Live analysis

124,001

124,001 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.).

124,001 (one hundred twenty-four thousand one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1E461.

Arithmetic Number Chen Prime Cousin Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Recamán's Sequence Self Number Squarefree

Interestingness

★ ★ ★ ★ ★

9 notable facts · grade A

123,989 123,990 123,991 123,992 123,993 123,994 123,995 123,996 123,997 123,998 123,999 124,000 124,001 124,002 124,003 124,004 124,005 124,006 124,007 124,008 124,009 124,010 124,011 124,012 124,013

less more

Properties

Parity: Odd
Digit count: 6
Digit sum: 8
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 17 bits
Reversed: 100,421
Recamán's sequence: a(238,162) = 124,001
Square (n²): 15,376,248,001
Cube (n³): 1,906,670,128,372,001
Divisor count: 2
σ(n) — sum of divisors: 124,002
φ(n) — Euler's totient: 124,000

Primality

124,001 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 124001

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 124,001)

1 × 124001

First multiples

124,001 · 248,002 (double) · 372,003 · 496,004 · 620,005 · 744,006 · 868,007 · 992,008 · 1,116,009 · 1,240,010

Sums & aliquot sequence

As a sum of two squares: 176² + 305²

As consecutive integers: 62,000 + 62,001

Continued fraction of √n

√124,001 = [352; (7, 3, 1, 6, 12, 1, 1, 1, 10, 1, 7, 1, 8, 36, 1, 21, 28, 7, 1, 29, 1, 2, 1, 12, …)]

Representations

In words: one hundred twenty-four thousand one
Ordinal: 124001st
Binary: 11110010001100001
Octal: 362141
Hexadecimal: 0x1E461
Base64: AeRh
One's complement: 4,294,843,294 (32-bit)
Scientific notation: 1.24001 × 10⁵
As a duration: 124,001 s = 1 day, 10 hours, 26 minutes, 41 seconds

In other bases

ternary (3) 20022002122

quaternary (4) 132101201

quinary (5) 12432001

senary (6) 2354025

septenary (7) 1024343

nonary (9) 208078

undecimal (11) 85189

duodecimal (12) 5b915

tridecimal (13) 44597

tetradecimal (14) 33293

pentadecimal (15) 26b1b

As an angle

124,001° = 344 × 360° + 161°

161° ≈ 2.81 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic: 𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓏺
Greek (Milesian): ͵ρκδαʹ
Mayan (base 20): 𝋯·𝋪·𝋠·𝋡
Chinese: 一十二萬四千零一
Chinese (financial): 壹拾貳萬肆仟零壹

In other modern scripts

Eastern Arabic ١٢٤٠٠١ Devanagari १२४००१ Bengali ১২৪০০১ Tamil ௧௨௪௦௦௧ Thai ๑๒๔๐๐๑ Tibetan ༡༢༤༠༠༡ Khmer ១២៤០០១ Lao ໑໒໔໐໐໑ Burmese ၁၂၄၀၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 123,997 (gap of 4)
Next prime: 124,021 (gap of 20)

Pair status: cousin with 123997.

Hex color

#01E461

RGB(1, 228, 97)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.228.97.

Address: 0.1.228.97
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.228.97

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 124,001 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 US124,001 on Google Patents ↗ Look up on USPTO ↗