λ
Math Directory

5,124,832

25 × 19 × 8429
Abundant Even Composite

5,124,832 factors as 2^5 × 19 × 8429. Its 24 positive divisors give a proper-divisor sum of 5,496,968, so this integer is abundant. The Collatz stopping time is 175 steps.

Prime Factor Structure

Factorization String 2^5 × 19 × 8429
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 10,621,800
Proper Divisor Sum 5,496,968
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #5124829 ← → #5124839

Radix Representation

Decimal 5124832
Binary 10011100011001011100000 (23 bits)
Octal 0o23431340
Hexadecimal 0x4E32E0

Divisor Catalog (24)

1 2 4 8 16 19 32 38 76 152 304 608 8,429 16,858 33,716 67,432 134,864 160,151 269,728 320,302 640,604 1,281,208 2,562,416 5,124,832

Collatz Trajectory (175 steps to reach 1)

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

5,124,832 2,562,416 1,281,208 640,604 320,302 160,151 480,454 240,227 720,682 360,341 1,081,024 540,512 270,256 135,128 67,564 33,782 16,891 50,674 25,337 76,012 38,006 19,003 57,010 28,505 85,516 42,758 21,379 64,138 32,069 96,208 48,104 24,052 12,026 6,013 18,040 9,020 4,510 2,255 6,766 3,383 10,150 5,075 15,226 7,613 22,840 11,420 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458 7,229 21,688 10,844 5,422

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