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121,637

121,637 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.).

121,637 (one hundred twenty-one thousand six hundred thirty-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1DB25.

Arithmetic Number Chen Prime Cousin Prime Cube-Free Deficient Number Emirp Evil Number Happy Number Prime Pythagorean Prime Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
20
Digit product
252
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
736,121
Square (n²)
14,795,559,769
Cube (n³)
1,799,687,503,621,853
Divisor count
2
σ(n) — sum of divisors
121,638
φ(n) — Euler's totient
121,636

Primality

121,637 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 121637
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 121,637)
1 × 121637
First multiples
121,637 · 243,274 (double) · 364,911 · 486,548 · 608,185 · 729,822 · 851,459 · 973,096 · 1,094,733 · 1,216,370

Sums & aliquot sequence

As a sum of two squares: 239² + 254²
As consecutive integers: 60,818 + 60,819

Continued fraction of √n

√121,637 = [348; (1, 3, 3, 1, 12, 1, 1, 1, 5, 1, 2, 1, 6, 6, 40, 1, 6, 1, 1, 1, 1, 5, 1, 10, …)]

Period length 55 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-one thousand six hundred thirty-seven
Ordinal
121637th
Binary
11101101100100101
Octal
355445
Hexadecimal
0x1DB25
Base64
Adsl
One's complement
4,294,845,658 (32-bit)
Scientific notation
1.21637 × 10⁵
As a duration
121,637 s = 1 day, 9 hours, 47 minutes, 17 seconds
In other bases
ternary (3) 20011212002
quaternary (4) 131230211
quinary (5) 12343022
senary (6) 2335045
septenary (7) 1014425
nonary (9) 204762
undecimal (11) 8342a
duodecimal (12) 5a485
tridecimal (13) 43499
tetradecimal (14) 32485
pentadecimal (15) 26092

As an angle

121,637° = 337 × 360° + 317°
317° ≈ 5.533 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκαχλζʹ
Mayan (base 20)
𝋯·𝋤·𝋡·𝋱
Chinese
一十二萬一千六百三十七
Chinese (financial)
壹拾貳萬壹仟陸佰參拾柒
In other modern scripts
Eastern Arabic ١٢١٦٣٧ Devanagari १२१६३७ Bengali ১২১৬৩৭ Tamil ௧௨௧௬௩௭ Thai ๑๒๑๖๓๗ Tibetan ༡༢༡༦༣༧ Khmer ១២១៦៣៧ Lao ໑໒໑໖໓໗ Burmese ၁၂၁၆၃၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 121633.

Hex color
#01DB25
RGB(1, 219, 37)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.219.37.

Address
0.1.219.37
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.219.37

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 121,637 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 121637 first appears in π at position 543,490 of the decimal expansion (the 543,490ordinal-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.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.