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121,508

121,508 is a composite number, even.

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.).

121,508 (one hundred twenty-one thousand five hundred eight) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 37 × 821. Written other ways, in hexadecimal, 0x1DAA4.

Arithmetic Number Cube-Free Deficient Number Odious Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
805,121
Square (n²)
14,764,194,064
Cube (n³)
1,793,967,692,328,512
Divisor count
12
σ(n) — sum of divisors
218,652
φ(n) — Euler's totient
59,040
Sum of prime factors
862

Primality

Prime factorization: 2 2 × 37 × 821

Nearest primes: 121,507 (−1) · 121,523 (+15)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 37 · 74 · 148 · 821 · 1642 · 3284 · 30377 · 60754 (half) · 121508
Aliquot sum (sum of proper divisors): 97,144
Factor pairs (a × b = 121,508)
1 × 121508
2 × 60754
4 × 30377
37 × 3284
74 × 1642
148 × 821
First multiples
121,508 · 243,016 (double) · 364,524 · 486,032 · 607,540 · 729,048 · 850,556 · 972,064 · 1,093,572 · 1,215,080

Sums & aliquot sequence

As a sum of two squares: 118² + 328² = 218² + 272²
As consecutive integers: 15,185 + 15,186 + … + 15,192 3,266 + 3,267 + … + 3,302 263 + 264 + … + 558
Aliquot sequence: 121,508 97,144 85,016 74,404 76,796 59,956 53,136 104,406 104,418 121,860 248,328 424,422 614,538 717,000 1,529,400 3,213,600 8,160,672 — unresolved within range

Continued fraction of √n

√121,508 = [348; (1, 1, 2, 1, 1, 1, 2, 16, 1, 1, 1, 1, 1, 13, 1, 1, 1, 1, 10, 3, 2, 4, 99, 2, …)]

Period length 56 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-one thousand five hundred eight
Ordinal
121508th
Binary
11101101010100100
Octal
355244
Hexadecimal
0x1DAA4
Base64
Adqk
One's complement
4,294,845,787 (32-bit)
Scientific notation
1.21508 × 10⁵
As a duration
121,508 s = 1 day, 9 hours, 45 minutes, 8 seconds
In other bases
ternary (3) 20011200022
quaternary (4) 131222210
quinary (5) 12342013
senary (6) 2334312
septenary (7) 1014152
nonary (9) 204608
undecimal (11) 83322
duodecimal (12) 5a398
tridecimal (13) 433ca
tetradecimal (14) 323d2
pentadecimal (15) 26008

As an angle

121,508° = 337 × 360° + 188°
188° ≈ 3.281 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκαφηʹ
Mayan (base 20)
𝋯·𝋣·𝋯·𝋨
Chinese
一十二萬一千五百零八
Chinese (financial)
壹拾貳萬壹仟伍佰零捌
In other modern scripts
Eastern Arabic ١٢١٥٠٨ Devanagari १२१५०८ Bengali ১২১৫০৮ Tamil ௧௨௧௫௦௮ Thai ๑๒๑๕๐๘ Tibetan ༡༢༡༥༠༨ Khmer ១២១៥០៨ Lao ໑໒໑໕໐໘ Burmese ၁၂၁၅၀၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 121508, here are decompositions:

  • 7 + 121501 = 121508
  • 61 + 121447 = 121508
  • 67 + 121441 = 121508
  • 139 + 121369 = 121508
  • 151 + 121357 = 121508
  • 157 + 121351 = 121508
  • 181 + 121327 = 121508
  • 199 + 121309 = 121508

Showing the first eight; more decompositions exist.

Unicode codepoint
𝪤
Signwriting Rotation Modifier-5
U+1DAA4
Non-spacing mark (Mn)

UTF-8 encoding: F0 9D AA A4 (4 bytes).

Hex color
#01DAA4
RGB(1, 218, 164)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.218.164.

Address
0.1.218.164
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.218.164

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 121,508 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 121508 first appears in π at position 566,849 of the decimal expansion (the 566,849ordinal-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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.