λ
Match Zalai

7,629,751

31 × 246121
Deficient Odd Composite

7,629,751 factors as 31 × 246121. Its 4 positive divisors give a proper-divisor sum of 246,153, so this integer is deficient. The Collatz stopping time is 173 steps.

Prime Factor Structure

Factorization String 31 × 246121
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,875,904
Proper Divisor Sum 246,153
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #7629749 ← → #7629757

Radix Representation

Decimal 7629751
Binary 11101000110101110110111 (23 bits)
Octal 0o35065667
Hexadecimal 0x746BB7

Divisor Catalog (4)

1 31 246,121 7,629,751

Collatz Trajectory (173 steps to reach 1)

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

7,629,751 22,889,254 11,444,627 34,333,882 17,166,941 51,500,824 25,750,412 12,875,206 6,437,603 19,312,810 9,656,405 28,969,216 14,484,608 7,242,304 3,621,152 1,810,576 905,288 452,644 226,322 113,161 339,484 169,742 84,871 254,614 127,307 381,922 190,961 572,884 286,442 143,221 429,664 214,832 107,416 53,708 26,854 13,427 40,282 20,141 60,424 30,212 15,106 7,553 22,660 11,330 5,665 16,996 8,498 4,249 12,748 6,374 3,187 9,562 4,781 14,344 7,172 3,586 1,793 5,380 2,690 1,345

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