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1,001,153

1,001,153 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.).

1,001,153 (one million one thousand one hundred fifty-three) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF46C1.

Arithmetic Number Chen Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Sexy Prime Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
20 bits
Reversed
3,511,001
Square (n²)
1,002,307,329,409
Cube (n³)
1,003,462,989,759,808,577
Divisor count
2
σ(n) — sum of divisors
1,001,154
φ(n) — Euler's totient
1,001,152

Primality

1,001,153 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1001153
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,001,153)
1 × 1001153
First multiples
1,001,153 · 2,002,306 (double) · 3,003,459 · 4,004,612 · 5,005,765 · 6,006,918 · 7,008,071 · 8,009,224 · 9,010,377 · 10,011,530

Sums & aliquot sequence

As a sum of two squares: 703² + 712²
As consecutive integers: 500,576 + 500,577

Continued fraction of √n

√1,001,153 = [1000; (1, 1, 2, 1, 3, 2, 4, 7, 4, 1, 2, 20, 3, 1, 1, 1, 5, 1, 17, 1, 1, 24, 1, 4, …)]

Representations

In words
one million one thousand one hundred fifty-three
Ordinal
1001153rd
Binary
11110100011011000001
Octal
3643301
Hexadecimal
0xF46C1
Base64
D0bB
One's complement
4,293,966,142 (32-bit)
Scientific notation
1.001153 × 10⁶
As a duration
1,001,153 s = 11 days, 14 hours, 5 minutes, 53 seconds
In other bases
ternary (3) 1212212022202
quaternary (4) 3310123001
quinary (5) 224014103
senary (6) 33242545
septenary (7) 11336546
nonary (9) 1785282
undecimal (11) 6241aa
duodecimal (12) 403455
tridecimal (13) 2908ca
tetradecimal (14) 1c0bcd
pentadecimal (15) 14b988

As an angle

1,001,153° = 2,780 × 360° + 353°
353° ≈ 6.161 rad

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Chinese
一百萬一千一百五十三
Chinese (financial)
壹佰萬壹仟壹佰伍拾參
In other modern scripts
Eastern Arabic ١٠٠١١٥٣ Devanagari १००११५३ Bengali ১০০১১৫৩ Tamil ௧௦௦௧௧௫௩ Thai ๑๐๐๑๑๕๓ Tibetan ༡༠༠༡༡༥༣ Khmer ១០០១១៥៣ Lao ໑໐໐໑໑໕໓ Burmese ၁၀၀၁၁၅၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 1001159.

Hex color
#0F46C1
RGB(15, 70, 193)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.70.193.

Address
0.15.70.193
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.70.193

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 1,001,153 and was likely granted around 1911.

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

Position in π

The digit sequence 1001153 first appears in π at position 459,875 of the decimal expansion (the 459,875ordinal-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

  • 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.