Live analysis

1,007,248

1,007,248 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.).

1,007,248 (one million seven thousand two hundred forty-eight) is an even 7-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 11 × 59 × 97. Its proper divisors sum to 1,180,112, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5E90.

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

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,007,236 1,007,237 1,007,238 1,007,239 1,007,240 1,007,241 1,007,242 1,007,243 1,007,244 1,007,245 1,007,246 1,007,247 1,007,248 1,007,249 1,007,250 1,007,251 1,007,252 1,007,253 1,007,254 1,007,255 1,007,256 1,007,257 1,007,258 1,007,259 1,007,260

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 22
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 20 bits
Reversed: 8,427,001
Square (n²): 1,014,548,533,504
Cube (n³): 1,021,901,981,274,836,992
Divisor count: 40
σ(n) — sum of divisors: 2,187,360
φ(n) — Euler's totient: 445,440
Sum of prime factors: 175

Primality

Prime factorization: 2 ⁴ × 11 × 59 × 97

Nearest primes: 1,007,243 (−5) · 1,007,249 (+1)

Divisors & multiples

All divisors (40)

1 · 2 · 4 · 8 · 11 · 16 · 22 · 44 · 59 · 88 · 97 · 118 · 176 · 194 · 236 · 388 · 472 · 649 · 776 · 944 · 1067 · 1298 · 1552 · 2134 · 2596 · 4268 · 5192 · 5723 · 8536 · 10384 · 11446 · 17072 · 22892 · 45784 · 62953 · 91568 · 125906 · 251812 · 503624 (half) · 1007248

Aliquot sum (sum of proper divisors): 1,180,112

Factor pairs (a × b = 1,007,248)

1 × 1007248

2 × 503624

4 × 251812

8 × 125906

11 × 91568

16 × 62953

22 × 45784

44 × 22892

59 × 17072

88 × 11446

97 × 10384

118 × 8536

176 × 5723

194 × 5192

236 × 4268

388 × 2596

472 × 2134

649 × 1552

776 × 1298

944 × 1067

First multiples

1,007,248 · 2,014,496 (double) · 3,021,744 · 4,028,992 · 5,036,240 · 6,043,488 · 7,050,736 · 8,057,984 · 9,065,232 · 10,072,480

Sums & aliquot sequence

As consecutive integers: 91,563 + 91,564 + … + 91,573 31,461 + 31,462 + … + 31,492 17,043 + 17,044 + … + 17,101 10,336 + 10,337 + … + 10,432

Aliquot sequence: 1,007,248 → 1,180,112 → 1,106,386 → 553,196 → 602,644 → 602,700 → 1,475,292 → 2,859,444 → 5,553,870 → 9,998,130 → 13,997,454 → 14,154,306 → 14,154,318 → 17,822,802 → 17,822,814 → 17,822,826 → 27,514,518 — unresolved within range

Continued fraction of √n

√1,007,248 = [1003; (1, 1, 1, 1, 1, 1, 2, 4, 5, 1, 10, 7, 1, 2, 1, 41, 13, 3, 1, 2, 1, 1, 5, 1, …)]

Representations

In words: one million seven thousand two hundred forty-eight
Ordinal: 1007248th
Binary: 11110101111010010000
Octal: 3657220
Hexadecimal: 0xF5E90
Base64: D16Q
One's complement: 4,293,960,047 (32-bit)
Scientific notation: 1.007248 × 10⁶
As a duration: 1,007,248 s = 11 days, 15 hours, 47 minutes, 28 seconds

In other bases

ternary (3) 1220011200111

quaternary (4) 3311322100

quinary (5) 224212443

senary (6) 33331104

septenary (7) 11363404

nonary (9) 1804614

undecimal (11) 628840

duodecimal (12) 406a94

tridecimal (13) 293608

tetradecimal (14) 1c3104

pentadecimal (15) 14d69d

As an angle

1,007,248° = 2,797 × 360° + 328°

328° ≈ 5.725 rad

Compass bearing: NNW (north-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬七千二百四十八
Chinese (financial): 壹佰萬柒仟貳佰肆拾捌

In other modern scripts

Eastern Arabic ١٠٠٧٢٤٨ Devanagari १००७२४८ Bengali ১০০৭২৪৮ Tamil ௧௦௦௭௨௪௮ Thai ๑๐๐๗๒๔๘ Tibetan ༡༠༠༧༢༤༨ Khmer ១០០៧២៤៨ Lao ໑໐໐໗໒໔໘ Burmese ၁၀၀၇၂၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1007248, here are decompositions:

5 + 1007243 = 1007248
17 + 1007231 = 1007248
131 + 1007117 = 1007248
149 + 1007099 = 1007248
167 + 1007081 = 1007248
227 + 1007021 = 1007248
257 + 1006991 = 1007248
269 + 1006979 = 1007248

Showing the first eight; more decompositions exist.

Hex color

#0F5E90

RGB(15, 94, 144)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.94.144.

Address: 0.15.94.144
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.94.144

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 1,007,248 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 US1,007,248 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 1007248 first appears in π at position 465,368 of the decimal expansion (the 465,368ordinal-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 1007248 on Pi Search ↗