6,823,755

3² × 5 × 19 × 23 × 347

6,823,755 factors as 3^2 × 5 × 19 × 23 × 347. Its 48 positive divisors give a proper-divisor sum of 6,205,365, so this integer is deficient. The Collatz stopping time is 77 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 19 × 23 × 347

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 13,029,120

Proper Divisor Sum 6,205,365

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #6823721 ← → #6823757

Radix Representation

Decimal	6823755
Binary	11010000001111101001011 (23 bits)
Octal	0o32017513
Hexadecimal	0x681F4B

Divisor Catalog (48)

1 3 5 9 15 19 23 45 57 69 95 115 171 207 285 345 347 437 855 1,035 1,041 1,311 1,735 2,185 3,123 3,933 5,205 6,555 6,593 7,981 15,615 19,665 19,779 23,943 32,965 39,905 59,337 71,829 98,895 119,715 151,639 296,685 359,145 454,917 758,195 1,364,751 2,274,585 6,823,755

Collatz Trajectory (77 steps to reach 1)

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

6,823,755 20,471,266 10,235,633 30,706,900 15,353,450 7,676,725 23,030,176 11,515,088 5,757,544 2,878,772 1,439,386 719,693 2,159,080 1,079,540 539,770 269,885 809,656 404,828 202,414 101,207 303,622 151,811 455,434 227,717 683,152 341,576 170,788 85,394 42,697 128,092 64,046 32,023 96,070 48,035 144,106 72,053 216,160 108,080 54,040 27,020 13,510 6,755 20,266 10,133 30,400 15,200 7,600 3,800 1,900 950 475 1,426 713 2,140 1,070 535 1,606 803 2,410 1,205

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