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133,757

133,757 is a composite number, odd.

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.).

133,757 (one hundred thirty-three thousand seven hundred fifty-seven) is an odd 6-digit number. It is a composite number with 4 divisors, and factors as 13 × 10,289. Written other ways, in hexadecimal, 0x20A7D.

Arithmetic Number Cube-Free Deficient Number Odious Number Semiprime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
26
Digit product
2,205
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
757,331
Square (n²)
17,890,935,049
Cube (n³)
2,393,037,799,349,093
Divisor count
4
σ(n) — sum of divisors
144,060
φ(n) — Euler's totient
123,456
Sum of prime factors
10,302

Primality

Prime factorization: 13 × 10289

Nearest primes: 133,733 (−24) · 133,769 (+12)

Divisors & multiples

All divisors (4)
1 · 13 · 10289 · 133757
Aliquot sum (sum of proper divisors): 10,303
Factor pairs (a × b = 133,757)
1 × 133757
13 × 10289
First multiples
133,757 · 267,514 (double) · 401,271 · 535,028 · 668,785 · 802,542 · 936,299 · 1,070,056 · 1,203,813 · 1,337,570

Sums & aliquot sequence

As a sum of two squares: 149² + 334² = 251² + 266²
As consecutive integers: 66,878 + 66,879 10,283 + 10,284 + … + 10,295 5,132 + 5,133 + … + 5,157
Aliquot sequence: 133,757 10,303 1 0 — terminates at zero

Continued fraction of √n

√133,757 = [365; (1, 2, 1, 2, 10, 2, 1, 1, 5, 6, 7, 1, 7, 13, 1, 2, 14, 1, 1, 2, 2, 1, 1, 14, …)]

Period length 41 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand seven hundred fifty-seven
Ordinal
133757th
Binary
100000101001111101
Octal
405175
Hexadecimal
0x20A7D
Base64
Agp9
One's complement
4,294,833,538 (32-bit)
Scientific notation
1.33757 × 10⁵
As a duration
133,757 s = 1 day, 13 hours, 9 minutes, 17 seconds
In other bases
ternary (3) 20210110222
quaternary (4) 200221331
quinary (5) 13240012
senary (6) 2511125
septenary (7) 1064651
nonary (9) 223428
undecimal (11) 91548
duodecimal (12) 654a5
tridecimal (13) 48b60
tetradecimal (14) 36a61
pentadecimal (15) 29972

As an angle

133,757° = 371 × 360° + 197°
197° ≈ 3.438 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγψνζʹ
Mayan (base 20)
𝋰·𝋮·𝋧·𝋱
Chinese
一十三萬三千七百五十七
Chinese (financial)
壹拾參萬參仟柒佰伍拾柒
In other modern scripts
Eastern Arabic ١٣٣٧٥٧ Devanagari १३३७५७ Bengali ১৩৩৭৫৭ Tamil ௧௩௩௭௫௭ Thai ๑๓๓๗๕๗ Tibetan ༡༣༣༧༥༧ Khmer ១៣៣៧៥៧ Lao ໑໓໓໗໕໗ Burmese ၁၃၃၇၅၇

Also seen as

Unicode codepoint
𠩽
CJK Unified Ideograph-20A7D
U+20A7D
Other letter (Lo)

UTF-8 encoding: F0 A0 A9 BD (4 bytes).

Hex color
#020A7D
RGB(2, 10, 125)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.10.125.

Address
0.2.10.125
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.10.125

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 133,757 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 133757 first appears in π at position 4,813 of the decimal expansion (the 4,813ordinal-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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.