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120,948

120,948 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.).

120,948 (one hundred twenty thousand nine hundred forty-eight) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 10,079. Its proper divisors sum to 161,292, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D874.

Abundant Number Arithmetic Number Cube-Free Odious Number Refactorable Number Semiperfect Number Smith Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
0
Digital root
6
Palindrome
No
Bit width
17 bits
Reversed
849,021
Square (n²)
14,628,418,704
Cube (n³)
1,769,277,985,411,392
Divisor count
12
σ(n) — sum of divisors
282,240
φ(n) — Euler's totient
40,312
Sum of prime factors
10,086

Primality

Prime factorization: 2 2 × 3 × 10079

Nearest primes: 120,947 (−1) · 120,977 (+29)

Divisors & multiples

All divisors (12)
1 · 2 · 3 · 4 · 6 · 12 · 10079 · 20158 · 30237 · 40316 · 60474 (half) · 120948
Aliquot sum (sum of proper divisors): 161,292
Factor pairs (a × b = 120,948)
1 × 120948
2 × 60474
3 × 40316
4 × 30237
6 × 20158
12 × 10079
First multiples
120,948 · 241,896 (double) · 362,844 · 483,792 · 604,740 · 725,688 · 846,636 · 967,584 · 1,088,532 · 1,209,480

Sums & aliquot sequence

As consecutive integers: 40,315 + 40,316 + 40,317 15,115 + 15,116 + … + 15,122 5,028 + 5,029 + … + 5,051
Aliquot sequence: 120,948 161,292 215,084 183,580 210,548 186,352 194,328 332,172 507,576 761,424 1,277,136 2,903,586 3,783,774 4,182,306 4,770,462 4,770,474 4,770,486 — unresolved within range

Continued fraction of √n

√120,948 = [347; (1, 3, 2, 5, 1, 3, 3, 1, 2, 4, 14, 1, 1, 3, 11, 1, 1, 52, 1, 56, 1, 52, 1, 1, …)]

Period length 40 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty thousand nine hundred forty-eight
Ordinal
120948th
Binary
11101100001110100
Octal
354164
Hexadecimal
0x1D874
Base64
Adh0
One's complement
4,294,846,347 (32-bit)
Scientific notation
1.20948 × 10⁵
As a duration
120,948 s = 1 day, 9 hours, 35 minutes, 48 seconds
In other bases
ternary (3) 20010220120
quaternary (4) 131201310
quinary (5) 12332243
senary (6) 2331540
septenary (7) 1012422
nonary (9) 203816
undecimal (11) 82963
duodecimal (12) 59bb0
tridecimal (13) 43089
tetradecimal (14) 32112
pentadecimal (15) 25c83

As an angle

120,948° = 335 × 360° + 348°
348° ≈ 6.074 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκϡμηʹ
Mayan (base 20)
𝋯·𝋢·𝋧·𝋨
Chinese
一十二萬零九百四十八
Chinese (financial)
壹拾貳萬零玖佰肆拾捌
In other modern scripts
Eastern Arabic ١٢٠٩٤٨ Devanagari १२०९४८ Bengali ১২০৯৪৮ Tamil ௧௨௦௯௪௮ Thai ๑๒๐๙๔๘ Tibetan ༡༢༠༩༤༨ Khmer ១២០៩៤៨ Lao ໑໒໐໙໔໘ Burmese ၁၂၀၉၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120948, here are decompositions:

  • 5 + 120943 = 120948
  • 7 + 120941 = 120948
  • 11 + 120937 = 120948
  • 19 + 120929 = 120948
  • 29 + 120919 = 120948
  • 31 + 120917 = 120948
  • 41 + 120907 = 120948
  • 59 + 120889 = 120948

Showing the first eight; more decompositions exist.

Unicode codepoint
𝡴
Signwriting Hand-Curlicue Open
U+1D874
Other symbol (So)

UTF-8 encoding: F0 9D A1 B4 (4 bytes).

Hex color
#01D874
RGB(1, 216, 116)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.216.116.

Address
0.1.216.116
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.216.116

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 120,948 and was likely granted around 1871.

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

Position in π

The digit sequence 120948 first appears in π at position 31,505 of the decimal expansion (the 31,505ordinal-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°.