13,878,340

2² × 5 × 7 × 99131

13,878,340 factors as 2^2 × 5 × 7 × 99131. Its 24 positive divisors give a proper-divisor sum of 19,430,012, so this integer is abundant. The Collatz stopping time is 135 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 99131

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 33,308,352

Proper Divisor Sum 19,430,012

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #13878317 ← → #13878349

Radix Representation

Decimal	13878340
Binary	110100111100010001000100 (24 bits)
Octal	0o64742104
Hexadecimal	0xD3C444

Divisor Catalog (24)

Collatz Trajectory (135 steps to reach 1)

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

13,878,340 6,939,170 3,469,585 10,408,756 5,204,378 2,602,189 7,806,568 3,903,284 1,951,642 975,821 2,927,464 1,463,732 731,866 365,933 1,097,800 548,900 274,450 137,225 411,676 205,838 102,919 308,758 154,379 463,138 231,569 694,708 347,354 173,677 521,032 260,516 130,258 65,129 195,388 97,694 48,847 146,542 73,271 219,814 109,907 329,722 164,861 494,584 247,292 123,646 61,823 185,470 92,735 278,206 139,103 417,310 208,655 625,966 312,983 938,950 469,475 1,408,426 704,213 2,112,640 1,056,320 528,160

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