compass bearing: NNW (north-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic: 𓆐𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺
Greek (Milesian): ͵ρκγωκαʹ
Mayan (base 20): 𝋯·𝋩·𝋫·𝋡
Chinese: 一十二萬三千八百二十一
Chinese (financial): 壹拾貳萬參仟捌佰貳拾壹

In other modern scripts

Eastern Arabic ١٢٣٨٢١ Devanagari १२३८२१ Bengali ১২৩৮২১ Tamil ௧௨௩௮௨௧ Thai ๑๒๓๘๒๑ Tibetan ༡༢༣༨༢༡ Khmer ១២៣៨២១ Lao ໑໒໓໘໒໑ Burmese ၁၂၃၈၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 123,817 (gap of 4)
Next prime: 123,829 (gap of 8)

Pair status: cousin with 123817.

Hex color

#01E3AD

RGB(1, 227, 173)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.227.173.

Address: 0.1.227.173
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.227.173

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 123,821 and was likely granted around 1871.

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

Look up US123,821 on Google Patents ↗ Look up on USPTO ↗