λ
Sigma Notebook

7,811,962

2 × 29 × 3672
Deficient Even Composite

7,811,962 is even and not a perfect square. Its factorization is 2 × 29 × 367^2 and its 12 divisors sum to 12,155,130.

Prime Factor Structure

Factorization String 2 × 29 × 367^2
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 12,155,130
Proper Divisor Sum 4,343,168
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #7811957 ← → #7811971

Radix Representation

Decimal 7811962
Binary 11101110011001101111010 (23 bits)
Octal 0o35631572
Hexadecimal 0x77337A

Divisor Catalog (12)

1 2 29 58 367 734 10,643 21,286 134,689 269,378 3,905,981 7,811,962

Collatz Trajectory (124 steps to reach 1)

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

7,811,962 3,905,981 11,717,944 5,858,972 2,929,486 1,464,743 4,394,230 2,197,115 6,591,346 3,295,673 9,887,020 4,943,510 2,471,755 7,415,266 3,707,633 11,122,900 5,561,450 2,780,725 8,342,176 4,171,088 2,085,544 1,042,772 521,386 260,693 782,080 391,040 195,520 97,760 48,880 24,440 12,220 6,110 3,055 9,166 4,583 13,750 6,875 20,626 10,313 30,940 15,470 7,735 23,206 11,603 34,810 17,405 52,216 26,108 13,054 6,527 19,582 9,791 29,374 14,687 44,062 22,031 66,094 33,047 99,142 49,571

More profiles

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