λ
Harmonic Matrix

9,626,845

5 × 17 × 37 × 3061
Deficient Odd Composite

9,626,845 has digital root 4. The neighboring primes are 9626839 and 9626849; its proper-divisor sum differs from the starting integer by -6,687,242.

Prime Factor Structure

Factorization String 5 × 17 × 37 × 3061
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 12,566,448
Proper Divisor Sum 2,939,603
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #9626839 ← → #9626849

Radix Representation

Decimal 9626845
Binary 100100101110010011011101 (24 bits)
Octal 0o44562335
Hexadecimal 0x92E4DD

Divisor Catalog (16)

1 5 17 37 85 185 629 3,061 3,145 15,305 52,037 113,257 260,185 566,285 1,925,369 9,626,845

Collatz Trajectory (93 steps to reach 1)

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

9,626,845 28,880,536 14,440,268 7,220,134 3,610,067 10,830,202 5,415,101 16,245,304 8,122,652 4,061,326 2,030,663 6,091,990 3,045,995 9,137,986 4,568,993 13,706,980 6,853,490 3,426,745 10,280,236 5,140,118 2,570,059 7,710,178 3,855,089 11,565,268 5,782,634 2,891,317 8,673,952 4,336,976 2,168,488 1,084,244 542,122 271,061 813,184 406,592 203,296 101,648 50,824 25,412 12,706 6,353 19,060 9,530 4,765 14,296 7,148 3,574 1,787 5,362 2,681 8,044 4,022 2,011 6,034 3,017 9,052 4,526 2,263 6,790 3,395 10,186

More profiles

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