6,251,141

13² × 47 × 787

6,251,141 factors as 13^2 × 47 × 787. Its 12 positive divisors give a proper-divisor sum of 670,651, so this integer is deficient. The Collatz stopping time is 320 steps.

Prime Factor Structure

Factorization String 13^2 × 47 × 787

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,921,792

Proper Divisor Sum 670,651

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #6251137 ← → #6251149

Radix Representation

Decimal	6251141
Binary	10111110110001010000101 (23 bits)
Octal	0o27661205
Hexadecimal	0x5F6285

Divisor Catalog (12)

1 13 47 169 611 787 7,943 10,231 36,989 133,003 480,857 6,251,141

Collatz Trajectory (320 steps to reach 1)

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

6,251,141 18,753,424 9,376,712 4,688,356 2,344,178 1,172,089 3,516,268 1,758,134 879,067 2,637,202 1,318,601 3,955,804 1,977,902 988,951 2,966,854 1,483,427 4,450,282 2,225,141 6,675,424 3,337,712 1,668,856 834,428 417,214 208,607 625,822 312,911 938,734 469,367 1,408,102 704,051 2,112,154 1,056,077 3,168,232 1,584,116 792,058 396,029 1,188,088 594,044 297,022 148,511 445,534 222,767 668,302 334,151 1,002,454 501,227 1,503,682 751,841 2,255,524 1,127,762 563,881 1,691,644 845,822 422,911 1,268,734 634,367 1,903,102 951,551 2,854,654 1,427,327

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