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Atlas › Integer Profiles › Node 11,655,828

11,655,828

22 × 32 × 199 × 1627
Abundant Even Composite

11,655,828 factors as 2^2 × 3^2 × 199 × 1627. Its 36 positive divisors give a proper-divisor sum of 17,973,772, so this integer is abundant. The Collatz stopping time is 153 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 199 × 1627
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 29,629,600
Proper Divisor Sum 17,973,772
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #11655827 ← → #11655887

Radix Representation

Decimal 11655828
Binary 101100011101101010010100 (24 bits)
Octal 0o54355224
Hexadecimal 0xB1DA94

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 199 398 597 796 1,194 1,627 1,791 2,388 3,254 3,582 4,881 6,508 7,164 9,762 14,643 19,524 29,286 58,572 323,773 647,546 971,319 1,295,092 1,942,638 2,913,957 3,885,276 5,827,914 11,655,828

Collatz Trajectory (153 steps to reach 1)

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

11,655,828 5,827,914 2,913,957 8,741,872 4,370,936 2,185,468 1,092,734 546,367 1,639,102 819,551 2,458,654 1,229,327 3,687,982 1,843,991 5,531,974 2,765,987 8,297,962 4,148,981 12,446,944 6,223,472 3,111,736 1,555,868 777,934 388,967 1,166,902 583,451 1,750,354 875,177 2,625,532 1,312,766 656,383 1,969,150 984,575 2,953,726 1,476,863 4,430,590 2,215,295 6,645,886 3,322,943 9,968,830 4,984,415 14,953,246 7,476,623 22,429,870 11,214,935 33,644,806 16,822,403 50,467,210 25,233,605 75,700,816 37,850,408 18,925,204 9,462,602 4,731,301 14,193,904 7,096,952 3,548,476 1,774,238 887,119 2,661,358

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