λ
Harmonic Matrix

9,003,917

13 × 659 × 1051
Deficient Odd Composite

9,003,917 has digital root 2. The neighboring primes are 9003901 and 9003959; its proper-divisor sum differs from the starting integer by -8,287,354.

Prime Factor Structure

Factorization String 13 × 659 × 1051
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,720,480
Proper Divisor Sum 716,563
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #9003901 ← → #9003959

Radix Representation

Decimal 9003917
Binary 100010010110001110001101 (24 bits)
Octal 0o42261615
Hexadecimal 0x89638D

Divisor Catalog (8)

1 13 659 1,051 8,567 13,663 692,609 9,003,917

Collatz Trajectory (137 steps to reach 1)

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

9,003,917 27,011,752 13,505,876 6,752,938 3,376,469 10,129,408 5,064,704 2,532,352 1,266,176 633,088 316,544 158,272 79,136 39,568 19,784 9,892 4,946 2,473 7,420 3,710 1,855 5,566 2,783 8,350 4,175 12,526 6,263 18,790 9,395 28,186 14,093 42,280 21,140 10,570 5,285 15,856 7,928 3,964 1,982 991 2,974 1,487 4,462 2,231 6,694 3,347 10,042 5,021 15,064 7,532 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179 9,538

More profiles

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