3,643,408

2⁴ × 61 × 3733

3,643,408 has digital root 1. The neighboring primes are 3643403 and 3643411; its proper-divisor sum differs from the starting integer by -110,068.

Prime Factor Structure

Factorization String 2^4 × 61 × 3733

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 7,176,748

Proper Divisor Sum 3,533,340

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #3643403 ← → #3643411

Radix Representation

Decimal	3643408
Binary	1101111001100000010000 (22 bits)
Octal	0o15714020
Hexadecimal	0x379810

Divisor Catalog (20)

1 2 4 8 16 61 122 244 488 976 3,733 7,466 14,932 29,864 59,728 227,713 455,426 910,852 1,821,704 3,643,408

Collatz Trajectory (84 steps to reach 1)

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

3,643,408 1,821,704 910,852 455,426 227,713 683,140 341,570 170,785 512,356 256,178 128,089 384,268 192,134 96,067 288,202 144,101 432,304 216,152 108,076 54,038 27,019 81,058 40,529 121,588 60,794 30,397 91,192 45,596 22,798 11,399 34,198 17,099 51,298 25,649 76,948 38,474 19,237 57,712 28,856 14,428 7,214 3,607 10,822 5,411 16,234 8,117 24,352 12,176 6,088 3,044 1,522 761 2,284 1,142 571 1,714 857 2,572 1,286 643

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