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Atlas › Integer Profiles › Node 11,479,215

11,479,215

3 × 5 × 11 × 29 × 2399
Deficient Odd Composite

11,479,215 factors as 3 × 5 × 11 × 29 × 2399. Its 32 positive divisors give a proper-divisor sum of 9,256,785, so this integer is deficient. The Collatz stopping time is 321 steps.

Prime Factor Structure

Factorization String 3 × 5 × 11 × 29 × 2399
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 20,736,000
Proper Divisor Sum 9,256,785
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #11479189 ← → #11479219

Radix Representation

Decimal 11479215
Binary 101011110010100010101111 (24 bits)
Octal 0o53624257
Hexadecimal 0xAF28AF

Divisor Catalog (32)

1 3 5 11 15 29 33 55 87 145 165 319 435 957 1,595 2,399 4,785 7,197 11,995 26,389 35,985 69,571 79,167 131,945 208,713 347,855 395,835 765,281 1,043,565 2,295,843 3,826,405 11,479,215

Collatz Trajectory (321 steps to reach 1)

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

11,479,215 34,437,646 17,218,823 51,656,470 25,828,235 77,484,706 38,742,353 116,227,060 58,113,530 29,056,765 87,170,296 43,585,148 21,792,574 10,896,287 32,688,862 16,344,431 49,033,294 24,516,647 73,549,942 36,774,971 110,324,914 55,162,457 165,487,372 82,743,686 41,371,843 124,115,530 62,057,765 186,173,296 93,086,648 46,543,324 23,271,662 11,635,831 34,907,494 17,453,747 52,361,242 26,180,621 78,541,864 39,270,932 19,635,466 9,817,733 29,453,200 14,726,600 7,363,300 3,681,650 1,840,825 5,522,476 2,761,238 1,380,619 4,141,858 2,070,929 6,212,788 3,106,394 1,553,197 4,659,592 2,329,796 1,164,898 582,449 1,747,348 873,674 436,837

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