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133,656

133,656 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.).

133,656 (one hundred thirty-three thousand six hundred fifty-six) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 3 × 5,569. Its proper divisors sum to 200,544, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20A18.

Abundant Number Harshad / Niven Moran Number Odious Number Pernicious Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
1,620
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
656,331
Square (n²)
17,863,926,336
Cube (n³)
2,387,620,938,364,416
Divisor count
16
σ(n) — sum of divisors
334,200
φ(n) — Euler's totient
44,544
Sum of prime factors
5,578

Primality

Prime factorization: 2 3 × 3 × 5569

Nearest primes: 133,649 (−7) · 133,657 (+1)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 24 · 5569 · 11138 · 16707 · 22276 · 33414 · 44552 · 66828 (half) · 133656
Aliquot sum (sum of proper divisors): 200,544
Factor pairs (a × b = 133,656)
1 × 133656
2 × 66828
3 × 44552
4 × 33414
6 × 22276
8 × 16707
12 × 11138
24 × 5569
First multiples
133,656 · 267,312 (double) · 400,968 · 534,624 · 668,280 · 801,936 · 935,592 · 1,069,248 · 1,202,904 · 1,336,560

Sums & aliquot sequence

As consecutive integers: 44,551 + 44,552 + 44,553 8,346 + 8,347 + … + 8,361 2,761 + 2,762 + … + 2,808
Aliquot sequence: 133,656 200,544 326,136 503,304 777,816 1,557,384 2,336,136 4,035,864 7,495,656 13,920,984 36,444,456 62,259,474 71,456,622 71,991,138 72,959,262 72,959,274 95,633,046 — unresolved within range

Continued fraction of √n

√133,656 = [365; (1, 1, 2, 3, 1, 1, 2, 1, 7, 1, 2, 5, 1, 2, 1, 17, 1, 1, 5, 1, 3, 1, 3, 28, …)]

Period length 52 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand six hundred fifty-six
Ordinal
133656th
Binary
100000101000011000
Octal
405030
Hexadecimal
0x20A18
Base64
AgoY
One's complement
4,294,833,639 (32-bit)
Scientific notation
1.33656 × 10⁵
As a duration
133,656 s = 1 day, 13 hours, 7 minutes, 36 seconds
In other bases
ternary (3) 20210100020
quaternary (4) 200220120
quinary (5) 13234111
senary (6) 2510440
septenary (7) 1064445
nonary (9) 223306
undecimal (11) 91466
duodecimal (12) 65420
tridecimal (13) 48ab3
tetradecimal (14) 369cc
pentadecimal (15) 29906

As an angle

133,656° = 371 × 360° + 96°
96° ≈ 1.676 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγχνϛʹ
Mayan (base 20)
𝋰·𝋮·𝋢·𝋰
Chinese
一十三萬三千六百五十六
Chinese (financial)
壹拾參萬參仟陸佰伍拾陸
In other modern scripts
Eastern Arabic ١٣٣٦٥٦ Devanagari १३३६५६ Bengali ১৩৩৬৫৬ Tamil ௧௩௩௬௫௬ Thai ๑๓๓๖๕๖ Tibetan ༡༣༣༦༥༦ Khmer ១៣៣៦៥៦ Lao ໑໓໓໖໕໖ Burmese ၁၃၃၆၅၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133656, here are decompositions:

  • 7 + 133649 = 133656
  • 23 + 133633 = 133656
  • 59 + 133597 = 133656
  • 73 + 133583 = 133656
  • 97 + 133559 = 133656
  • 113 + 133543 = 133656
  • 137 + 133519 = 133656
  • 157 + 133499 = 133656

Showing the first eight; more decompositions exist.

Unicode codepoint
𠨘
CJK Unified Ideograph-20A18
U+20A18
Other letter (Lo)

UTF-8 encoding: F0 A0 A8 98 (4 bytes).

Hex color
#020A18
RGB(2, 10, 24)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.10.24.

Address
0.2.10.24
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.10.24

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 133,656 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 133656 first appears in π at position 282,258 of the decimal expansion (the 282,258ordinal-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°.