6,731,593

11² × 55633

6,731,593 factors as 11^2 × 55633. Its 6 positive divisors give a proper-divisor sum of 667,729, so this integer is deficient. The Collatz stopping time is 315 steps.

Prime Factor Structure

Factorization String 11^2 × 55633

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 7,399,322

Proper Divisor Sum 667,729

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #6731591 ← → #6731597

Radix Representation

Decimal	6731593
Binary	11001101011011101001001 (23 bits)
Octal	0o31533511
Hexadecimal	0x66B749

Divisor Catalog (6)

1 11 121 55,633 611,963 6,731,593

Collatz Trajectory (315 steps to reach 1)

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

6,731,593 20,194,780 10,097,390 5,048,695 15,146,086 7,573,043 22,719,130 11,359,565 34,078,696 17,039,348 8,519,674 4,259,837 12,779,512 6,389,756 3,194,878 1,597,439 4,792,318 2,396,159 7,188,478 3,594,239 10,782,718 5,391,359 16,174,078 8,087,039 24,261,118 12,130,559 36,391,678 18,195,839 54,587,518 27,293,759 81,881,278 40,940,639 122,821,918 61,410,959 184,232,878 92,116,439 276,349,318 138,174,659 414,523,978 207,261,989 621,785,968 310,892,984 155,446,492 77,723,246 38,861,623 116,584,870 58,292,435 174,877,306 87,438,653 262,315,960 131,157,980 65,578,990 32,789,495 98,368,486 49,184,243 147,552,730 73,776,365 221,329,096 110,664,548 55,332,274

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