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121,604

121,604 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.).

121,604 (one hundred twenty-one thousand six hundred four) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 7 × 43 × 101. Its proper divisors sum to 129,724, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DB04.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Harshad / Niven Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
406,121
Square (n²)
14,787,532,816
Cube (n³)
1,798,223,140,556,864
Divisor count
24
σ(n) — sum of divisors
251,328
φ(n) — Euler's totient
50,400
Sum of prime factors
155

Primality

Prime factorization: 2 2 × 7 × 43 × 101

Nearest primes: 121,591 (−13) · 121,607 (+3)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 7 · 14 · 28 · 43 · 86 · 101 · 172 · 202 · 301 · 404 · 602 · 707 · 1204 · 1414 · 2828 · 4343 · 8686 · 17372 · 30401 · 60802 (half) · 121604
Aliquot sum (sum of proper divisors): 129,724
Factor pairs (a × b = 121,604)
1 × 121604
2 × 60802
4 × 30401
7 × 17372
14 × 8686
28 × 4343
43 × 2828
86 × 1414
101 × 1204
172 × 707
202 × 602
301 × 404
First multiples
121,604 · 243,208 (double) · 364,812 · 486,416 · 608,020 · 729,624 · 851,228 · 972,832 · 1,094,436 · 1,216,040

Sums & aliquot sequence

As consecutive integers: 17,369 + 17,370 + … + 17,375 15,197 + 15,198 + … + 15,204 2,807 + 2,808 + … + 2,849 2,144 + 2,145 + … + 2,199
Aliquot sequence: 121,604 129,724 138,404 138,460 216,356 216,412 227,108 227,164 267,596 296,884 324,044 337,204 337,260 856,212 1,427,244 2,674,644 4,881,324 — unresolved within range

Continued fraction of √n

√121,604 = [348; (1, 2, 1, 1, 5, 2, 36, 4, 36, 2, 5, 1, 1, 2, 1, 696)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-one thousand six hundred four
Ordinal
121604th
Binary
11101101100000100
Octal
355404
Hexadecimal
0x1DB04
Base64
AdsE
One's complement
4,294,845,691 (32-bit)
Scientific notation
1.21604 × 10⁵
As a duration
121,604 s = 1 day, 9 hours, 46 minutes, 44 seconds
In other bases
ternary (3) 20011210212
quaternary (4) 131230010
quinary (5) 12342404
senary (6) 2334552
septenary (7) 1014350
nonary (9) 204725
undecimal (11) 833aa
duodecimal (12) 5a458
tridecimal (13) 43472
tetradecimal (14) 32460
pentadecimal (15) 2606e

As an angle

121,604° = 337 × 360° + 284°
284° ≈ 4.957 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκαχδʹ
Mayan (base 20)
𝋯·𝋤·𝋠·𝋤
Chinese
一十二萬一千六百零四
Chinese (financial)
壹拾貳萬壹仟陸佰零肆
In other modern scripts
Eastern Arabic ١٢١٦٠٤ Devanagari १२१६०४ Bengali ১২১৬০৪ Tamil ௧௨௧௬௦௪ Thai ๑๒๑๖๐๔ Tibetan ༡༢༡༦༠༤ Khmer ១២១៦០៤ Lao ໑໒໑໖໐໔ Burmese ၁၂၁၆၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 121604, here are decompositions:

  • 13 + 121591 = 121604
  • 73 + 121531 = 121604
  • 97 + 121507 = 121604
  • 103 + 121501 = 121604
  • 151 + 121453 = 121604
  • 157 + 121447 = 121604
  • 163 + 121441 = 121604
  • 271 + 121333 = 121604

Showing the first eight; more decompositions exist.

Hex color
#01DB04
RGB(1, 219, 4)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.219.4.

Address
0.1.219.4
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.219.4

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 121,604 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 121604 first appears in π at position 171,578 of the decimal expansion (the 171,578ordinal-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.