λ
Sigma Notebook

7,916,590

2 × 5 × 11 × 79 × 911
Deficient Even Composite

7,916,590 is even and not a perfect square. Its factorization is 2 × 5 × 11 × 79 × 911 and its 32 divisors sum to 15,759,360.

Prime Factor Structure

Factorization String 2 × 5 × 11 × 79 × 911
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 15,759,360
Proper Divisor Sum 7,842,770
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #7916569 ← → #7916591

Radix Representation

Decimal 7916590
Binary 11110001100110000101110 (23 bits)
Octal 0o36146056
Hexadecimal 0x78CC2E

Divisor Catalog (32)

1 2 5 10 11 22 55 79 110 158 395 790 869 911 1,738 1,822 4,345 4,555 8,690 9,110 10,021 20,042 50,105 71,969 100,210 143,938 359,845 719,690 791,659 1,583,318 3,958,295 7,916,590

Collatz Trajectory (98 steps to reach 1)

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

7,916,590 3,958,295 11,874,886 5,937,443 17,812,330 8,906,165 26,718,496 13,359,248 6,679,624 3,339,812 1,669,906 834,953 2,504,860 1,252,430 626,215 1,878,646 939,323 2,817,970 1,408,985 4,226,956 2,113,478 1,056,739 3,170,218 1,585,109 4,755,328 2,377,664 1,188,832 594,416 297,208 148,604 74,302 37,151 111,454 55,727 167,182 83,591 250,774 125,387 376,162 188,081 564,244 282,122 141,061 423,184 211,592 105,796 52,898 26,449 79,348 39,674 19,837 59,512 29,756 14,878 7,439 22,318 11,159 33,478 16,739 50,218

More profiles

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