λ
Sigma Notebook

7,776,083

7 × 127 × 8747
Deficient Odd Composite

7,776,083 is odd and not a perfect square. Its factorization is 7 × 127 × 8747 and its 8 divisors sum to 8,957,952.

Prime Factor Structure

Factorization String 7 × 127 × 8747
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,957,952
Proper Divisor Sum 1,181,869
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #7776079 ← → #7776127

Radix Representation

Decimal 7776083
Binary 11101101010011101010011 (23 bits)
Octal 0o35523523
Hexadecimal 0x76A753

Divisor Catalog (8)

1 7 127 889 8,747 61,229 1,110,869 7,776,083

Collatz Trajectory (248 steps to reach 1)

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

7,776,083 23,328,250 11,664,125 34,992,376 17,496,188 8,748,094 4,374,047 13,122,142 6,561,071 19,683,214 9,841,607 29,524,822 14,762,411 44,287,234 22,143,617 66,430,852 33,215,426 16,607,713 49,823,140 24,911,570 12,455,785 37,367,356 18,683,678 9,341,839 28,025,518 14,012,759 42,038,278 21,019,139 63,057,418 31,528,709 94,586,128 47,293,064 23,646,532 11,823,266 5,911,633 17,734,900 8,867,450 4,433,725 13,301,176 6,650,588 3,325,294 1,662,647 4,987,942 2,493,971 7,481,914 3,740,957 11,222,872 5,611,436 2,805,718 1,402,859 4,208,578 2,104,289 6,312,868 3,156,434 1,578,217 4,734,652 2,367,326 1,183,663 3,550,990 1,775,495

More profiles

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