7,888,751

13² × 46679

7,888,751 factors as 13^2 × 46679. Its 6 positive divisors give a proper-divisor sum of 653,689, so this integer is deficient. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 13^2 × 46679

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 8,542,440

Proper Divisor Sum 653,689

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #7888729 ← → #7888757

Radix Representation

Decimal	7888751
Binary	11110000101111101101111 (23 bits)
Octal	0o36057557
Hexadecimal	0x785F6F

Divisor Catalog (6)

1 13 169 46,679 606,827 7,888,751

Collatz Trajectory (142 steps to reach 1)

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

7,888,751 23,666,254 11,833,127 35,499,382 17,749,691 53,249,074 26,624,537 79,873,612 39,936,806 19,968,403 59,905,210 29,952,605 89,857,816 44,928,908 22,464,454 11,232,227 33,696,682 16,848,341 50,545,024 25,272,512 12,636,256 6,318,128 3,159,064 1,579,532 789,766 394,883 1,184,650 592,325 1,776,976 888,488 444,244 222,122 111,061 333,184 166,592 83,296 41,648 20,824 10,412 5,206 2,603 7,810 3,905 11,716 5,858 2,929 8,788 4,394 2,197 6,592 3,296 1,648 824 412 206 103 310 155 466 233

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