4,402,608

2⁴ × 3 × 7 × 13103

4,402,608 is even and not a perfect square. Its factorization is 2^4 × 3 × 7 × 13103 and its 40 divisors sum to 12,999,168.

Prime Factor Structure

Factorization String 2^4 × 3 × 7 × 13103

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 12,999,168

Proper Divisor Sum 8,596,560

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #4402597 ← → #4402613

Radix Representation

Decimal	4402608
Binary	10000110010110110110000 (23 bits)
Octal	0o20626660
Hexadecimal	0x432DB0

Divisor Catalog (40)

1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 13,103 26,206 39,309 52,412 78,618 91,721 104,824 157,236 183,442 209,648 275,163 314,472 366,884 550,326 628,944 733,768 1,100,652 1,467,536 2,201,304 4,402,608

Collatz Trajectory (149 steps to reach 1)

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

4,402,608 2,201,304 1,100,652 550,326 275,163 825,490 412,745 1,238,236 619,118 309,559 928,678 464,339 1,393,018 696,509 2,089,528 1,044,764 522,382 261,191 783,574 391,787 1,175,362 587,681 1,763,044 881,522 440,761 1,322,284 661,142 330,571 991,714 495,857 1,487,572 743,786 371,893 1,115,680 557,840 278,920 139,460 69,730 34,865 104,596 52,298 26,149 78,448 39,224 19,612 9,806 4,903 14,710 7,355 22,066 11,033 33,100 16,550 8,275 24,826 12,413 37,240 18,620 9,310 4,655

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