λ
Harmonic Matrix

9,967,207

103 × 96769
Deficient Odd Composite

9,967,207 has digital root 4. The neighboring primes are 9967189 and 9967249; its proper-divisor sum differs from the starting integer by -9,870,334.

Prime Factor Structure

Factorization String 103 × 96769
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 10,064,080
Proper Divisor Sum 96,873
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #9967189 ← → #9967249

Radix Representation

Decimal 9967207
Binary 100110000001011001100111 (24 bits)
Octal 0o46013147
Hexadecimal 0x981667

Divisor Catalog (4)

1 103 96,769 9,967,207

Collatz Trajectory (101 steps to reach 1)

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

9,967,207 29,901,622 14,950,811 44,852,434 22,426,217 67,278,652 33,639,326 16,819,663 50,458,990 25,229,495 75,688,486 37,844,243 113,532,730 56,766,365 170,299,096 85,149,548 42,574,774 21,287,387 63,862,162 31,931,081 95,793,244 47,896,622 23,948,311 71,844,934 35,922,467 107,767,402 53,883,701 161,651,104 80,825,552 40,412,776 20,206,388 10,103,194 5,051,597 15,154,792 7,577,396 3,788,698 1,894,349 5,683,048 2,841,524 1,420,762 710,381 2,131,144 1,065,572 532,786 266,393 799,180 399,590 199,795 599,386 299,693 899,080 449,540 224,770 112,385 337,156 168,578 84,289 252,868 126,434 63,217

More profiles

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