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123,007

123,007 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.).

123,007 (one hundred twenty-three thousand seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1E07F.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Prime Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
17 bits
Reversed
700,321
Square (n²)
15,130,722,049
Cube (n³)
1,861,184,727,081,343
Divisor count
2
σ(n) — sum of divisors
123,008
φ(n) — Euler's totient
123,006

Primality

123,007 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 123007
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 123,007)
1 × 123007
First multiples
123,007 · 246,014 (double) · 369,021 · 492,028 · 615,035 · 738,042 · 861,049 · 984,056 · 1,107,063 · 1,230,070

Sums & aliquot sequence

As consecutive integers: 61,503 + 61,504

Continued fraction of √n

√123,007 = [350; (1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 3, 2, 1, 1, 1, 3, 1, 5, 4, 1, 2, 1, 2, 1, …)]

Representations

In words
one hundred twenty-three thousand seven
Ordinal
123007th
Binary
11110000001111111
Octal
360177
Hexadecimal
0x1E07F
Base64
AeB/
One's complement
4,294,844,288 (32-bit)
Scientific notation
1.23007 × 10⁵
As a duration
123,007 s = 1 day, 10 hours, 10 minutes, 7 seconds
In other bases
ternary (3) 20020201211
quaternary (4) 132001333
quinary (5) 12414012
senary (6) 2345251
septenary (7) 1021423
nonary (9) 206654
undecimal (11) 84465
duodecimal (12) 5b227
tridecimal (13) 43cb1
tetradecimal (14) 32b83
pentadecimal (15) 266a7

As an angle

123,007° = 341 × 360° + 247°
247° ≈ 4.311 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋 𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓆼𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκγζʹ
Mayan (base 20)
𝋯·𝋧·𝋪·𝋧
Chinese
一十二萬三千零七
Chinese (financial)
壹拾貳萬參仟零柒
In other modern scripts
Eastern Arabic ١٢٣٠٠٧ Devanagari १२३००७ Bengali ১২৩০০৭ Tamil ௧௨௩௦௦௭ Thai ๑๒๓๐๐๗ Tibetan ༡༢༣༠༠༧ Khmer ១២៣០០៧ Lao ໑໒໓໐໐໗ Burmese ၁၂၃၀၀၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 123001.

Hex color
#01E07F
RGB(1, 224, 127)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.224.127.

Address
0.1.224.127
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.224.127

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 123,007 and was likely granted around 1871.

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

Position in π

The digit sequence 123007 first appears in π at position 244,436 of the decimal expansion (the 244,436ordinal-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.

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.