4,177,472

2⁶ × 13 × 5021

4,177,472 is even and not a perfect square. Its factorization is 2^6 × 13 × 5021 and its 28 divisors sum to 8,929,116.

Prime Factor Structure

Factorization String 2^6 × 13 × 5021

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 28

Divisor Sum (σ) 8,929,116

Proper Divisor Sum 4,751,644

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #4177469 ← → #4177477

Radix Representation

Decimal	4177472
Binary	1111111011111001000000 (22 bits)
Octal	0o17737100
Hexadecimal	0x3FBE40

Divisor Catalog (28)

1 2 4 8 13 16 26 32 52 64 104 208 416 832 5,021 10,042 20,084 40,168 65,273 80,336 130,546 160,672 261,092 321,344 522,184 1,044,368 2,088,736 4,177,472

Collatz Trajectory (74 steps to reach 1)

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

4,177,472 2,088,736 1,044,368 522,184 261,092 130,546 65,273 195,820 97,910 48,955 146,866 73,433 220,300 110,150 55,075 165,226 82,613 247,840 123,920 61,960 30,980 15,490 7,745 23,236 11,618 5,809 17,428 8,714 4,357 13,072 6,536 3,268 1,634 817 2,452 1,226 613 1,840 920 460 230 115 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22

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