Live analysis

1,013,948

1,013,948 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.).

1,013,948 (one million thirteen thousand nine hundred forty-eight) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2² × 13 × 17 × 31 × 37. Its proper divisors sum to 1,131,076, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF78BC.

Abundant Number Arithmetic Number Cube-Free Harshad / Niven Odious Number Pernicious Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,013,936 1,013,937 1,013,938 1,013,939 1,013,940 1,013,941 1,013,942 1,013,943 1,013,944 1,013,945 1,013,946 1,013,947 1,013,948 1,013,949 1,013,950 1,013,951 1,013,952 1,013,953 1,013,954 1,013,955 1,013,956 1,013,957 1,013,958 1,013,959 1,013,960

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 26
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 20 bits
Reversed: 8,493,101
Square (n²): 1,028,090,546,704
Cube (n³): 1,042,430,353,649,427,392
Divisor count: 48
σ(n) — sum of divisors: 2,145,024
φ(n) — Euler's totient: 414,720
Sum of prime factors: 102

Primality

Prime factorization: 2 ² × 13 × 17 × 31 × 37

Nearest primes: 1,013,933 (−15) · 1,013,993 (+45)

Divisors & multiples

All divisors (48)

1 · 2 · 4 · 13 · 17 · 26 · 31 · 34 · 37 · 52 · 62 · 68 · 74 · 124 · 148 · 221 · 403 · 442 · 481 · 527 · 629 · 806 · 884 · 962 · 1054 · 1147 · 1258 · 1612 · 1924 · 2108 · 2294 · 2516 · 4588 · 6851 · 8177 · 13702 · 14911 · 16354 · 19499 · 27404 · 29822 · 32708 · 38998 · 59644 · 77996 · 253487 · 506974 (half) · 1013948

Aliquot sum (sum of proper divisors): 1,131,076

Factor pairs (a × b = 1,013,948)

1 × 1013948

2 × 506974

4 × 253487

13 × 77996

17 × 59644

26 × 38998

31 × 32708

34 × 29822

37 × 27404

52 × 19499

62 × 16354

68 × 14911

74 × 13702

124 × 8177

148 × 6851

221 × 4588

403 × 2516

442 × 2294

481 × 2108

527 × 1924

629 × 1612

806 × 1258

884 × 1147

962 × 1054

First multiples

1,013,948 · 2,027,896 (double) · 3,041,844 · 4,055,792 · 5,069,740 · 6,083,688 · 7,097,636 · 8,111,584 · 9,125,532 · 10,139,480

Sums & aliquot sequence

As consecutive integers: 126,740 + 126,741 + … + 126,747 77,990 + 77,991 + … + 78,002 59,636 + 59,637 + … + 59,652 32,693 + 32,694 + … + 32,723

Aliquot sequence: 1,013,948 → 1,131,076 → 848,314 → 424,160 → 673,552 → 799,568 → 1,179,472 → 1,432,464 → 2,605,968 → 4,687,526 → 2,343,766 → 1,238,378 → 619,192 → 707,768 → 619,312 → 580,636 → 598,724 — unresolved within range

Continued fraction of √n

√1,013,948 = [1006; (1, 18, 1, 15, 1, 2, 3, 1, 3, 5, 7, 2, 7, 5, 3, 1, 3, 2, 1, 15, 1, 18, 1, 2012)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words: one million thirteen thousand nine hundred forty-eight
Ordinal: 1013948th
Binary: 11110111100010111100
Octal: 3674274
Hexadecimal: 0xF78BC
Base64: D3i8
One's complement: 4,293,953,347 (32-bit)
Scientific notation: 1.013948 × 10⁶
As a duration: 1,013,948 s = 11 days, 17 hours, 39 minutes, 8 seconds

In other bases

ternary (3) 1220111212122

quaternary (4) 3313202330

quinary (5) 224421243

senary (6) 33422112

septenary (7) 11422055

nonary (9) 1814778

undecimal (11) 632881

duodecimal (12) 40a938

tridecimal (13) 296690

tetradecimal (14) 1c572c

pentadecimal (15) 150668

As an angle

1,013,948° = 2,816 × 360° + 188°

188° ≈ 3.281 rad

Compass bearing: S (south)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百零一萬三千九百四十八
Chinese (financial): 壹佰零壹萬參仟玖佰肆拾捌

In other modern scripts

Eastern Arabic ١٠١٣٩٤٨ Devanagari १०१३९४८ Bengali ১০১৩৯৪৮ Tamil ௧௦௧௩௯௪௮ Thai ๑๐๑๓๙๔๘ Tibetan ༡༠༡༣༩༤༨ Khmer ១០១៣៩៤៨ Lao ໑໐໑໓໙໔໘ Burmese ၁၀၁၃၉၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013948, here are decompositions:

97 + 1013851 = 1013948
109 + 1013839 = 1013948
157 + 1013791 = 1013948
181 + 1013767 = 1013948
277 + 1013671 = 1013948
307 + 1013641 = 1013948
367 + 1013581 = 1013948
379 + 1013569 = 1013948

Showing the first eight; more decompositions exist.

Hex color

#0F78BC

RGB(15, 120, 188)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.120.188.

Address: 0.15.120.188
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.120.188

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 1, 3948 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3948-10-01 (MMDYYYY (US, single-digit day))
3948-01-10 (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 1,013,948 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 US1,013,948 on Google Patents ↗ Look up on USPTO ↗