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106,713

106,713 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.).

106,713 (one hundred six thousand seven hundred thirteen) is an odd 6-digit number. It is a composite number with 12 divisors, and factors as 3² × 71 × 167. Written other ways, in hexadecimal, 0x1A0D9.

Arithmetic Number Cube-Free Deficient Number Evil Number Recamán's Sequence

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
317,601
Recamán's sequence
a(83,573) = 106,713
Square (n²)
11,387,664,369
Cube (n³)
1,215,211,827,809,097
Divisor count
12
σ(n) — sum of divisors
157,248
φ(n) — Euler's totient
69,720
Sum of prime factors
244

Primality

Prime factorization: 3 2 × 71 × 167

Nearest primes: 106,703 (−10) · 106,721 (+8)

Divisors & multiples

All divisors (12)
1 · 3 · 9 · 71 · 167 · 213 · 501 · 639 · 1503 · 11857 · 35571 · 106713
Aliquot sum (sum of proper divisors): 50,535
Factor pairs (a × b = 106,713)
1 × 106713
3 × 35571
9 × 11857
71 × 1503
167 × 639
213 × 501
First multiples
106,713 · 213,426 (double) · 320,139 · 426,852 · 533,565 · 640,278 · 746,991 · 853,704 · 960,417 · 1,067,130

Sums & aliquot sequence

As consecutive integers: 53,356 + 53,357 35,570 + 35,571 + 35,572 17,783 + 17,784 + 17,785 + 17,786 + 17,787 + 17,788 11,853 + 11,854 + … + 11,861
Aliquot sequence: 106,713 → 50,535 → 37,137 → 12,383 → 2,497 → 239 → 1 → 0 — terminates at zero

Continued fraction of √n

√106,713 = [326; (1, 2, 38, 10, 5, 2, 15, 2, 11, 1, 5, 2, 1, 3, 5, 1, 1, 23, 1, 1, 1, 8, 2, 2, …)]

Representations

In words
one hundred six thousand seven hundred thirteen
Ordinal
106713th
Binary
11010000011011001
Octal
320331
Hexadecimal
0x1A0D9
Base64
AaDZ
One's complement
4,294,860,582 (32-bit)
Scientific notation
1.06713 × 10⁵
As a duration
106,713 s = 1 day, 5 hours, 38 minutes, 33 seconds
In other bases
ternary (3) 12102101100
quaternary (4) 122003121
quinary (5) 11403323
senary (6) 2142013
septenary (7) 623055
nonary (9) 172340
undecimal (11) 731a2
duodecimal (12) 51909
tridecimal (13) 39759
tetradecimal (14) 2ac65
pentadecimal (15) 21943

As an angle

106,713° = 296 × 360° + 153°
153° ≈ 2.67 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρϛψιγʹ
Mayan (base 20)
𝋭·𝋦·𝋯·𝋭
Chinese
十萬六千七百一十三
Chinese (financial)
壹拾萬陸仟柒佰壹拾參
In other modern scripts
Eastern Arabic ١٠٦٧١٣ Devanagari १०६७१३ Bengali ১০৬৭১৩ Tamil ௧௦௬௭௧௩ Thai ๑๐๖๗๑๓ Tibetan ༡༠༦༧༡༣ Khmer ១០៦៧១៣ Lao ໑໐໖໗໑໓ Burmese ၁၀၆၇၁၃

Also seen as

Hex color
#01A0D9
RGB(1, 160, 217)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.160.217.

Address
0.1.160.217
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.160.217

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 106,713 and was likely granted around 1870.

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

Position in π

The digit sequence 106713 first appears in π at position 781,254 of the decimal expansion (the 781,254ordinal-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°.