Live analysis

1,057,472

1,057,472 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.).

1,057,472 (one million fifty-seven thousand four hundred seventy-two) is an even 7-digit number. It is a composite number with 56 divisors, and factors as 2⁶ × 13 × 31 × 41. Its proper divisors sum to 1,332,160, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1022C0.

Abundant Number Arithmetic Number Harshad / Niven Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,057,460 1,057,461 1,057,462 1,057,463 1,057,464 1,057,465 1,057,466 1,057,467 1,057,468 1,057,469 1,057,470 1,057,471 1,057,472 1,057,473 1,057,474 1,057,475 1,057,476 1,057,477 1,057,478 1,057,479 1,057,480 1,057,481 1,057,482 1,057,483 1,057,484

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 26
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 21 bits
Reversed: 2,747,501
Square (n²): 1,118,247,030,784
Cube (n³): 1,182,514,924,137,218,048
Divisor count: 56
σ(n) — sum of divisors: 2,389,632
φ(n) — Euler's totient: 460,800
Sum of prime factors: 97

Primality

Prime factorization: 2 ⁶ × 13 × 31 × 41

Nearest primes: 1,057,421 (−51) · 1,057,477 (+5)

Divisors & multiples

All divisors (56)

1 · 2 · 4 · 8 · 13 · 16 · 26 · 31 · 32 · 41 · 52 · 62 · 64 · 82 · 104 · 124 · 164 · 208 · 248 · 328 · 403 · 416 · 496 · 533 · 656 · 806 · 832 · 992 · 1066 · 1271 · 1312 · 1612 · 1984 · 2132 · 2542 · 2624 · 3224 · 4264 · 5084 · 6448 · 8528 · 10168 · 12896 · 16523 · 17056 · 20336 · 25792 · 33046 · 34112 · 40672 · 66092 · 81344 · 132184 · 264368 · 528736 (half) · 1057472

Aliquot sum (sum of proper divisors): 1,332,160

Factor pairs (a × b = 1,057,472)

1 × 1057472

2 × 528736

4 × 264368

8 × 132184

13 × 81344

16 × 66092

26 × 40672

31 × 34112

32 × 33046

41 × 25792

52 × 20336

62 × 17056

64 × 16523

82 × 12896

104 × 10168

124 × 8528

164 × 6448

208 × 5084

248 × 4264

328 × 3224

403 × 2624

416 × 2542

496 × 2132

533 × 1984

656 × 1612

806 × 1312

832 × 1271

992 × 1066

First multiples

1,057,472 · 2,114,944 (double) · 3,172,416 · 4,229,888 · 5,287,360 · 6,344,832 · 7,402,304 · 8,459,776 · 9,517,248 · 10,574,720

Sums & aliquot sequence

As consecutive integers: 81,338 + 81,339 + … + 81,350 34,097 + 34,098 + … + 34,127 25,772 + 25,773 + … + 25,812 8,198 + 8,199 + … + 8,325

Aliquot sequence: 1,057,472 → 1,332,160 → 1,996,256 → 1,933,936 → 1,813,096 → 1,586,474 → 1,021,726 → 515,474 → 303,274 → 151,640 → 211,240 → 264,140 → 304,372 → 239,948 → 183,412 → 137,566 → 112,778 — unresolved within range

Continued fraction of √n

√1,057,472 = [1028; (2, 1, 88, 1, 3, 16, 1, 2, 1, 17, 2, 4, 1, 31, 3, 6, 1, 3, 1, 2, 5, 4, 15, 1, …)]

Period length 60 — the block in parentheses repeats forever.

Representations

In words: one million fifty-seven thousand four hundred seventy-two
Ordinal: 1057472nd
Binary: 100000010001011000000
Octal: 4021300
Hexadecimal: 0x1022C0
Base64: ECLA
One's complement: 4,293,909,823 (32-bit)
Scientific notation: 1.057472 × 10⁶
As a duration: 1,057,472 s = 12 days, 5 hours, 44 minutes, 32 seconds

In other bases

ternary (3) 1222201120122

quaternary (4) 10002023000

quinary (5) 232314342

senary (6) 34355412

septenary (7) 11663003

nonary (9) 1881518

undecimal (11) 662549

duodecimal (12) 42bb68

tridecimal (13) 2b0430

tetradecimal (14) 1d753a

pentadecimal (15) 15d4d2

As an angle

1,057,472° = 2,937 × 360° + 152°

152° ≈ 2.653 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Chinese: 一百零五萬七千四百七十二
Chinese (financial): 壹佰零伍萬柒仟肆佰柒拾貳

In other modern scripts

Eastern Arabic ١٠٥٧٤٧٢ Devanagari १०५७४७२ Bengali ১০৫৭৪৭২ Tamil ௧௦௫௭௪௭௨ Thai ๑๐๕๗๔๗๒ Tibetan ༡༠༥༧༤༧༢ Khmer ១០៥៧៤៧២ Lao ໑໐໕໗໔໗໒ Burmese ၁၀၅၇၄၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1057472, here are decompositions:

61 + 1057411 = 1057472
79 + 1057393 = 1057472
181 + 1057291 = 1057472
193 + 1057279 = 1057472
223 + 1057249 = 1057472
379 + 1057093 = 1057472
421 + 1057051 = 1057472
439 + 1057033 = 1057472

Showing the first eight; more decompositions exist.

Hex color

#1022C0

RGB(16, 34, 192)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.34.192.

Address: 0.16.34.192
Class: reserved
IPv4-mapped IPv6: ::ffff:0.16.34.192

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

Possible date

Could be parsed as a date. Most likely interpretation: Friday, January 5, 7472 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

7472-05-01 (DMMYYYY (Euro, single-digit day))
7472-10-05 (MMDYYYY (US, single-digit day))
7472-05-10 (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 1,057,472 and was likely granted around 1912.

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

Look up US1,057,472 on Google Patents ↗ Look up on USPTO ↗