λ
Harmonic Matrix

9,671,231

1709 × 5659
Deficient Odd Composite

9,671,231 has digital root 2. The neighboring primes are 9671197 and 9671251; its proper-divisor sum differs from the starting integer by -9,663,862.

Prime Factor Structure

Factorization String 1709 × 5659
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 9,678,600
Proper Divisor Sum 7,369
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #9671197 ← → #9671251

Radix Representation

Decimal 9671231
Binary 100100111001001000111111 (24 bits)
Octal 0o44711077
Hexadecimal 0x93923F

Divisor Catalog (4)

1 1,709 5,659 9,671,231

Collatz Trajectory (238 steps to reach 1)

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

9,671,231 29,013,694 14,506,847 43,520,542 21,760,271 65,280,814 32,640,407 97,921,222 48,960,611 146,881,834 73,440,917 220,322,752 110,161,376 55,080,688 27,540,344 13,770,172 6,885,086 3,442,543 10,327,630 5,163,815 15,491,446 7,745,723 23,237,170 11,618,585 34,855,756 17,427,878 8,713,939 26,141,818 13,070,909 39,212,728 19,606,364 9,803,182 4,901,591 14,704,774 7,352,387 22,057,162 11,028,581 33,085,744 16,542,872 8,271,436 4,135,718 2,067,859 6,203,578 3,101,789 9,305,368 4,652,684 2,326,342 1,163,171 3,489,514 1,744,757 5,234,272 2,617,136 1,308,568 654,284 327,142 163,571 490,714 245,357 736,072 368,036

More profiles

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