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Atlas › Integer Profiles › Node 11,069,748

11,069,748

22 × 32 × 43 × 7151
Abundant Even Composite

11,069,748 factors as 2^2 × 3^2 × 43 × 7151. Its 36 positive divisors give a proper-divisor sum of 17,566,860, so this integer is abundant. The Collatz stopping time is 233 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 43 × 7151
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 28,636,608
Proper Divisor Sum 17,566,860
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #11069743 ← → #11069749

Radix Representation

Decimal 11069748
Binary 101010001110100100110100 (24 bits)
Octal 0o52164464
Hexadecimal 0xA8E934

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 43 86 129 172 258 387 516 774 1,548 7,151 14,302 21,453 28,604 42,906 64,359 85,812 128,718 257,436 307,493 614,986 922,479 1,229,972 1,844,958 2,767,437 3,689,916 5,534,874 11,069,748

Collatz Trajectory (233 steps to reach 1)

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

11,069,748 5,534,874 2,767,437 8,302,312 4,151,156 2,075,578 1,037,789 3,113,368 1,556,684 778,342 389,171 1,167,514 583,757 1,751,272 875,636 437,818 218,909 656,728 328,364 164,182 82,091 246,274 123,137 369,412 184,706 92,353 277,060 138,530 69,265 207,796 103,898 51,949 155,848 77,924 38,962 19,481 58,444 29,222 14,611 43,834 21,917 65,752 32,876 16,438 8,219 24,658 12,329 36,988 18,494 9,247 27,742 13,871 41,614 20,807 62,422 31,211 93,634 46,817 140,452 70,226

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