9,967,399

13 × 31 × 24733

For 9,967,399, the 8 positive divisors have a total of 11,080,832. Removing 9,967,399 leaves 1,113,433, which gives the deficient classification.

Prime Factor Structure

Factorization String 13 × 31 × 24733

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 11,080,832

Proper Divisor Sum 1,113,433

Digit Sum / Digital Root 52 (Root: 7)

Adjacent Primes #9967379 ← → #9967409

Radix Representation

Decimal	9967399
Binary	100110000001011100100111 (24 bits)
Octal	0o46013447
Hexadecimal	0x981727

Divisor Catalog (8)

1 13 31 403 24,733 321,529 766,723 9,967,399

Collatz Trajectory (207 steps to reach 1)

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

9,967,399 29,902,198 14,951,099 44,853,298 22,426,649 67,279,948 33,639,974 16,819,987 50,459,962 25,229,981 75,689,944 37,844,972 18,922,486 9,461,243 28,383,730 14,191,865 42,575,596 21,287,798 10,643,899 31,931,698 15,965,849 47,897,548 23,948,774 11,974,387 35,923,162 17,961,581 53,884,744 26,942,372 13,471,186 6,735,593 20,206,780 10,103,390 5,051,695 15,155,086 7,577,543 22,732,630 11,366,315 34,098,946 17,049,473 51,148,420 25,574,210 12,787,105 38,361,316 19,180,658 9,590,329 28,770,988 14,385,494 7,192,747 21,578,242 10,789,121 32,367,364 16,183,682 8,091,841 24,275,524 12,137,762 6,068,881 18,206,644 9,103,322 4,551,661 13,654,984

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