Live analysis

132,984

132,984 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.).

132,984 (one hundred thirty-two thousand nine hundred eighty-four) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2³ × 3² × 1,847. Its proper divisors sum to 227,376, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20778.

Abundant Number Arithmetic Number Evil Number Refactorable Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

132,972 132,973 132,974 132,975 132,976 132,977 132,978 132,979 132,980 132,981 132,982 132,983 132,984 132,985 132,986 132,987 132,988 132,989 132,990 132,991 132,992 132,993 132,994 132,995 132,996

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 27
Digit product: 1,728
Digital root: 9
Palindrome: No
Bit width: 18 bits
Reversed: 489,231
Square (n²): 17,684,744,256
Cube (n³): 2,351,788,030,139,904
Divisor count: 24
σ(n) — sum of divisors: 360,360
φ(n) — Euler's totient: 44,304
Sum of prime factors: 1,859

Primality

Prime factorization: 2 ³ × 3 ² × 1847

Nearest primes: 132,971 (−13) · 132,989 (+5)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 18 · 24 · 36 · 72 · 1847 · 3694 · 5541 · 7388 · 11082 · 14776 · 16623 · 22164 · 33246 · 44328 · 66492 (half) · 132984

Aliquot sum (sum of proper divisors): 227,376

Factor pairs (a × b = 132,984)

1 × 132984

2 × 66492

3 × 44328

4 × 33246

6 × 22164

8 × 16623

9 × 14776

12 × 11082

18 × 7388

24 × 5541

36 × 3694

72 × 1847

First multiples

132,984 · 265,968 (double) · 398,952 · 531,936 · 664,920 · 797,904 · 930,888 · 1,063,872 · 1,196,856 · 1,329,840

Sums & aliquot sequence

As consecutive integers: 44,327 + 44,328 + 44,329 14,772 + 14,773 + … + 14,780 8,304 + 8,305 + … + 8,319 2,747 + 2,748 + … + 2,794

Aliquot sequence: 132,984 → 227,376 → 409,364 → 331,936 → 430,112 → 416,734 → 208,370 → 173,518 → 89,642 → 72,598 → 36,302 → 25,954 → 15,086 → 8,794 → 4,400 → 7,132 → 5,356 — unresolved within range

Continued fraction of √n

√132,984 = [364; (1, 2, 36, 7, 2, 28, 1, 2, 2, 2, 3, 2, 2, 5, 1, 1, 1, 1, 1, 1, 2, 1, 4, 1, …)]

Representations

In words: one hundred thirty-two thousand nine hundred eighty-four
Ordinal: 132984th
Binary: 100000011101111000
Octal: 403570
Hexadecimal: 0x20778
Base64: Agd4
One's complement: 4,294,834,311 (32-bit)
Scientific notation: 1.32984 × 10⁵
As a duration: 132,984 s = 1 day, 12 hours, 56 minutes, 24 seconds

In other bases

ternary (3) 20202102100

quaternary (4) 200131320

quinary (5) 13223414

senary (6) 2503400

septenary (7) 1062465

nonary (9) 222370

undecimal (11) 90a05

duodecimal (12) 64b60

tridecimal (13) 486b7

tetradecimal (14) 3666c

pentadecimal (15) 29609

As an angle

132,984° = 369 × 360° + 144°

144° ≈ 2.513 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ρλβϡπδʹ
Mayan (base 20): 𝋰·𝋬·𝋩·𝋤
Chinese: 一十三萬二千九百八十四
Chinese (financial): 壹拾參萬貳仟玖佰捌拾肆

In other modern scripts

Eastern Arabic ١٣٢٩٨٤ Devanagari १३२९८४ Bengali ১৩২৯৮৪ Tamil ௧௩௨௯௮௪ Thai ๑๓๒๙๘๔ Tibetan ༡༣༢༩༨༤ Khmer ១៣២៩៨៤ Lao ໑໓໒໙໘໔ Burmese ၁၃၂၉၈၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132984, here are decompositions:

13 + 132971 = 132984
17 + 132967 = 132984
23 + 132961 = 132984
31 + 132953 = 132984
37 + 132947 = 132984
73 + 132911 = 132984
97 + 132887 = 132984
127 + 132857 = 132984

Showing the first eight; more decompositions exist.

Unicode codepoint

𠝸

CJK Unified Ideograph-20778

U+20778

Other letter (Lo)

UTF-8 encoding: F0 A0 9D B8 (4 bytes).

Lookup U+20778 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#020778

RGB(2, 7, 120)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.7.120.

Address: 0.2.7.120
Class: reserved
IPv4-mapped IPv6: ::ffff:0.2.7.120

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 132,984 and was likely granted around 1872.

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

Look up US132,984 on Google Patents ↗ Look up on USPTO ↗