Live analysis

120,996

120,996 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.).

120,996 (one hundred twenty thousand nine hundred ninety-six) is an even 6-digit number. It is a composite number with 18 divisors, and factors as 2² × 3² × 3,361. Its proper divisors sum to 184,946, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D8A4.

Abundant Number Cube-Free Evil Number Happy Number Refactorable Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

120,984 120,985 120,986 120,987 120,988 120,989 120,990 120,991 120,992 120,993 120,994 120,995 120,996 120,997 120,998 120,999 121,000 121,001 121,002 121,003 121,004 121,005 121,006 121,007 121,008

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 27
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 17 bits
Reversed: 699,021
Square (n²): 14,640,032,016
Cube (n³): 1,771,385,313,807,936
Divisor count: 18
σ(n) — sum of divisors: 305,942
φ(n) — Euler's totient: 40,320
Sum of prime factors: 3,371

Primality

Prime factorization: 2 ² × 3 ² × 3361

Nearest primes: 120,977 (−19) · 120,997 (+1)

Divisors & multiples

All divisors (18)

1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 36 · 3361 · 6722 · 10083 · 13444 · 20166 · 30249 · 40332 · 60498 (half) · 120996

Aliquot sum (sum of proper divisors): 184,946

Factor pairs (a × b = 120,996)

1 × 120996

2 × 60498

3 × 40332

4 × 30249

6 × 20166

9 × 13444

12 × 10083

18 × 6722

36 × 3361

First multiples

120,996 · 241,992 (double) · 362,988 · 483,984 · 604,980 · 725,976 · 846,972 · 967,968 · 1,088,964 · 1,209,960

Sums & aliquot sequence

As a sum of two squares: 90² + 336²

As consecutive integers: 40,331 + 40,332 + 40,333 15,121 + 15,122 + … + 15,128 13,440 + 13,441 + … + 13,448 5,030 + 5,031 + … + 5,053

Aliquot sequence: 120,996 → 184,946 → 118,414 → 59,210 → 51,382 → 29,114 → 14,560 → 27,776 → 37,504 → 37,466 → 29,062 → 18,530 → 17,110 → 15,290 → 14,950 → 16,298 → 9,082 — unresolved within range

Continued fraction of √n

√120,996 = [347; (1, 5, 2, 3, 1, 7, 1, 4, 2, 1, 9, 9, 19, 1, 3, 3, 2, 2, 1, 24, 7, 3, 1, 1, …)]

Representations

In words: one hundred twenty thousand nine hundred ninety-six
Ordinal: 120996th
Binary: 11101100010100100
Octal: 354244
Hexadecimal: 0x1D8A4
Base64: Adik
One's complement: 4,294,846,299 (32-bit)
Scientific notation: 1.20996 × 10⁵
As a duration: 120,996 s = 1 day, 9 hours, 36 minutes, 36 seconds

In other bases

ternary (3) 20010222100

quaternary (4) 131202210

quinary (5) 12332441

senary (6) 2332100

septenary (7) 1012521

nonary (9) 203870

undecimal (11) 829a7

duodecimal (12) 5a030

tridecimal (13) 430c5

tetradecimal (14) 32148

pentadecimal (15) 25cb6

As an angle

120,996° = 336 × 360° + 36°

36° ≈ 0.628 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ρκϡϟϛʹ
Mayan (base 20): 𝋯·𝋢·𝋩·𝋰
Chinese: 一十二萬零九百九十六
Chinese (financial): 壹拾貳萬零玖佰玖拾陸

In other modern scripts

Eastern Arabic ١٢٠٩٩٦ Devanagari १२०९९६ Bengali ১২০৯৯৬ Tamil ௧௨௦௯௯௬ Thai ๑๒๐๙๙๖ Tibetan ༡༢༠༩༩༦ Khmer ១២០៩៩៦ Lao ໑໒໐໙໙໖ Burmese ၁၂၀၉၉၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120996, here are decompositions:

19 + 120977 = 120996
53 + 120943 = 120996
59 + 120937 = 120996
67 + 120929 = 120996
79 + 120917 = 120996
89 + 120907 = 120996
97 + 120899 = 120996
107 + 120889 = 120996

Showing the first eight; more decompositions exist.

Unicode codepoint

𝢤

Signwriting Hand-Fist Index Middle Little

U+1D8A4

Other symbol (So)

UTF-8 encoding: F0 9D A2 A4 (4 bytes).

Lookup U+1D8A4 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#01D8A4

RGB(1, 216, 164)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.216.164.

Address: 0.1.216.164
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.216.164

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 120,996 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 US120,996 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 120996 first appears in π at position 150,506 of the decimal expansion (the 150,506ordinal-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 120996 on Pi Search ↗