λ
Sequence Observatory

9,819,103

7 × 89 × 15761
Deficient Odd Composite

Starting at 9,819,103, the Collatz iteration reaches 1 after 145 steps. The first transition is 29457310; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 89 × 15761
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,348,640
Proper Divisor Sum 1,529,537
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #9819101 ← → #9819127

Radix Representation

Decimal 9819103
Binary 100101011101001111011111 (24 bits)
Octal 0o45351737
Hexadecimal 0x95D3DF

Divisor Catalog (8)

1 7 89 623 15,761 110,327 1,402,729 9,819,103

Collatz Trajectory (145 steps to reach 1)

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

9,819,103 29,457,310 14,728,655 44,185,966 22,092,983 66,278,950 33,139,475 99,418,426 49,709,213 149,127,640 74,563,820 37,281,910 18,640,955 55,922,866 27,961,433 83,884,300 41,942,150 20,971,075 62,913,226 31,456,613 94,369,840 47,184,920 23,592,460 11,796,230 5,898,115 17,694,346 8,847,173 26,541,520 13,270,760 6,635,380 3,317,690 1,658,845 4,976,536 2,488,268 1,244,134 622,067 1,866,202 933,101 2,799,304 1,399,652 699,826 349,913 1,049,740 524,870 262,435 787,306 393,653 1,180,960 590,480 295,240 147,620 73,810 36,905 110,716 55,358 27,679 83,038 41,519 124,558 62,279

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