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Atlas › Integer Profiles › Node 11,097,030

11,097,030

2 × 3 × 5 × 72 × 7549
Abundant Even Composite

11,097,030 factors as 2 × 3 × 5 × 7^2 × 7549. Its 48 positive divisors give a proper-divisor sum of 19,888,170, so this integer is abundant. The Collatz stopping time is 202 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 7^2 × 7549
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 30,985,200
Proper Divisor Sum 19,888,170
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #11097013 ← → #11097041

Radix Representation

Decimal 11097030
Binary 101010010101001111000110 (24 bits)
Octal 0o52251706
Hexadecimal 0xA953C6

Divisor Catalog (48)

1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 490 735 1,470 7,549 15,098 22,647 37,745 45,294 52,843 75,490 105,686 113,235 158,529 226,470 264,215 317,058 369,901 528,430 739,802 792,645 1,109,703 1,585,290 1,849,505 2,219,406 3,699,010 5,548,515 11,097,030

Collatz Trajectory (202 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

11,097,030 5,548,515 16,645,546 8,322,773 24,968,320 12,484,160 6,242,080 3,121,040 1,560,520 780,260 390,130 195,065 585,196 292,598 146,299 438,898 219,449 658,348 329,174 164,587 493,762 246,881 740,644 370,322 185,161 555,484 277,742 138,871 416,614 208,307 624,922 312,461 937,384 468,692 234,346 117,173 351,520 175,760 87,880 43,940 21,970 10,985 32,956 16,478 8,239 24,718 12,359 37,078 18,539 55,618 27,809 83,428 41,714 20,857 62,572 31,286 15,643 46,930 23,465 70,396

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