6,440,967

3² × 13 × 55051

6,440,967 factors as 3^2 × 13 × 55051. Its 12 positive divisors give a proper-divisor sum of 3,578,497, so this integer is deficient. The Collatz stopping time is 240 steps.

Prime Factor Structure

Factorization String 3^2 × 13 × 55051

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 10,019,464

Proper Divisor Sum 3,578,497

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #6440953 ← → #6440969

Radix Representation

Decimal	6440967
Binary	11000100100100000000111 (23 bits)
Octal	0o30444007
Hexadecimal	0x624807

Divisor Catalog (12)

1 3 9 13 39 117 55,051 165,153 495,459 715,663 2,146,989 6,440,967

Collatz Trajectory (240 steps to reach 1)

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

6,440,967 19,322,902 9,661,451 28,984,354 14,492,177 43,476,532 21,738,266 10,869,133 32,607,400 16,303,700 8,151,850 4,075,925 12,227,776 6,113,888 3,056,944 1,528,472 764,236 382,118 191,059 573,178 286,589 859,768 429,884 214,942 107,471 322,414 161,207 483,622 241,811 725,434 362,717 1,088,152 544,076 272,038 136,019 408,058 204,029 612,088 306,044 153,022 76,511 229,534 114,767 344,302 172,151 516,454 258,227 774,682 387,341 1,162,024 581,012 290,506 145,253 435,760 217,880 108,940 54,470 27,235 81,706 40,853

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