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10,122

10,122 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.).

10,122 (ten thousand one hundred twenty-two) is an even 5-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 7 × 241. Its proper divisors sum to 13,110, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x278A.

Abundant Number Arithmetic Number Cube-Free Happy Number Harshad / Niven Odious Number Pernicious Number Recamán's Sequence Self Number Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
5
Digit sum
6
Digit product
0
Digital root
6
Palindrome
No
Bit width
14 bits
Reversed
22,101
Recamán's sequence
a(5,503) = 10,122
Square (n²)
102,454,884
Cube (n³)
1,037,048,335,848
Divisor count
16
σ(n) — sum of divisors
23,232
φ(n) — Euler's totient
2,880
Sum of prime factors
253

Primality

Prime factorization: 2 × 3 × 7 × 241

Nearest primes: 10,111 (−11) · 10,133 (+11)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 6 · 7 · 14 · 21 · 42 · 241 · 482 · 723 · 1446 · 1687 · 3374 · 5061 (half) · 10122
Aliquot sum (sum of proper divisors): 13,110
Factor pairs (a × b = 10,122)
1 × 10122
2 × 5061
3 × 3374
6 × 1687
7 × 1446
14 × 723
21 × 482
42 × 241
First multiples
10,122 · 20,244 (double) · 30,366 · 40,488 · 50,610 · 60,732 · 70,854 · 80,976 · 91,098 · 101,220

Sums & aliquot sequence

As consecutive integers: 3,373 + 3,374 + 3,375 2,529 + 2,530 + 2,531 + 2,532 1,443 + 1,444 + … + 1,449 838 + 839 + … + 849
Aliquot sequence: 10,122 13,110 21,450 41,046 41,058 47,940 97,212 129,644 97,240 174,920 218,740 240,656 269,914 156,326 78,166 65,474 37,966 — unresolved within range

Continued fraction of √n

√10,122 = [100; (1, 1, 1, 1, 4, 3, 3, 1, 32, 1, 3, 3, 4, 1, 1, 1, 1, 200)]

Period length 18 — the block in parentheses repeats forever.

Representations

In words
ten thousand one hundred twenty-two
Ordinal
10122nd
Binary
10011110001010
Octal
23612
Hexadecimal
0x278A
Base64
J4o=
One's complement
55,413 (16-bit)
Scientific notation
1.0122 × 10⁴
As a duration
10,122 s = 2 hours, 48 minutes, 42 seconds
In other bases
ternary (3) 111212220
quaternary (4) 2132022
quinary (5) 310442
senary (6) 114510
septenary (7) 41340
nonary (9) 14786
undecimal (11) 7672
duodecimal (12) 5a36
tridecimal (13) 47b8
tetradecimal (14) 3990
pentadecimal (15) 2eec

As an angle

10,122° = 28 × 360° + 42°
42° ≈ 0.733 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓂍𓍢𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ιρκβʹ
Mayan (base 20)
𝋡·𝋥·𝋦·𝋢
Chinese
一萬零一百二十二
Chinese (financial)
壹萬零壹佰貳拾貳
In other modern scripts
Eastern Arabic ١٠١٢٢ Devanagari १०१२२ Bengali ১০১২২ Tamil ௧௦௧௨௨ Thai ๑๐๑๒๒ Tibetan ༡༠༡༢༢ Khmer ១០១២២ Lao ໑໐໑໒໒ Burmese ၁၀၁၂၂

Digit at this position in famous constants

π — Pi (π)
Digit 10,122 = 7
e — Euler's number (e)
Digit 10,122 = 5
φ — Golden ratio (φ)
Digit 10,122 = 1
√2 — Pythagoras's (√2)
Digit 10,122 = 0
ln 2 — Natural log of 2
Digit 10,122 = 9
γ — Euler-Mascheroni (γ)
Digit 10,122 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 10122, here are decompositions:

  • 11 + 10111 = 10122
  • 19 + 10103 = 10122
  • 23 + 10099 = 10122
  • 29 + 10093 = 10122
  • 31 + 10091 = 10122
  • 43 + 10079 = 10122
  • 53 + 10069 = 10122
  • 61 + 10061 = 10122

Showing the first eight; more decompositions exist.

Unicode codepoint
Dingbat Negative Circled Sans-Serif Digit One
U+278A
Other number (No)

UTF-8 encoding: E2 9E 8A (3 bytes).

Hex color
#00278A
RGB(0, 39, 138)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.39.138.

Address
0.0.39.138
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.39.138

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

Musical pitch

Heard as a frequency, 10,122 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): D♯9 (9956.1 Hz, +29¢)
  • Scientific pitch (C4 = 256 Hz): E9 (10321.3 Hz, -34¢)
  • Baroque pitch (A4 = 415 Hz): E9 (9948.8 Hz, +30¢)
Position in π

The digit sequence 10122 first appears in π at position 137,119 of the decimal expansion (the 137,119ordinal-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°.