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Atlas › Integer Profiles › Node 7,775,883

7,775,883

32 × 19 × 37 × 1229
Deficient Odd Composite

7,775,883 factors as 3^2 × 19 × 37 × 1229. Its 24 positive divisors give a proper-divisor sum of 4,376,517, so this integer is deficient. The Collatz stopping time is 93 steps.

Prime Factor Structure

Factorization String 3^2 × 19 × 37 × 1229
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 12,152,400
Proper Divisor Sum 4,376,517
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #7775881 ← → #7775893

Radix Representation

Decimal 7775883
Binary 11101101010011010001011 (23 bits)
Octal 0o35523213
Hexadecimal 0x76A68B

Divisor Catalog (24)

1 3 9 19 37 57 111 171 333 703 1,229 2,109 3,687 6,327 11,061 23,351 45,473 70,053 136,419 210,159 409,257 863,987 2,591,961 7,775,883

Collatz Trajectory (93 steps to reach 1)

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

7,775,883 23,327,650 11,663,825 34,991,476 17,495,738 8,747,869 26,243,608 13,121,804 6,560,902 3,280,451 9,841,354 4,920,677 14,762,032 7,381,016 3,690,508 1,845,254 922,627 2,767,882 1,383,941 4,151,824 2,075,912 1,037,956 518,978 259,489 778,468 389,234 194,617 583,852 291,926 145,963 437,890 218,945 656,836 328,418 164,209 492,628 246,314 123,157 369,472 184,736 92,368 46,184 23,092 11,546 5,773 17,320 8,660 4,330 2,165 6,496 3,248 1,624 812 406 203 610 305 916 458 229

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