Live analysis

121,842

121,842 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.).

121,842 (one hundred twenty-one thousand eight hundred forty-two) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2 × 3² × 7 × 967. Its proper divisors sum to 180,174, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DBF2.

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

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

121,830 121,831 121,832 121,833 121,834 121,835 121,836 121,837 121,838 121,839 121,840 121,841 121,842 121,843 121,844 121,845 121,846 121,847 121,848 121,849 121,850 121,851 121,852 121,853 121,854

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 18
Digit product: 128
Digital root: 9
Palindrome: No
Bit width: 17 bits
Reversed: 248,121
Square (n²): 14,845,472,964
Cube (n³): 1,808,802,116,879,688
Divisor count: 24
σ(n) — sum of divisors: 302,016
φ(n) — Euler's totient: 34,776
Sum of prime factors: 982

Primality

Prime factorization: 2 × 3 ² × 7 × 967

Nearest primes: 121,789 (−53) · 121,843 (+1)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 6 · 7 · 9 · 14 · 18 · 21 · 42 · 63 · 126 · 967 · 1934 · 2901 · 5802 · 6769 · 8703 · 13538 · 17406 · 20307 · 40614 · 60921 (half) · 121842

Aliquot sum (sum of proper divisors): 180,174

Factor pairs (a × b = 121,842)

1 × 121842

2 × 60921

3 × 40614

6 × 20307

7 × 17406

9 × 13538

14 × 8703

18 × 6769

21 × 5802

42 × 2901

63 × 1934

126 × 967

First multiples

121,842 · 243,684 (double) · 365,526 · 487,368 · 609,210 · 731,052 · 852,894 · 974,736 · 1,096,578 · 1,218,420

Sums & aliquot sequence

As consecutive integers: 40,613 + 40,614 + 40,615 30,459 + 30,460 + 30,461 + 30,462 17,403 + 17,404 + … + 17,409 13,534 + 13,535 + … + 13,542

Aliquot sequence: 121,842 → 180,174 → 180,186 → 187,014 → 193,146 → 193,158 → 313,002 → 365,208 → 547,872 → 1,004,448 → 1,632,480 → 3,810,720 → 8,926,368 → 17,200,992 → 28,204,368 → 44,978,448 → 71,792,848 — unresolved within range

Continued fraction of √n

√121,842 = [349; (17, 38, 1, 2, 1, 1, 1, 3, 1, 76, 1, 3, 1, 1, 1, 2, 1, 38, 17, 698)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words: one hundred twenty-one thousand eight hundred forty-two
Ordinal: 121842nd
Binary: 11101101111110010
Octal: 355762
Hexadecimal: 0x1DBF2
Base64: Advy
One's complement: 4,294,845,453 (32-bit)
Scientific notation: 1.21842 × 10⁵
As a duration: 121,842 s = 1 day, 9 hours, 50 minutes, 42 seconds

In other bases

ternary (3) 20012010200

quaternary (4) 131233302

quinary (5) 12344332

senary (6) 2340030

septenary (7) 1015140

nonary (9) 205120

undecimal (11) 835a6

duodecimal (12) 5a616

tridecimal (13) 435c6

tetradecimal (14) 32590

pentadecimal (15) 2617c

As an angle

121,842° = 338 × 360° + 162°

162° ≈ 2.827 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵ρκαωμβʹ
Mayan (base 20): 𝋯·𝋤·𝋬·𝋢
Chinese: 一十二萬一千八百四十二
Chinese (financial): 壹拾貳萬壹仟捌佰肆拾貳

In other modern scripts

Eastern Arabic ١٢١٨٤٢ Devanagari १२१८४२ Bengali ১২১৮৪২ Tamil ௧௨௧௮௪௨ Thai ๑๒๑๘๔๒ Tibetan ༡༢༡༨༤༢ Khmer ១២១៨៤២ Lao ໑໒໑໘໔໒ Burmese ၁၂၁၈၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 121842, here are decompositions:

53 + 121789 = 121842
79 + 121763 = 121842
131 + 121711 = 121842
181 + 121661 = 121842
211 + 121631 = 121842
233 + 121609 = 121842
251 + 121591 = 121842
263 + 121579 = 121842

Showing the first eight; more decompositions exist.

Hex color

#01DBF2

RGB(1, 219, 242)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.219.242.

Address: 0.1.219.242
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.219.242

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 121,842 and was likely granted around 1871.

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

Look up US121,842 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 121842 first appears in π at position 75,654 of the decimal expansion (the 75,654ordinal-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.

Look up 121842 on Pi Search ↗