Live analysis

133,672

133,672 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.).

133,672 (one hundred thirty-three thousand six hundred seventy-two) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2³ × 7² × 11 × 31. Its proper divisors sum to 194,648, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20A28.

Abundant Number Arithmetic Number Harshad / Niven Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

133,660 133,661 133,662 133,663 133,664 133,665 133,666 133,667 133,668 133,669 133,670 133,671 133,672 133,673 133,674 133,675 133,676 133,677 133,678 133,679 133,680 133,681 133,682 133,683 133,684

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 22
Digit product: 756
Digital root: 4
Palindrome: No
Bit width: 18 bits
Reversed: 276,331
Square (n²): 17,868,203,584
Cube (n³): 2,388,478,509,480,448
Divisor count: 48
σ(n) — sum of divisors: 328,320
φ(n) — Euler's totient: 50,400
Sum of prime factors: 62

Primality

Prime factorization: 2 ³ × 7 ² × 11 × 31

Nearest primes: 133,669 (−3) · 133,673 (+1)

Divisors & multiples

All divisors (48)

1 · 2 · 4 · 7 · 8 · 11 · 14 · 22 · 28 · 31 · 44 · 49 · 56 · 62 · 77 · 88 · 98 · 124 · 154 · 196 · 217 · 248 · 308 · 341 · 392 · 434 · 539 · 616 · 682 · 868 · 1078 · 1364 · 1519 · 1736 · 2156 · 2387 · 2728 · 3038 · 4312 · 4774 · 6076 · 9548 · 12152 · 16709 · 19096 · 33418 · 66836 (half) · 133672

Aliquot sum (sum of proper divisors): 194,648

Factor pairs (a × b = 133,672)

1 × 133672

2 × 66836

4 × 33418

7 × 19096

8 × 16709

11 × 12152

14 × 9548

22 × 6076

28 × 4774

31 × 4312

44 × 3038

49 × 2728

56 × 2387

62 × 2156

77 × 1736

88 × 1519

98 × 1364

124 × 1078

154 × 868

196 × 682

217 × 616

248 × 539

308 × 434

341 × 392

First multiples

133,672 · 267,344 (double) · 401,016 · 534,688 · 668,360 · 802,032 · 935,704 · 1,069,376 · 1,203,048 · 1,336,720

Sums & aliquot sequence

As consecutive integers: 19,093 + 19,094 + … + 19,099 12,147 + 12,148 + … + 12,157 8,347 + 8,348 + … + 8,362 4,297 + 4,298 + … + 4,327

Aliquot sequence: 133,672 → 194,648 → 183,352 → 204,728 → 183,952 → 172,486 → 86,246 → 47,674 → 31,328 → 36,712 → 37,628 → 31,252 → 27,744 → 49,620 → 89,484 → 119,340 → 304,020 — unresolved within range

Continued fraction of √n

√133,672 = [365; (1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 10, 8, 1, 14, 30, 2, 2, 80, 1, 5, 2, 14, 2, 5, …)]

Period length 44 — the block in parentheses repeats forever.

Representations

In words: one hundred thirty-three thousand six hundred seventy-two
Ordinal: 133672nd
Binary: 100000101000101000
Octal: 405050
Hexadecimal: 0x20A28
Base64: Agoo
One's complement: 4,294,833,623 (32-bit)
Scientific notation: 1.33672 × 10⁵
As a duration: 133,672 s = 1 day, 13 hours, 7 minutes, 52 seconds

In other bases

ternary (3) 20210100211

quaternary (4) 200220220

quinary (5) 13234142

senary (6) 2510504

septenary (7) 1064500

nonary (9) 223324

undecimal (11) 91480

duodecimal (12) 65434

tridecimal (13) 48ac6

tetradecimal (14) 36a00

pentadecimal (15) 29917

As an angle

133,672° = 371 × 360° + 112°

112° ≈ 1.955 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵ρλγχοβʹ
Mayan (base 20): 𝋰·𝋮·𝋣·𝋬
Chinese: 一十三萬三千六百七十二
Chinese (financial): 壹拾參萬參仟陸佰柒拾貳

In other modern scripts

Eastern Arabic ١٣٣٦٧٢ Devanagari १३३६७२ Bengali ১৩৩৬৭২ Tamil ௧௩௩௬௭௨ Thai ๑๓๓๖๗๒ Tibetan ༡༣༣༦༧༢ Khmer ១៣៣៦៧២ Lao ໑໓໓໖໗໒ Burmese ၁၃၃၆၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133672, here are decompositions:

3 + 133669 = 133672
23 + 133649 = 133672
41 + 133631 = 133672
89 + 133583 = 133672
101 + 133571 = 133672
113 + 133559 = 133672
131 + 133541 = 133672
173 + 133499 = 133672

Showing the first eight; more decompositions exist.

Unicode codepoint

𠨨

CJK Unified Ideograph-20A28

U+20A28

Other letter (Lo)

UTF-8 encoding: F0 A0 A8 A8 (4 bytes).

Lookup U+20A28 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#020A28

RGB(2, 10, 40)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.10.40.

Address: 0.2.10.40
Class: reserved
IPv4-mapped IPv6: ::ffff:0.2.10.40

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 133,672 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 US133,672 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 133672 first appears in π at position 301,537 of the decimal expansion (the 301,537ordinal-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 133672 on Pi Search ↗