3,925,530

2 × 3³ × 5 × 7 × 31 × 67

3,925,530 factors as 2 × 3^3 × 5 × 7 × 31 × 67. Its 128 positive divisors give a proper-divisor sum of 8,608,230, so this integer is abundant. The Collatz stopping time is 154 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 5 × 7 × 31 × 67

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 12,533,760

Proper Divisor Sum 8,608,230

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3925489 ← → #3925541

Radix Representation

Decimal	3925530
Binary	1110111110011000011010 (22 bits)
Octal	0o16763032
Hexadecimal	0x3BE61A

Divisor Catalog (60 of 128)

1 2 3 5 6 7 9 10 14 15 18 21 27 30 31 35 42 45 54 62 63 67 70 90 93 105 126 134 135 155 186 189 201 210 217 270 279 310 315 335 378 402 434 465 469 558 603 630 651 670 837 930 938 945 1,005 1,085 1,206 1,302 1,395 1,407

Collatz Trajectory (154 steps to reach 1)

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

3,925,530 1,962,765 5,888,296 2,944,148 1,472,074 736,037 2,208,112 1,104,056 552,028 276,014 138,007 414,022 207,011 621,034 310,517 931,552 465,776 232,888 116,444 58,222 29,111 87,334 43,667 131,002 65,501 196,504 98,252 49,126 24,563 73,690 36,845 110,536 55,268 27,634 13,817 41,452 20,726 10,363 31,090 15,545 46,636 23,318 11,659 34,978 17,489 52,468 26,234 13,117 39,352 19,676 9,838 4,919 14,758 7,379 22,138 11,069 33,208 16,604 8,302 4,151

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