Live analysis

134,988

134,988 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.).

134,988 (one hundred thirty-four thousand nine hundred eighty-eight) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 7 × 1,607. Its proper divisors sum to 225,204, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20F4C.

Abundant Number Arithmetic Number Cube-Free Evil Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

134,976 134,977 134,978 134,979 134,980 134,981 134,982 134,983 134,984 134,985 134,986 134,987 134,988 134,989 134,990 134,991 134,992 134,993 134,994 134,995 134,996 134,997 134,998 134,999 135,000

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 33
Digit product: 6,912
Digital root: 6
Palindrome: No
Bit width: 18 bits
Reversed: 889,431
Square (n²): 18,221,760,144
Cube (n³): 2,459,718,958,318,272
Divisor count: 24
σ(n) — sum of divisors: 360,192
φ(n) — Euler's totient: 38,544
Sum of prime factors: 1,621

Primality

Prime factorization: 2 ² × 3 × 7 × 1607

Nearest primes: 134,951 (−37) · 134,989 (+1)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 6 · 7 · 12 · 14 · 21 · 28 · 42 · 84 · 1607 · 3214 · 4821 · 6428 · 9642 · 11249 · 19284 · 22498 · 33747 · 44996 · 67494 (half) · 134988

Aliquot sum (sum of proper divisors): 225,204

Factor pairs (a × b = 134,988)

1 × 134988

2 × 67494

3 × 44996

4 × 33747

6 × 22498

7 × 19284

12 × 11249

14 × 9642

21 × 6428

28 × 4821

42 × 3214

84 × 1607

First multiples

134,988 · 269,976 (double) · 404,964 · 539,952 · 674,940 · 809,928 · 944,916 · 1,079,904 · 1,214,892 · 1,349,880

Sums & aliquot sequence

As consecutive integers: 44,995 + 44,996 + 44,997 19,281 + 19,282 + … + 19,287 16,870 + 16,871 + … + 16,877 6,418 + 6,419 + … + 6,438

Aliquot sequence: 134,988 → 225,204 → 387,660 → 967,092 → 1,707,468 → 2,846,004 → 5,193,804 → 10,514,028 → 18,025,644 → 36,841,812 → 62,345,388 → 104,627,796 → 195,844,908 → 353,281,236 → 677,986,092 → 1,373,710,548 → 2,367,469,356 — unresolved within range

Continued fraction of √n

√134,988 = [367; (2, 2, 5, 4, 1, 3, 1, 1, 5, 1, 1, 1, 1, 1, 1, 3, 2, 1, 1, 1, 6, 2, 3, 2, …)]

Representations

In words: one hundred thirty-four thousand nine hundred eighty-eight
Ordinal: 134988th
Binary: 100000111101001100
Octal: 407514
Hexadecimal: 0x20F4C
Base64: Ag9M
One's complement: 4,294,832,307 (32-bit)
Scientific notation: 1.34988 × 10⁵
As a duration: 134,988 s = 1 day, 13 hours, 29 minutes, 48 seconds

In other bases

ternary (3) 20212011120

quaternary (4) 200331030

quinary (5) 13304423

senary (6) 2520540

septenary (7) 1101360

nonary (9) 225146

undecimal (11) 92467

duodecimal (12) 66150

tridecimal (13) 49599

tetradecimal (14) 372a0

pentadecimal (15) 29ee3

As an angle

134,988° = 374 × 360° + 348°

348° ≈ 6.074 rad

Compass bearing: NNW (north-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ρλδϡπηʹ
Mayan (base 20): 𝋰·𝋱·𝋩·𝋨
Chinese: 一十三萬四千九百八十八
Chinese (financial): 壹拾參萬肆仟玖佰捌拾捌

In other modern scripts

Eastern Arabic ١٣٤٩٨٨ Devanagari १३४९८८ Bengali ১৩৪৯৮৮ Tamil ௧௩௪௯௮௮ Thai ๑๓๔๙๘๘ Tibetan ༡༣༤༩༨༨ Khmer ១៣៤៩៨៨ Lao ໑໓໔໙໘໘ Burmese ၁၃၄၉၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 134988, here are decompositions:

37 + 134951 = 134988
41 + 134947 = 134988
67 + 134921 = 134988
71 + 134917 = 134988
79 + 134909 = 134988
101 + 134887 = 134988
131 + 134857 = 134988
137 + 134851 = 134988

Showing the first eight; more decompositions exist.

Unicode codepoint

𠽌

CJK Unified Ideograph-20F4C

U+20F4C

Other letter (Lo)

UTF-8 encoding: F0 A0 BD 8C (4 bytes).

Lookup U+20F4C on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#020F4C

RGB(2, 15, 76)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.15.76.

Address: 0.2.15.76
Class: reserved
IPv4-mapped IPv6: ::ffff:0.2.15.76

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 134,988 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 US134,988 on Google Patents ↗ Look up on USPTO ↗