λ
Match Zalai

7,533,021

3 × 647 × 3881
Deficient Odd Composite

7,533,021 factors as 3 × 647 × 3881. Its 8 positive divisors give a proper-divisor sum of 2,529,123, so this integer is deficient. The Collatz stopping time is 134 steps.

Prime Factor Structure

Factorization String 3 × 647 × 3881
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,062,144
Proper Divisor Sum 2,529,123
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #7533007 ← → #7533037

Radix Representation

Decimal 7533021
Binary 11100101111000111011101 (23 bits)
Octal 0o34570735
Hexadecimal 0x72F1DD

Divisor Catalog (8)

1 3 647 1,941 3,881 11,643 2,511,007 7,533,021

Collatz Trajectory (134 steps to reach 1)

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

7,533,021 22,599,064 11,299,532 5,649,766 2,824,883 8,474,650 4,237,325 12,711,976 6,355,988 3,177,994 1,588,997 4,766,992 2,383,496 1,191,748 595,874 297,937 893,812 446,906 223,453 670,360 335,180 167,590 83,795 251,386 125,693 377,080 188,540 94,270 47,135 141,406 70,703 212,110 106,055 318,166 159,083 477,250 238,625 715,876 357,938 178,969 536,908 268,454 134,227 402,682 201,341 604,024 302,012 151,006 75,503 226,510 113,255 339,766 169,883 509,650 254,825 764,476 382,238 191,119 573,358 286,679

More profiles

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