3,652,104

2³ × 3 × 19 × 8009

3,652,104 has the prime decomposition 2^3 × 3 × 19 × 8009. Its 4 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 19 × 8009

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 9,612,000

Proper Divisor Sum 5,959,896

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #3652097 ← → #3652151

Radix Representation

Decimal	3652104
Binary	1101111011101000001000 (22 bits)
Octal	0o15735010
Hexadecimal	0x37BA08

Divisor Catalog (32)

1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 8,009 16,018 24,027 32,036 48,054 64,072 96,108 152,171 192,216 304,342 456,513 608,684 913,026 1,217,368 1,826,052 3,652,104

Collatz Trajectory (58 steps to reach 1)

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

3,652,104 1,826,052 913,026 456,513 1,369,540 684,770 342,385 1,027,156 513,578 256,789 770,368 385,184 192,592 96,296 48,148 24,074 12,037 36,112 18,056 9,028 4,514 2,257 6,772 3,386 1,693 5,080 2,540 1,270 635 1,906 953 2,860 1,430 715 2,146 1,073 3,220 1,610 805 2,416 1,208 604 302 151 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

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