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120,077

120,077 is a prime, 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.).

120,077 (one hundred twenty thousand seventy-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1D50D.

Arithmetic Number Chen Prime Cube-Free Deficient Number Happy Number Odious Number Prime Pythagorean Prime Recamán's Sequence Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
770,021
Recamán's sequence
a(239,942) = 120,077
Square (n²)
14,418,485,929
Cube (n³)
1,731,328,534,896,533
Divisor count
2
σ(n) — sum of divisors
120,078
φ(n) — Euler's totient
120,076

Primality

120,077 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 120077
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 120,077)
1 × 120077
First multiples
120,077 · 240,154 (double) · 360,231 · 480,308 · 600,385 · 720,462 · 840,539 · 960,616 · 1,080,693 · 1,200,770

Sums & aliquot sequence

As a sum of two squares: 19² + 346²
As consecutive integers: 60,038 + 60,039

Continued fraction of √n

√120,077 = [346; (1, 1, 11, 4, 15, 1, 6, 1, 5, 1, 1, 1, 1, 12, 1, 2, 1, 1, 2, 4, 3, 2, 2, 62, …)]

Representations

In words
one hundred twenty thousand seventy-seven
Ordinal
120077th
Binary
11101010100001101
Octal
352415
Hexadecimal
0x1D50D
Base64
AdUN
One's complement
4,294,847,218 (32-bit)
Scientific notation
1.20077 × 10⁵
As a duration
120,077 s = 1 day, 9 hours, 21 minutes, 17 seconds
In other bases
ternary (3) 20002201022
quaternary (4) 131110031
quinary (5) 12320302
senary (6) 2323525
septenary (7) 1010036
nonary (9) 202638
undecimal (11) 82241
duodecimal (12) 595a5
tridecimal (13) 42869
tetradecimal (14) 31a8d
pentadecimal (15) 258a2

As an angle

120,077° = 333 × 360° + 197°
197° ≈ 3.438 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκοζʹ
Mayan (base 20)
𝋯·𝋠·𝋣·𝋱
Chinese
一十二萬零七十七
Chinese (financial)
壹拾貳萬零柒拾柒
In other modern scripts
Eastern Arabic ١٢٠٠٧٧ Devanagari १२००७७ Bengali ১২০০৭৭ Tamil ௧௨௦௦௭௭ Thai ๑๒๐๐๗๗ Tibetan ༡༢༠༠༧༧ Khmer ១២០០៧៧ Lao ໑໒໐໐໗໗ Burmese ၁၂၀၀၇၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 120079.

Unicode codepoint
𝔍
Mathematical Fraktur Capital J
U+1D50D
Uppercase letter (Lu)

UTF-8 encoding: F0 9D 94 8D (4 bytes).

Hex color
#01D50D
RGB(1, 213, 13)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.213.13.

Address
0.1.213.13
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.213.13

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 120,077 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 120077 first appears in π at position 371,052 of the decimal expansion (the 371,052ordinal-suffix:nd 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

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.