3,400,376

2³ × 7 × 41 × 1481

3,400,376 is even and not a perfect square. Its factorization is 2^3 × 7 × 41 × 1481 and its 32 divisors sum to 7,469,280.

Prime Factor Structure

Factorization String 2^3 × 7 × 41 × 1481

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 7,469,280

Proper Divisor Sum 4,068,904

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #3400361 ← → #3400379

Radix Representation

Decimal	3400376
Binary	1100111110001010111000 (22 bits)
Octal	0o14761270
Hexadecimal	0x33E2B8

Divisor Catalog (32)

1 2 4 7 8 14 28 41 56 82 164 287 328 574 1,148 1,481 2,296 2,962 5,924 10,367 11,848 20,734 41,468 60,721 82,936 121,442 242,884 425,047 485,768 850,094 1,700,188 3,400,376

Collatz Trajectory (84 steps to reach 1)

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

3,400,376 1,700,188 850,094 425,047 1,275,142 637,571 1,912,714 956,357 2,869,072 1,434,536 717,268 358,634 179,317 537,952 268,976 134,488 67,244 33,622 16,811 50,434 25,217 75,652 37,826 18,913 56,740 28,370 14,185 42,556 21,278 10,639 31,918 15,959 47,878 23,939 71,818 35,909 107,728 53,864 26,932 13,466 6,733 20,200 10,100 5,050 2,525 7,576 3,788 1,894 947 2,842 1,421 4,264 2,132 1,066 533 1,600 800 400 200 100

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