5,352,672

2⁵ × 3 × 13 × 4289

5,352,672 has the prime decomposition 2^5 × 3 × 13 × 4289. Its 4 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 3 × 13 × 4289

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 15,135,120

Proper Divisor Sum 9,782,448

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #5352653 ← → #5352691

Radix Representation

Decimal	5352672
Binary	10100011010110011100000 (23 bits)
Octal	0o24326340
Hexadecimal	0x51ACE0

Divisor Catalog (48)

1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1,248 4,289 8,578 12,867 17,156 25,734 34,312 51,468 55,757 68,624 102,936 111,514 137,248 167,271 205,872 223,028 334,542 411,744 446,056 669,084 892,112 1,338,168 1,784,224 2,676,336 5,352,672

Collatz Trajectory (201 steps to reach 1)

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

5,352,672 2,676,336 1,338,168 669,084 334,542 167,271 501,814 250,907 752,722 376,361 1,129,084 564,542 282,271 846,814 423,407 1,270,222 635,111 1,905,334 952,667 2,858,002 1,429,001 4,287,004 2,143,502 1,071,751 3,215,254 1,607,627 4,822,882 2,411,441 7,234,324 3,617,162 1,808,581 5,425,744 2,712,872 1,356,436 678,218 339,109 1,017,328 508,664 254,332 127,166 63,583 190,750 95,375 286,126 143,063 429,190 214,595 643,786 321,893 965,680 482,840 241,420 120,710 60,355 181,066 90,533 271,600 135,800 67,900 33,950

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