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Atlas › Integer Profiles › Node 7,555,834

7,555,834

2 × 11 × 13 × 29 × 911
Deficient Even Composite

7,555,834 factors as 2 × 11 × 13 × 29 × 911. Its 32 positive divisors give a proper-divisor sum of 6,233,606, so this integer is deficient. The Collatz stopping time is 155 steps.

Prime Factor Structure

Factorization String 2 × 11 × 13 × 29 × 911
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,789,440
Proper Divisor Sum 6,233,606
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #7555829 ← → #7555841

Radix Representation

Decimal 7555834
Binary 11100110100101011111010 (23 bits)
Octal 0o34645372
Hexadecimal 0x734AFA

Divisor Catalog (32)

1 2 11 13 22 26 29 58 143 286 319 377 638 754 911 1,822 4,147 8,294 10,021 11,843 20,042 23,686 26,419 52,838 130,273 260,546 290,609 343,447 581,218 686,894 3,777,917 7,555,834

Collatz Trajectory (155 steps to reach 1)

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

7,555,834 3,777,917 11,333,752 5,666,876 2,833,438 1,416,719 4,250,158 2,125,079 6,375,238 3,187,619 9,562,858 4,781,429 14,344,288 7,172,144 3,586,072 1,793,036 896,518 448,259 1,344,778 672,389 2,017,168 1,008,584 504,292 252,146 126,073 378,220 189,110 94,555 283,666 141,833 425,500 212,750 106,375 319,126 159,563 478,690 239,345 718,036 359,018 179,509 538,528 269,264 134,632 67,316 33,658 16,829 50,488 25,244 12,622 6,311 18,934 9,467 28,402 14,201 42,604 21,302 10,651 31,954 15,977 47,932

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