Live analysis

133,060

133,060 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.).

133,060 (one hundred thirty-three thousand sixty) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 5 × 6,653. Its proper divisors sum to 146,408, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x207C4.

Abundant Number Arithmetic Number Cube-Free Gapful Number Odious Number Pernicious Number Self Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

133,048 133,049 133,050 133,051 133,052 133,053 133,054 133,055 133,056 133,057 133,058 133,059 133,060 133,061 133,062 133,063 133,064 133,065 133,066 133,067 133,068 133,069 133,070 133,071 133,072

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 18 bits
Reversed: 60,331
Square (n²): 17,704,963,600
Cube (n³): 2,355,822,456,616,000
Divisor count: 12
σ(n) — sum of divisors: 279,468
φ(n) — Euler's totient: 53,216
Sum of prime factors: 6,662

Primality

Prime factorization: 2 ² × 5 × 6653

Nearest primes: 133,051 (−9) · 133,069 (+9)

Divisors & multiples

All divisors (12)

1 · 2 · 4 · 5 · 10 · 20 · 6653 · 13306 · 26612 · 33265 · 66530 (half) · 133060

Aliquot sum (sum of proper divisors): 146,408

Factor pairs (a × b = 133,060)

1 × 133060

2 × 66530

4 × 33265

5 × 26612

10 × 13306

20 × 6653

First multiples

133,060 · 266,120 (double) · 399,180 · 532,240 · 665,300 · 798,360 · 931,420 · 1,064,480 · 1,197,540 · 1,330,600

Sums & aliquot sequence

As a sum of two squares: 88² + 354² = 142² + 336²

As consecutive integers: 26,610 + 26,611 + 26,612 + 26,613 + 26,614 16,629 + 16,630 + … + 16,636 3,307 + 3,308 + … + 3,346

Aliquot sequence: 133,060 → 146,408 → 128,122 → 75,008 → 75,226 → 41,594 → 29,734 → 14,870 → 11,914 → 9,974 → 4,990 → 4,010 → 3,226 → 1,616 → 1,546 → 776 → 694 — unresolved within range

Continued fraction of √n

√133,060 = [364; (1, 3, 2, 2, 1, 2, 1, 6, 2, 34, 3, 1, 1, 1, 3, 11, 1, 2, 5, 1, 3, 1, 2, 1, …)]

Representations

In words: one hundred thirty-three thousand sixty
Ordinal: 133060th
Binary: 100000011111000100
Octal: 403704
Hexadecimal: 0x207C4
Base64: AgfE
One's complement: 4,294,834,235 (32-bit)
Scientific notation: 1.3306 × 10⁵
As a duration: 133,060 s = 1 day, 12 hours, 57 minutes, 40 seconds

In other bases

ternary (3) 20202112011

quaternary (4) 200133010

quinary (5) 13224220

senary (6) 2504004

septenary (7) 1062634

nonary (9) 222464

undecimal (11) 90a74

duodecimal (12) 65004

tridecimal (13) 48745

tetradecimal (14) 366c4

pentadecimal (15) 2965a

As an angle

133,060° = 369 × 360° + 220°

220° ≈ 3.84 rad

Compass bearing: SW (southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian): ͵ρλγξʹ
Mayan (base 20): 𝋰·𝋬·𝋭·𝋠
Chinese: 一十三萬三千零六十
Chinese (financial): 壹拾參萬參仟零陸拾

In other modern scripts

Eastern Arabic ١٣٣٠٦٠ Devanagari १३३०६० Bengali ১৩৩০৬০ Tamil ௧௩௩௦௬௦ Thai ๑๓๓๐๖๐ Tibetan ༡༣༣༠༦༠ Khmer ១៣៣០៦០ Lao ໑໓໓໐໖໐ Burmese ၁၃၃၀၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133060, here are decompositions:

47 + 133013 = 133060
71 + 132989 = 133060
89 + 132971 = 133060
107 + 132953 = 133060
113 + 132947 = 133060
131 + 132929 = 133060
149 + 132911 = 133060
167 + 132893 = 133060

Showing the first eight; more decompositions exist.

Unicode codepoint

𠟄

CJK Unified Ideograph-207C4

U+207C4

Other letter (Lo)

UTF-8 encoding: F0 A0 9F 84 (4 bytes).

Lookup U+207C4 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0207C4

RGB(2, 7, 196)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.7.196.

Address: 0.2.7.196
Class: reserved
IPv4-mapped IPv6: ::ffff:0.2.7.196

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 133,060 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 US133,060 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 133060 first appears in π at position 125,543 of the decimal expansion (the 125,543ordinal-suffix:rd 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 133060 on Pi Search ↗