λ
Sigma Notebook

3,097,974

2 × 3 × 11 × 73 × 643
Abundant Even Composite

3,097,974 is even and not a perfect square. Its factorization is 2 × 3 × 11 × 73 × 643 and its 32 divisors sum to 6,862,464.

Prime Factor Structure

Factorization String 2 × 3 × 11 × 73 × 643
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,862,464
Proper Divisor Sum 3,764,490
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #3097951 ← → #3097979

Radix Representation

Decimal 3097974
Binary 1011110100010101110110 (22 bits)
Octal 0o13642566
Hexadecimal 0x2F4576

Divisor Catalog (32)

1 2 3 6 11 22 33 66 73 146 219 438 643 803 1,286 1,606 1,929 2,409 3,858 4,818 7,073 14,146 21,219 42,438 46,939 93,878 140,817 281,634 516,329 1,032,658 1,548,987 3,097,974

Collatz Trajectory (257 steps to reach 1)

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

3,097,974 1,548,987 4,646,962 2,323,481 6,970,444 3,485,222 1,742,611 5,227,834 2,613,917 7,841,752 3,920,876 1,960,438 980,219 2,940,658 1,470,329 4,410,988 2,205,494 1,102,747 3,308,242 1,654,121 4,962,364 2,481,182 1,240,591 3,721,774 1,860,887 5,582,662 2,791,331 8,373,994 4,186,997 12,560,992 6,280,496 3,140,248 1,570,124 785,062 392,531 1,177,594 588,797 1,766,392 883,196 441,598 220,799 662,398 331,199 993,598 496,799 1,490,398 745,199 2,235,598 1,117,799 3,353,398 1,676,699 5,030,098 2,515,049 7,545,148 3,772,574 1,886,287 5,658,862 2,829,431 8,488,294 4,244,147

More profiles

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