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124,513

124,513 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.).

124,513 (one hundred twenty-four thousand five hundred thirteen) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1E661.

Arithmetic Number Cube-Free Deficient Number Emirp Odious Number Prime Pythagorean Prime Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
16
Digit product
120
Digital root
7
Palindrome
No
Bit width
17 bits
Reversed
315,421
Recamán's sequence
a(237,138) = 124,513
Square (n²)
15,503,487,169
Cube (n³)
1,930,385,697,873,697
Divisor count
2
σ(n) — sum of divisors
124,514
φ(n) — Euler's totient
124,512

Primality

124,513 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 124513
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 124,513)
1 × 124513
First multiples
124,513 · 249,026 (double) · 373,539 · 498,052 · 622,565 · 747,078 · 871,591 · 996,104 · 1,120,617 · 1,245,130

Sums & aliquot sequence

As a sum of two squares: 247² + 252²
As consecutive integers: 62,256 + 62,257

Continued fraction of √n

√124,513 = [352; (1, 6, 2, 1, 5, 17, 1, 11, 2, 3, 2, 2, 1, 1, 2, 4, 2, 2, 2, 2, 4, 2, 1, 1, …)]

Period length 37 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-four thousand five hundred thirteen
Ordinal
124513th
Binary
11110011001100001
Octal
363141
Hexadecimal
0x1E661
Base64
AeZh
One's complement
4,294,842,782 (32-bit)
Scientific notation
1.24513 × 10⁵
As a duration
124,513 s = 1 day, 10 hours, 35 minutes, 13 seconds
In other bases
ternary (3) 20022210121
quaternary (4) 132121201
quinary (5) 12441023
senary (6) 2400241
septenary (7) 1026004
nonary (9) 208717
undecimal (11) 85604
duodecimal (12) 60081
tridecimal (13) 4489c
tetradecimal (14) 3353b
pentadecimal (15) 26d5d

As an angle

124,513° = 345 × 360° + 313°
313° ≈ 5.463 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρκδφιγʹ
Mayan (base 20)
𝋯·𝋫·𝋥·𝋭
Chinese
一十二萬四千五百一十三
Chinese (financial)
壹拾貳萬肆仟伍佰壹拾參
In other modern scripts
Eastern Arabic ١٢٤٥١٣ Devanagari १२४५१३ Bengali ১২৪৫১৩ Tamil ௧௨௪௫௧௩ Thai ๑๒๔๕๑๓ Tibetan ༡༢༤༥༡༣ Khmer ១២៤៥១៣ Lao ໑໒໔໕໑໓ Burmese ၁၂၄၅၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#01E661
RGB(1, 230, 97)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.230.97.

Address
0.1.230.97
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.230.97

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 124,513 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 124513 first appears in π at position 465,292 of the decimal expansion (the 465,292ordinal-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.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.