1,768,263

3 × 7² × 23 × 523

1,768,263 factors as 3 × 7^2 × 23 × 523. Its 24 positive divisors give a proper-divisor sum of 1,099,065, so this integer is deficient. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 3 × 7^2 × 23 × 523

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 2,867,328

Proper Divisor Sum 1,099,065

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #1768253 ← → #1768303

Radix Representation

Decimal	1768263
Binary	110101111101101000111 (21 bits)
Octal	0o6575507
Hexadecimal	0x1AFB47

Divisor Catalog (24)

Collatz Trajectory (145 steps to reach 1)

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

1,768,263 5,304,790 2,652,395 7,957,186 3,978,593 11,935,780 5,967,890 2,983,945 8,951,836 4,475,918 2,237,959 6,713,878 3,356,939 10,070,818 5,035,409 15,106,228 7,553,114 3,776,557 11,329,672 5,664,836 2,832,418 1,416,209 4,248,628 2,124,314 1,062,157 3,186,472 1,593,236 796,618 398,309 1,194,928 597,464 298,732 149,366 74,683 224,050 112,025 336,076 168,038 84,019 252,058 126,029 378,088 189,044 94,522 47,261 141,784 70,892 35,446 17,723 53,170 26,585 79,756 39,878 19,939 59,818 29,909 89,728 44,864 22,432 11,216

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