λ
Sigma Notebook

3,412,945

5 × 31 × 97 × 227
Deficient Odd Composite

3,412,945 is odd and not a perfect square. Its factorization is 5 × 31 × 97 × 227 and its 16 divisors sum to 4,290,048.

Prime Factor Structure

Factorization String 5 × 31 × 97 × 227
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,290,048
Proper Divisor Sum 877,103
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #3412931 ← → #3412949

Radix Representation

Decimal 3412945
Binary 1101000001001111010001 (22 bits)
Octal 0o15011721
Hexadecimal 0x3413D1

Divisor Catalog (16)

1 5 31 97 155 227 485 1,135 3,007 7,037 15,035 22,019 35,185 110,095 682,589 3,412,945

Collatz Trajectory (76 steps to reach 1)

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

3,412,945 10,238,836 5,119,418 2,559,709 7,679,128 3,839,564 1,919,782 959,891 2,879,674 1,439,837 4,319,512 2,159,756 1,079,878 539,939 1,619,818 809,909 2,429,728 1,214,864 607,432 303,716 151,858 75,929 227,788 113,894 56,947 170,842 85,421 256,264 128,132 64,066 32,033 96,100 48,050 24,025 72,076 36,038 18,019 54,058 27,029 81,088 40,544 20,272 10,136 5,068 2,534 1,267 3,802 1,901 5,704 2,852 1,426 713 2,140 1,070 535 1,606 803 2,410 1,205 3,616

More profiles

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