number.wiki
Live analysis

133,692

133,692 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.).

133,692 (one hundred thirty-three thousand six hundred ninety-two) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 13 × 857. Its proper divisors sum to 202,644, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20A3C.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
972
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
296,331
Square (n²)
17,873,550,864
Cube (n³)
2,389,550,762,109,888
Divisor count
24
σ(n) — sum of divisors
336,336
φ(n) — Euler's totient
41,088
Sum of prime factors
877

Primality

Prime factorization: 2 2 × 3 × 13 × 857

Nearest primes: 133,691 (−1) · 133,697 (+5)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 4 · 6 · 12 · 13 · 26 · 39 · 52 · 78 · 156 · 857 · 1714 · 2571 · 3428 · 5142 · 10284 · 11141 · 22282 · 33423 · 44564 · 66846 (half) · 133692
Aliquot sum (sum of proper divisors): 202,644
Factor pairs (a × b = 133,692)
1 × 133692
2 × 66846
3 × 44564
4 × 33423
6 × 22282
12 × 11141
13 × 10284
26 × 5142
39 × 3428
52 × 2571
78 × 1714
156 × 857
First multiples
133,692 · 267,384 (double) · 401,076 · 534,768 · 668,460 · 802,152 · 935,844 · 1,069,536 · 1,203,228 · 1,336,920

Sums & aliquot sequence

As consecutive integers: 44,563 + 44,564 + 44,565 16,708 + 16,709 + … + 16,715 10,278 + 10,279 + … + 10,290 5,559 + 5,560 + … + 5,582
Aliquot sequence: 133,692 202,644 350,272 400,044 634,164 881,196 1,174,956 1,586,964 2,115,980 2,356,180 2,591,840 3,631,552 3,637,928 4,224,472 4,828,088 4,600,312 4,258,928 — unresolved within range

Continued fraction of √n

√133,692 = [365; (1, 1, 1, 3, 2, 1, 2, 11, 1, 1, 1, 1, 1, 1, 2, 1, 31, 14, 31, 1, 2, 1, 1, 1, …)]

Period length 36 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand six hundred ninety-two
Ordinal
133692nd
Binary
100000101000111100
Octal
405074
Hexadecimal
0x20A3C
Base64
Ago8
One's complement
4,294,833,603 (32-bit)
Scientific notation
1.33692 × 10⁵
As a duration
133,692 s = 1 day, 13 hours, 8 minutes, 12 seconds
In other bases
ternary (3) 20210101120
quaternary (4) 200220330
quinary (5) 13234232
senary (6) 2510540
septenary (7) 1064526
nonary (9) 223346
undecimal (11) 91499
duodecimal (12) 65450
tridecimal (13) 48b10
tetradecimal (14) 36a16
pentadecimal (15) 2992c

As an angle

133,692° = 371 × 360° + 132°
132° ≈ 2.304 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλγχϟβʹ
Mayan (base 20)
𝋰·𝋮·𝋤·𝋬
Chinese
一十三萬三千六百九十二
Chinese (financial)
壹拾參萬參仟陸佰玖拾貳
In other modern scripts
Eastern Arabic ١٣٣٦٩٢ Devanagari १३३६९२ Bengali ১৩৩৬৯২ Tamil ௧௩௩௬௯௨ Thai ๑๓๓๖๙๒ Tibetan ༡༣༣༦༩༢ Khmer ១៣៣៦៩២ Lao ໑໓໓໖໙໒ Burmese ၁၃၃၆၉၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133692, here are decompositions:

  • 19 + 133673 = 133692
  • 23 + 133669 = 133692
  • 43 + 133649 = 133692
  • 59 + 133633 = 133692
  • 61 + 133631 = 133692
  • 109 + 133583 = 133692
  • 149 + 133543 = 133692
  • 151 + 133541 = 133692

Showing the first eight; more decompositions exist.

Unicode codepoint
𠨼
CJK Unified Ideograph-20A3C
U+20A3C
Other letter (Lo)

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

Hex color
#020A3C
RGB(2, 10, 60)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.10.60.

Address
0.2.10.60
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.10.60

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 133,692 and was likely granted around 1872.

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

Position in π

The digit sequence 133692 first appears in π at position 145,170 of the decimal expansion (the 145,170ordinal-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.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.