3,937,248

2⁵ × 3⁴ × 7² × 31

3,937,248 factors as 2^5 × 3^4 × 7^2 × 31. Its 180 positive divisors give a proper-divisor sum of 9,967,104, so this integer is abundant. The Collatz stopping time is 110 steps.

Prime Factor Structure

Factorization String 2^5 × 3^4 × 7^2 × 31

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 180

Divisor Sum (σ) 13,904,352

Proper Divisor Sum 9,967,104

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3937229 ← → #3937249

Radix Representation

Decimal	3937248
Binary	1111000001001111100000 (22 bits)
Octal	0o17011740
Hexadecimal	0x3C13E0

Divisor Catalog (60 of 180)

1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 31 32 36 42 48 49 54 56 62 63 72 81 84 93 96 98 108 112 124 126 144 147 162 168 186 189 196 216 217 224 248 252 279 288 294 324 336 372 378 392 432 434 441 496

Collatz Trajectory (110 steps to reach 1)

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

3,937,248 1,968,624 984,312 492,156 246,078 123,039 369,118 184,559 553,678 276,839 830,518 415,259 1,245,778 622,889 1,868,668 934,334 467,167 1,401,502 700,751 2,102,254 1,051,127 3,153,382 1,576,691 4,730,074 2,365,037 7,095,112 3,547,556 1,773,778 886,889 2,660,668 1,330,334 665,167 1,995,502 997,751 2,993,254 1,496,627 4,489,882 2,244,941 6,734,824 3,367,412 1,683,706 841,853 2,525,560 1,262,780 631,390 315,695 947,086 473,543 1,420,630 710,315 2,130,946 1,065,473 3,196,420 1,598,210 799,105 2,397,316 1,198,658 599,329 1,797,988 898,994

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #3,937,247 Browse Full Index Next Integer #3,937,249 →