λ
Harmonic Matrix

9,768,597

3 × 1409 × 2311
Deficient Odd Composite

9,768,597 has digital root 6. The neighboring primes are 9768559 and 9768599; its proper-divisor sum differs from the starting integer by -6,497,514.

Prime Factor Structure

Factorization String 3 × 1409 × 2311
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 13,039,680
Proper Divisor Sum 3,271,083
Digit Sum / Digital Root 51 (Root: 6)
Adjacent Primes #9768559 ← → #9768599

Radix Representation

Decimal 9768597
Binary 100101010000111010010101 (24 bits)
Octal 0o45207225
Hexadecimal 0x950E95

Divisor Catalog (8)

1 3 1,409 2,311 4,227 6,933 3,256,199 9,768,597

Collatz Trajectory (119 steps to reach 1)

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

9,768,597 29,305,792 14,652,896 7,326,448 3,663,224 1,831,612 915,806 457,903 1,373,710 686,855 2,060,566 1,030,283 3,090,850 1,545,425 4,636,276 2,318,138 1,159,069 3,477,208 1,738,604 869,302 434,651 1,303,954 651,977 1,955,932 977,966 488,983 1,466,950 733,475 2,200,426 1,100,213 3,300,640 1,650,320 825,160 412,580 206,290 103,145 309,436 154,718 77,359 232,078 116,039 348,118 174,059 522,178 261,089 783,268 391,634 195,817 587,452 293,726 146,863 440,590 220,295 660,886 330,443 991,330 495,665 1,486,996 743,498 371,749

More profiles

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