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3,750,504

23 × 3 × 31 × 712
Abundant Even Composite

3,750,504 factors as 2^3 × 3 × 31 × 71^2. Its 48 positive divisors give a proper-divisor sum of 6,066,456, so this integer is abundant. The Collatz stopping time is 110 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 31 × 71^2
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 9,816,960
Proper Divisor Sum 6,066,456
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #3750499 ← → #3750511

Radix Representation

Decimal 3750504
Binary 1110010011101001101000 (22 bits)
Octal 0o16235150
Hexadecimal 0x393A68

Divisor Catalog (48)

1 2 3 4 6 8 12 24 31 62 71 93 124 142 186 213 248 284 372 426 568 744 852 1,704 2,201 4,402 5,041 6,603 8,804 10,082 13,206 15,123 17,608 20,164 26,412 30,246 40,328 52,824 60,492 120,984 156,271 312,542 468,813 625,084 937,626 1,250,168 1,875,252 3,750,504

Collatz Trajectory (110 steps to reach 1)

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

3,750,504 1,875,252 937,626 468,813 1,406,440 703,220 351,610 175,805 527,416 263,708 131,854 65,927 197,782 98,891 296,674 148,337 445,012 222,506 111,253 333,760 166,880 83,440 41,720 20,860 10,430 5,215 15,646 7,823 23,470 11,735 35,206 17,603 52,810 26,405 79,216 39,608 19,804 9,902 4,951 14,854 7,427 22,282 11,141 33,424 16,712 8,356 4,178 2,089 6,268 3,134 1,567 4,702 2,351 7,054 3,527 10,582 5,291 15,874 7,937 23,812

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