7,776,286

2 × 7 × 79² × 89

7,776,286 factors as 2 × 7 × 79^2 × 89. Its 24 positive divisors give a proper-divisor sum of 5,877,074, so this integer is deficient. The Collatz stopping time is 248 steps.

Prime Factor Structure

Factorization String 2 × 7 × 79^2 × 89

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 13,653,360

Proper Divisor Sum 5,877,074

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #7776283 ← → #7776287

Radix Representation

Decimal	7776286
Binary	11101101010100000011110 (23 bits)
Octal	0o35524036
Hexadecimal	0x76A81E

Divisor Catalog (24)

Collatz Trajectory (248 steps to reach 1)

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

7,776,286 3,888,143 11,664,430 5,832,215 17,496,646 8,748,323 26,244,970 13,122,485 39,367,456 19,683,728 9,841,864 4,920,932 2,460,466 1,230,233 3,690,700 1,845,350 922,675 2,768,026 1,384,013 4,152,040 2,076,020 1,038,010 519,005 1,557,016 778,508 389,254 194,627 583,882 291,941 875,824 437,912 218,956 109,478 54,739 164,218 82,109 246,328 123,164 61,582 30,791 92,374 46,187 138,562 69,281 207,844 103,922 51,961 155,884 77,942 38,971 116,914 58,457 175,372 87,686 43,843 131,530 65,765 197,296 98,648 49,324

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