7,462,832

2⁴ × 13 × 35879

7,462,832 has the prime decomposition 2^4 × 13 × 35879. Its 3 distinct prime factors produce 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 13 × 35879

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 15,571,920

Proper Divisor Sum 8,109,088

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #7462823 ← → #7462841

Radix Representation

Decimal	7462832
Binary	11100011101111110110000 (23 bits)
Octal	0o34357660
Hexadecimal	0x71DFB0

Divisor Catalog (20)

1 2 4 8 13 16 26 52 104 208 35,879 71,758 143,516 287,032 466,427 574,064 932,854 1,865,708 3,731,416 7,462,832

Collatz Trajectory (160 steps to reach 1)

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

7,462,832 3,731,416 1,865,708 932,854 466,427 1,399,282 699,641 2,098,924 1,049,462 524,731 1,574,194 787,097 2,361,292 1,180,646 590,323 1,770,970 885,485 2,656,456 1,328,228 664,114 332,057 996,172 498,086 249,043 747,130 373,565 1,120,696 560,348 280,174 140,087 420,262 210,131 630,394 315,197 945,592 472,796 236,398 118,199 354,598 177,299 531,898 265,949 797,848 398,924 199,462 99,731 299,194 149,597 448,792 224,396 112,198 56,099 168,298 84,149 252,448 126,224 63,112 31,556 15,778 7,889

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