3,937,472

2⁶ × 7 × 11 × 17 × 47

3,937,472 factors as 2^6 × 7 × 11 × 17 × 47. Its 112 positive divisors give a proper-divisor sum of 6,596,416, so this integer is abundant. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 2^6 × 7 × 11 × 17 × 47

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 112

Divisor Sum (σ) 10,533,888

Proper Divisor Sum 6,596,416

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #3937469 ← → #3937477

Radix Representation

Decimal	3937472
Binary	1111000001010011000000 (22 bits)
Octal	0o17012300
Hexadecimal	0x3C14C0

Divisor Catalog (60 of 112)

1 2 4 7 8 11 14 16 17 22 28 32 34 44 47 56 64 68 77 88 94 112 119 136 154 176 187 188 224 238 272 308 329 352 374 376 448 476 517 544 616 658 704 748 752 799 952 1,034 1,088 1,232 1,309 1,316 1,496 1,504 1,598 1,904 2,068 2,464 2,618 2,632

Collatz Trajectory (123 steps to reach 1)

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

3,937,472 1,968,736 984,368 492,184 246,092 123,046 61,523 184,570 92,285 276,856 138,428 69,214 34,607 103,822 51,911 155,734 77,867 233,602 116,801 350,404 175,202 87,601 262,804 131,402 65,701 197,104 98,552 49,276 24,638 12,319 36,958 18,479 55,438 27,719 83,158 41,579 124,738 62,369 187,108 93,554 46,777 140,332 70,166 35,083 105,250 52,625 157,876 78,938 39,469 118,408 59,204 29,602 14,801 44,404 22,202 11,101 33,304 16,652 8,326 4,163

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