3,767,840

2⁵ × 5 × 23549

3,767,840 is even and not a perfect square. Its factorization is 2^5 × 5 × 23549 and its 24 divisors sum to 8,901,900.

Prime Factor Structure

Factorization String 2^5 × 5 × 23549

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 8,901,900

Proper Divisor Sum 5,134,060

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #3767831 ← → #3767851

Radix Representation

Decimal	3767840
Binary	1110010111111000100000 (22 bits)
Octal	0o16277040
Hexadecimal	0x397E20

Divisor Catalog (24)

1 2 4 5 8 10 16 20 32 40 80 160 23,549 47,098 94,196 117,745 188,392 235,490 376,784 470,980 753,568 941,960 1,883,920 3,767,840

Collatz Trajectory (172 steps to reach 1)

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

3,767,840 1,883,920 941,960 470,980 235,490 117,745 353,236 176,618 88,309 264,928 132,464 66,232 33,116 16,558 8,279 24,838 12,419 37,258 18,629 55,888 27,944 13,972 6,986 3,493 10,480 5,240 2,620 1,310 655 1,966 983 2,950 1,475 4,426 2,213 6,640 3,320 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333 4,000

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