5,881,470

2 × 3 × 5 × 7² × 4001

Starting at 5,881,470, the Collatz iteration reaches 1 after 214 steps. The first transition is 2940735; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 7^2 × 4001

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 16,424,208

Proper Divisor Sum 10,542,738

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #5881459 ← → #5881487

Radix Representation

Decimal	5881470
Binary	10110011011111001111110 (23 bits)
Octal	0o26337176
Hexadecimal	0x59BE7E

Divisor Catalog (48)

1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 490 735 1,470 4,001 8,002 12,003 20,005 24,006 28,007 40,010 56,014 60,015 84,021 120,030 140,035 168,042 196,049 280,070 392,098 420,105 588,147 840,210 980,245 1,176,294 1,960,490 2,940,735 5,881,470

Collatz Trajectory (214 steps to reach 1)

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

5,881,470 2,940,735 8,822,206 4,411,103 13,233,310 6,616,655 19,849,966 9,924,983 29,774,950 14,887,475 44,662,426 22,331,213 66,993,640 33,496,820 16,748,410 8,374,205 25,122,616 12,561,308 6,280,654 3,140,327 9,420,982 4,710,491 14,131,474 7,065,737 21,197,212 10,598,606 5,299,303 15,897,910 7,948,955 23,846,866 11,923,433 35,770,300 17,885,150 8,942,575 26,827,726 13,413,863 40,241,590 20,120,795 60,362,386 30,181,193 90,543,580 45,271,790 22,635,895 67,907,686 33,953,843 101,861,530 50,930,765 152,792,296 76,396,148 38,198,074 19,099,037 57,297,112 28,648,556 14,324,278 7,162,139 21,486,418 10,743,209 32,229,628 16,114,814 8,057,407

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