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3,670,752

25 × 3 × 38237
Abundant Even Composite

3,670,752 factors as 2^5 × 3 × 38237. Its 24 positive divisors give a proper-divisor sum of 5,965,224, so this integer is abundant. The Collatz stopping time is 84 steps.

Prime Factor Structure

Factorization String 2^5 × 3 × 38237
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 9,635,976
Proper Divisor Sum 5,965,224
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3670739 ← → #3670757

Radix Representation

Decimal 3670752
Binary 1110000000001011100000 (22 bits)
Octal 0o16001340
Hexadecimal 0x3802E0

Divisor Catalog (24)

1 2 3 4 6 8 12 16 24 32 48 96 38,237 76,474 114,711 152,948 229,422 305,896 458,844 611,792 917,688 1,223,584 1,835,376 3,670,752

Collatz Trajectory (84 steps to reach 1)

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

3,670,752 1,835,376 917,688 458,844 229,422 114,711 344,134 172,067 516,202 258,101 774,304 387,152 193,576 96,788 48,394 24,197 72,592 36,296 18,148 9,074 4,537 13,612 6,806 3,403 10,210 5,105 15,316 7,658 3,829 11,488 5,744 2,872 1,436 718 359 1,078 539 1,618 809 2,428 1,214 607 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300 650

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