λ
Ratio Atlas

6,828,031

7 × 975433
Deficient Odd Composite

6,828,031 factors as 7 × 975433. Its 4 positive divisors give a proper-divisor sum of 975,441, so this integer is deficient. The Collatz stopping time is 147 steps.

Prime Factor Structure

Factorization String 7 × 975433
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,803,472
Proper Divisor Sum 975,441
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #6828023 ← → #6828053

Radix Representation

Decimal 6828031
Binary 11010000010111111111111 (23 bits)
Octal 0o32027777
Hexadecimal 0x682FFF

Divisor Catalog (4)

Collatz Trajectory (147 steps to reach 1)

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

6,828,031 20,484,094 10,242,047 30,726,142 15,363,071 46,089,214 23,044,607 69,133,822 34,566,911 103,700,734 51,850,367 155,551,102 77,775,551 233,326,654 116,663,327 349,989,982 174,994,991 524,984,974 262,492,487 787,477,462 393,738,731 1,181,216,194 590,608,097 1,771,824,292 885,912,146 442,956,073 1,328,868,220 664,434,110 332,217,055 996,651,166 498,325,583 1,494,976,750 747,488,375 2,242,465,126 1,121,232,563 3,363,697,690 1,681,848,845 5,045,546,536 2,522,773,268 1,261,386,634 630,693,317 1,892,079,952 946,039,976 473,019,988 236,509,994 118,254,997 354,764,992 177,382,496 88,691,248 44,345,624 22,172,812 11,086,406 5,543,203 16,629,610 8,314,805 24,944,416 12,472,208 6,236,104 3,118,052 1,559,026

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