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123,601

123,601 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.).

123,601 (one hundred twenty-three thousand six hundred one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1E2D1.

Arithmetic Number Chen Prime Cube-Free Deficient Number Emirp Odious Number Prime Pythagorean 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
106,321
Square (n²)
15,277,207,201
Cube (n³)
1,888,278,087,250,801
Divisor count
2
σ(n) — sum of divisors
123,602
φ(n) — Euler's totient
123,600

Primality

123,601 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 123601
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 123,601)
1 × 123601
First multiples
123,601 · 247,202 (double) · 370,803 · 494,404 · 618,005 · 741,606 · 865,207 · 988,808 · 1,112,409 · 1,236,010

Sums & aliquot sequence

As a sum of two squares: 20² + 351²
As consecutive integers: 61,800 + 61,801

Continued fraction of √n

√123,601 = [351; (1, 1, 3, 9, 2, 12, 12, 3, 1, 10, 2, 2, 6, 2, 2, 1, 2, 1, 19, 2, 1, 3, 1, 1, …)]

Representations

In words
one hundred twenty-three thousand six hundred one
Ordinal
123601st
Binary
11110001011010001
Octal
361321
Hexadecimal
0x1E2D1
Base64
AeLR
One's complement
4,294,843,694 (32-bit)
Scientific notation
1.23601 × 10⁵
As a duration
123,601 s = 1 day, 10 hours, 20 minutes, 1 second
In other bases
ternary (3) 20021112211
quaternary (4) 132023101
quinary (5) 12423401
senary (6) 2352121
septenary (7) 1023232
nonary (9) 207484
undecimal (11) 84955
duodecimal (12) 5b641
tridecimal (13) 4434a
tetradecimal (14) 33089
pentadecimal (15) 26951

As an angle

123,601° = 343 × 360° + 121°
121° ≈ 2.112 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋 𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓏺
Greek (Milesian)
͵ρκγχαʹ
Mayan (base 20)
𝋯·𝋩·𝋠·𝋡
Chinese
一十二萬三千六百零一
Chinese (financial)
壹拾貳萬參仟陸佰零壹
In other modern scripts
Eastern Arabic ١٢٣٦٠١ Devanagari १२३६०१ Bengali ১২৩৬০১ Tamil ௧௨௩௬௦௧ Thai ๑๒๓๖๐๑ Tibetan ༡༢༣༦༠༡ Khmer ១២៣៦០១ Lao ໑໒໓໖໐໑ Burmese ၁၂၃၆၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𞋑
Wancho Letter Za
U+1E2D1
Other letter (Lo)

UTF-8 encoding: F0 9E 8B 91 (4 bytes).

Hex color
#01E2D1
RGB(1, 226, 209)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.226.209.

Address
0.1.226.209
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.226.209

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 123,601 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 123601 first appears in π at position 192,508 of the decimal expansion (the 192,508ordinal-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.