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137,199

137,199 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.).

137,199 (one hundred thirty-seven thousand one hundred ninety-nine) is an odd 6-digit number. It is a composite number with 16 divisors, and factors as 3 × 19 × 29 × 83. Written other ways, in hexadecimal, 0x217EF.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
30
Digit product
1,701
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
991,731
Square (n²)
18,823,565,601
Cube (n³)
2,582,574,376,891,599
Divisor count
16
σ(n) — sum of divisors
201,600
φ(n) — Euler's totient
82,656
Sum of prime factors
134

Primality

Prime factorization: 3 × 19 × 29 × 83

Nearest primes: 137,197 (−2) · 137,201 (+2)

Divisors & multiples

All divisors (16)
1 · 3 · 19 · 29 · 57 · 83 · 87 · 249 · 551 · 1577 · 1653 · 2407 · 4731 · 7221 · 45733 · 137199
Aliquot sum (sum of proper divisors): 64,401
Factor pairs (a × b = 137,199)
1 × 137199
3 × 45733
19 × 7221
29 × 4731
57 × 2407
83 × 1653
87 × 1577
249 × 551
First multiples
137,199 · 274,398 (double) · 411,597 · 548,796 · 685,995 · 823,194 · 960,393 · 1,097,592 · 1,234,791 · 1,371,990

Sums & aliquot sequence

As consecutive integers: 68,599 + 68,600 45,732 + 45,733 + 45,734 22,864 + 22,865 + 22,866 + 22,867 + 22,868 + 22,869 7,212 + 7,213 + … + 7,230
Aliquot sequence: 137,199 64,401 21,471 8,913 2,975 1,489 1 0 — terminates at zero

Continued fraction of √n

√137,199 = [370; (2, 2, 10, 29, 1, 1, 6, 2, 2, 2, 3, 1, 2, 1, 1, 1, 1, 3, 1, 3, 2, 1, 1, 1, …)]

Period length 50 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-seven thousand one hundred ninety-nine
Ordinal
137199th
Binary
100001011111101111
Octal
413757
Hexadecimal
0x217EF
Base64
Ahfv
One's complement
4,294,830,096 (32-bit)
Scientific notation
1.37199 × 10⁵
As a duration
137,199 s = 1 day, 14 hours, 6 minutes, 39 seconds
In other bases
ternary (3) 20222012110
quaternary (4) 201133233
quinary (5) 13342244
senary (6) 2535103
septenary (7) 1110666
nonary (9) 228173
undecimal (11) 94097
duodecimal (12) 67493
tridecimal (13) 4a5aa
tetradecimal (14) 37ddd
pentadecimal (15) 2a9b9

As an angle

137,199° = 381 × 360° + 39°
39° ≈ 0.681 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζρϟθʹ
Mayan (base 20)
𝋱·𝋢·𝋳·𝋳
Chinese
一十三萬七千一百九十九
Chinese (financial)
壹拾參萬柒仟壹佰玖拾玖
In other modern scripts
Eastern Arabic ١٣٧١٩٩ Devanagari १३७१९९ Bengali ১৩৭১৯৯ Tamil ௧௩௭௧௯௯ Thai ๑๓๗๑๙๙ Tibetan ༡༣༧༡༩༩ Khmer ១៣៧១៩៩ Lao ໑໓໗໑໙໙ Burmese ၁၃၇၁၉၉

Also seen as

Unicode codepoint
𡟯
CJK Unified Ideograph-217Ef
U+217EF
Other letter (Lo)

UTF-8 encoding: F0 A1 9F AF (4 bytes).

Hex color
#0217EF
RGB(2, 23, 239)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.23.239.

Address
0.2.23.239
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.23.239

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 137,199 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 137199 first appears in π at position 20,496 of the decimal expansion (the 20,496ordinal-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°.