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10,070

10,070 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.).

10,070 (ten thousand seventy) is an even 5-digit number. It is a composite number with 16 divisors, and factors as 2 × 5 × 19 × 53. Written other ways, in hexadecimal, 0x2756.

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

Interestingness

Properties

Parity
Even
Digit count
5
Digit sum
8
Digit product
0
Digital root
8
Palindrome
No
Bit width
14 bits
Reversed
7,001
Recamán's sequence
a(4,927) = 10,070
Square (n²)
101,404,900
Cube (n³)
1,021,147,343,000
Divisor count
16
σ(n) — sum of divisors
19,440
φ(n) — Euler's totient
3,744
Sum of prime factors
79

Primality

Prime factorization: 2 × 5 × 19 × 53

Nearest primes: 10,069 (−1) · 10,079 (+9)

Divisors & multiples

All divisors (16)
1 · 2 · 5 · 10 · 19 · 38 · 53 · 95 · 106 · 190 · 265 · 530 · 1007 · 2014 · 5035 (half) · 10070
Aliquot sum (sum of proper divisors): 9,370
Factor pairs (a × b = 10,070)
1 × 10070
2 × 5035
5 × 2014
10 × 1007
19 × 530
38 × 265
53 × 190
95 × 106
First multiples
10,070 · 20,140 (double) · 30,210 · 40,280 · 50,350 · 60,420 · 70,490 · 80,560 · 90,630 · 100,700

Sums & aliquot sequence

As consecutive integers: 2,516 + 2,517 + 2,518 + 2,519 2,012 + 2,013 + 2,014 + 2,015 + 2,016 521 + 522 + … + 539 494 + 495 + … + 513
Aliquot sequence: 10,070 9,370 7,514 5,380 5,960 7,540 10,100 12,034 7,694 3,850 5,078 2,542 1,490 1,210 1,184 1,210 — enters a cycle

Continued fraction of √n

√10,070 = [100; (2, 1, 6, 3, 1, 17, 2, 17, 1, 3, 6, 1, 2, 200)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words
ten thousand seventy
Ordinal
10070th
Binary
10011101010110
Octal
23526
Hexadecimal
0x2756
Base64
J1Y=
One's complement
55,465 (16-bit)
Scientific notation
1.007 × 10⁴
As a duration
10,070 s = 2 hours, 47 minutes, 50 seconds
In other bases
ternary (3) 111210222
quaternary (4) 2131112
quinary (5) 310240
senary (6) 114342
septenary (7) 41234
nonary (9) 14728
undecimal (11) 7625
duodecimal (12) 59b2
tridecimal (13) 4778
tetradecimal (14) 3954
pentadecimal (15) 2eb5

As an angle

10,070° = 27 × 360° + 350°
350° ≈ 6.109 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓂍𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ιοʹ
Mayan (base 20)
𝋡·𝋥·𝋣·𝋪
Chinese
一萬零七十
Chinese (financial)
壹萬零柒拾
In other modern scripts
Eastern Arabic ١٠٠٧٠ Devanagari १००७० Bengali ১০০৭০ Tamil ௧௦௦௭௦ Thai ๑๐๐๗๐ Tibetan ༡༠༠༧༠ Khmer ១០០៧០ Lao ໑໐໐໗໐ Burmese ၁၀၀၇၀

Digit at this position in famous constants

π — Pi (π)
Digit 10,070 = 2
e — Euler's number (e)
Digit 10,070 = 4
φ — Golden ratio (φ)
Digit 10,070 = 1
√2 — Pythagoras's (√2)
Digit 10,070 = 8
ln 2 — Natural log of 2
Digit 10,070 = 4
γ — Euler-Mascheroni (γ)
Digit 10,070 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 10070, here are decompositions:

  • 3 + 10067 = 10070
  • 31 + 10039 = 10070
  • 61 + 10009 = 10070
  • 97 + 9973 = 10070
  • 103 + 9967 = 10070
  • 139 + 9931 = 10070
  • 163 + 9907 = 10070
  • 199 + 9871 = 10070

Showing the first eight; more decompositions exist.

Unicode codepoint
Black Diamond Minus White X
U+2756
Other symbol (So)

UTF-8 encoding: E2 9D 96 (3 bytes).

Hex color
#002756
RGB(0, 39, 86)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.39.86.

Address
0.0.39.86
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.39.86

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Musical pitch

Heard as a frequency, 10,070 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): D♯9 (9956.1 Hz, +20¢)
  • Scientific pitch (C4 = 256 Hz): E9 (10321.3 Hz, -43¢)
  • Baroque pitch (A4 = 415 Hz): E9 (9948.8 Hz, +21¢)
Position in π

The digit sequence 10070 first appears in π at position 55,373 of the decimal expansion (the 55,373ordinal-suffix:rd 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.