Live analysis

1,013,324

1,013,324 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.).

1,013,324 (one million thirteen thousand three hundred twenty-four) is an even 7-digit number. It is a composite number with 18 divisors, and factors as 2² × 13² × 1,499. Written other ways, in hexadecimal, 0xF764C.

Arithmetic Number Cube-Free Deficient Number Evil Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

1,013,312 1,013,313 1,013,314 1,013,315 1,013,316 1,013,317 1,013,318 1,013,319 1,013,320 1,013,321 1,013,322 1,013,323 1,013,324 1,013,325 1,013,326 1,013,327 1,013,328 1,013,329 1,013,330 1,013,331 1,013,332 1,013,333 1,013,334 1,013,335 1,013,336

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 14
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 20 bits
Reversed: 4,233,101
Square (n²): 1,026,825,528,976
Cube (n³): 1,040,506,952,324,076,224
Divisor count: 18
σ(n) — sum of divisors: 1,921,500
φ(n) — Euler's totient: 467,376
Sum of prime factors: 1,529

Primality

Prime factorization: 2 ² × 13 ² × 1499

Nearest primes: 1,013,321 (−3) · 1,013,329 (+5)

Divisors & multiples

All divisors (18)

1 · 2 · 4 · 13 · 26 · 52 · 169 · 338 · 676 · 1499 · 2998 · 5996 · 19487 · 38974 · 77948 · 253331 · 506662 (half) · 1013324

Aliquot sum (sum of proper divisors): 908,176

Factor pairs (a × b = 1,013,324)

1 × 1013324

2 × 506662

4 × 253331

13 × 77948

26 × 38974

52 × 19487

169 × 5996

338 × 2998

676 × 1499

First multiples

1,013,324 · 2,026,648 (double) · 3,039,972 · 4,053,296 · 5,066,620 · 6,079,944 · 7,093,268 · 8,106,592 · 9,119,916 · 10,133,240

Sums & aliquot sequence

As consecutive integers: 126,662 + 126,663 + … + 126,669 77,942 + 77,943 + … + 77,954 9,692 + 9,693 + … + 9,795 5,912 + 5,913 + … + 6,080

Aliquot sequence: 1,013,324 → 908,176 → 909,168 → 1,757,328 → 2,932,848 → 5,949,520 → 8,335,280 → 11,675,344 → 11,676,336 → 26,416,464 → 45,912,240 → 139,325,904 → 288,563,376 → 495,672,144 → 957,734,832 → 1,596,228,688 → 1,599,477,674 — unresolved within range

Continued fraction of √n

√1,013,324 = [1006; (1, 1, 1, 3, 2, 35, 1, 1, 21, 2, 1, 1, 1, 9, 1, 1, 1, 4, 1, 2, 1, 6, 1, 2, …)]

Representations

In words: one million thirteen thousand three hundred twenty-four
Ordinal: 1013324th
Binary: 11110111011001001100
Octal: 3673114
Hexadecimal: 0xF764C
Base64: D3ZM
One's complement: 4,293,953,971 (32-bit)
Scientific notation: 1.013324 × 10⁶
As a duration: 1,013,324 s = 11 days, 17 hours, 28 minutes, 44 seconds

In other bases

ternary (3) 1220111000112

quaternary (4) 3313121030

quinary (5) 224411244

senary (6) 33415152

septenary (7) 11420204

nonary (9) 1814015

undecimal (11) 632364

duodecimal (12) 40a4b8

tridecimal (13) 296300

tetradecimal (14) 1c5404

pentadecimal (15) 15039e

As an angle

1,013,324° = 2,814 × 360° + 284°

284° ≈ 4.957 rad

Compass bearing: WNW (west-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Chinese: 一百零一萬三千三百二十四
Chinese (financial): 壹佰零壹萬參仟參佰貳拾肆

In other modern scripts

Eastern Arabic ١٠١٣٣٢٤ Devanagari १०१३३२४ Bengali ১০১৩৩২৪ Tamil ௧௦௧௩௩௨௪ Thai ๑๐๑๓๓๒๔ Tibetan ༡༠༡༣༣༢༤ Khmer ១០១៣៣២៤ Lao ໑໐໑໓໓໒໔ Burmese ၁၀၁၃၃၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013324, here are decompositions:

3 + 1013321 = 1013324
61 + 1013263 = 1013324
97 + 1013227 = 1013324
127 + 1013197 = 1013324
181 + 1013143 = 1013324
271 + 1013053 = 1013324
283 + 1013041 = 1013324
331 + 1012993 = 1013324

Showing the first eight; more decompositions exist.

Hex color

#0F764C

RGB(15, 118, 76)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.118.76.

Address: 0.15.118.76
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.118.76

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 1, 3324 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3324-10-01 (MMDYYYY (US, single-digit day))
3324-01-10 (DDMYYYY (Euro, single-digit month))

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 1,013,324 and was likely granted around 1911.

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

Look up US1,013,324 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 1013324 first appears in π at position 555,384 of the decimal expansion (the 555,384ordinal-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.

Look up 1013324 on Pi Search ↗