3,643,016

2³ × 13 × 23 × 1523

3,643,016 has the prime decomposition 2^3 × 13 × 23 × 1523. Its 4 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 13 × 23 × 1523

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 7,680,960

Proper Divisor Sum 4,037,944

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #3643001 ← → #3643033

Radix Representation

Decimal	3643016
Binary	1101111001011010001000 (22 bits)
Octal	0o15713210
Hexadecimal	0x379688

Divisor Catalog (32)

1 2 4 8 13 23 26 46 52 92 104 184 299 598 1,196 1,523 2,392 3,046 6,092 12,184 19,799 35,029 39,598 70,058 79,196 140,116 158,392 280,232 455,377 910,754 1,821,508 3,643,016

Collatz Trajectory (58 steps to reach 1)

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

3,643,016 1,821,508 910,754 455,377 1,366,132 683,066 341,533 1,024,600 512,300 256,150 128,075 384,226 192,113 576,340 288,170 144,085 432,256 216,128 108,064 54,032 27,016 13,508 6,754 3,377 10,132 5,066 2,533 7,600 3,800 1,900 950 475 1,426 713 2,140 1,070 535 1,606 803 2,410 1,205 3,616 1,808 904 452 226 113 340 170 85 256 128 64 32 16 8 4 2 1

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