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133,977

133,977 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.).

133,977 (one hundred thirty-three thousand nine hundred seventy-seven) is an odd 6-digit number. It is a composite number with 16 divisors, and factors as 3 × 17 × 37 × 71. Written other ways, in hexadecimal, 0x20B59.

Arithmetic Number Cube-Free Deficient Number Evil Number Gapful Number Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
30
Digit product
3,969
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
779,331
Square (n²)
17,949,836,529
Cube (n³)
2,404,865,248,645,833
Divisor count
16
σ(n) — sum of divisors
196,992
φ(n) — Euler's totient
80,640
Sum of prime factors
128

Primality

Prime factorization: 3 × 17 × 37 × 71

Nearest primes: 133,967 (−10) · 133,979 (+2)

Divisors & multiples

All divisors (16)
1 · 3 · 17 · 37 · 51 · 71 · 111 · 213 · 629 · 1207 · 1887 · 2627 · 3621 · 7881 · 44659 · 133977
Aliquot sum (sum of proper divisors): 63,015
Factor pairs (a × b = 133,977)
1 × 133977
3 × 44659
17 × 7881
37 × 3621
51 × 2627
71 × 1887
111 × 1207
213 × 629
First multiples
133,977 · 267,954 (double) · 401,931 · 535,908 · 669,885 · 803,862 · 937,839 · 1,071,816 · 1,205,793 · 1,339,770

Sums & aliquot sequence

As consecutive integers: 66,988 + 66,989 44,658 + 44,659 + 44,660 22,327 + 22,328 + 22,329 + 22,330 + 22,331 + 22,332 7,873 + 7,874 + … + 7,889
Aliquot sequence: 133,977 63,015 37,833 12,615 8,289 4,031 169 14 10 8 7 1 0 — terminates at zero

Continued fraction of √n

√133,977 = [366; (34, 1, 6, 14, 1, 3, 1, 10, 1, 1, 1, 3, 1, 2, 13, 2, 4, 1, 6, 4, 1, 1, 15, 45, …)]

Representations

In words
one hundred thirty-three thousand nine hundred seventy-seven
Ordinal
133977th
Binary
100000101101011001
Octal
405531
Hexadecimal
0x20B59
Base64
AgtZ
One's complement
4,294,833,318 (32-bit)
Scientific notation
1.33977 × 10⁵
As a duration
133,977 s = 1 day, 13 hours, 12 minutes, 57 seconds
In other bases
ternary (3) 20210210010
quaternary (4) 200231121
quinary (5) 13241402
senary (6) 2512133
septenary (7) 1065414
nonary (9) 223703
undecimal (11) 91728
duodecimal (12) 65649
tridecimal (13) 48c9c
tetradecimal (14) 36b7b
pentadecimal (15) 29a6c

As an angle

133,977° = 372 × 360° + 57°
57° ≈ 0.995 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγϡοζʹ
Mayan (base 20)
𝋰·𝋮·𝋲·𝋱
Chinese
一十三萬三千九百七十七
Chinese (financial)
壹拾參萬參仟玖佰柒拾柒
In other modern scripts
Eastern Arabic ١٣٣٩٧٧ Devanagari १३३९७७ Bengali ১৩৩৯৭৭ Tamil ௧௩௩௯௭௭ Thai ๑๓๓๙๗๗ Tibetan ༡༣༣༩༧༧ Khmer ១៣៣៩៧៧ Lao ໑໓໓໙໗໗ Burmese ၁၃၃၉၇၇

Also seen as

Unicode codepoint
𠭙
CJK Unified Ideograph-20B59
U+20B59
Other letter (Lo)

UTF-8 encoding: F0 A0 AD 99 (4 bytes).

Hex color
#020B59
RGB(2, 11, 89)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.11.89.

Address
0.2.11.89
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.11.89

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 133,977 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 133977 first appears in π at position 855,716 of the decimal expansion (the 855,716ordinal-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°.