λ
Sigma Notebook

9,137,535

3 × 5 × 11 × 79 × 701
Deficient Odd Composite

9,137,535 is odd and not a perfect square. Its factorization is 3 × 5 × 11 × 79 × 701 and its 32 divisors sum to 16,174,080.

Prime Factor Structure

Factorization String 3 × 5 × 11 × 79 × 701
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,174,080
Proper Divisor Sum 7,036,545
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9137533 ← → #9137539

Radix Representation

Decimal 9137535
Binary 100010110110110101111111 (24 bits)
Octal 0o42666577
Hexadecimal 0x8B6D7F

Divisor Catalog (32)

1 3 5 11 15 33 55 79 165 237 395 701 869 1,185 2,103 2,607 3,505 4,345 7,711 10,515 13,035 23,133 38,555 55,379 115,665 166,137 276,895 609,169 830,685 1,827,507 3,045,845 9,137,535

Collatz Trajectory (163 steps to reach 1)

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

9,137,535 27,412,606 13,706,303 41,118,910 20,559,455 61,678,366 30,839,183 92,517,550 46,258,775 138,776,326 69,388,163 208,164,490 104,082,245 312,246,736 156,123,368 78,061,684 39,030,842 19,515,421 58,546,264 29,273,132 14,636,566 7,318,283 21,954,850 10,977,425 32,932,276 16,466,138 8,233,069 24,699,208 12,349,604 6,174,802 3,087,401 9,262,204 4,631,102 2,315,551 6,946,654 3,473,327 10,419,982 5,209,991 15,629,974 7,814,987 23,444,962 11,722,481 35,167,444 17,583,722 8,791,861 26,375,584 13,187,792 6,593,896 3,296,948 1,648,474 824,237 2,472,712 1,236,356 618,178 309,089 927,268 463,634 231,817 695,452 347,726

More profiles

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