7,017,440

2⁵ × 5 × 61 × 719

7,017,440 has the prime decomposition 2^5 × 5 × 61 × 719. Its 4 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 5 × 61 × 719

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 16,873,920

Proper Divisor Sum 9,856,480

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #7017431 ← → #7017467

Radix Representation

Decimal	7017440
Binary	11010110001001111100000 (23 bits)
Octal	0o32611740
Hexadecimal	0x6B13E0

Divisor Catalog (48)

1 2 4 5 8 10 16 20 32 40 61 80 122 160 244 305 488 610 719 976 1,220 1,438 1,952 2,440 2,876 3,595 4,880 5,752 7,190 9,760 11,504 14,380 23,008 28,760 43,859 57,520 87,718 115,040 175,436 219,295 350,872 438,590 701,744 877,180 1,403,488 1,754,360 3,508,720 7,017,440

Collatz Trajectory (152 steps to reach 1)

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

7,017,440 3,508,720 1,754,360 877,180 438,590 219,295 657,886 328,943 986,830 493,415 1,480,246 740,123 2,220,370 1,110,185 3,330,556 1,665,278 832,639 2,497,918 1,248,959 3,746,878 1,873,439 5,620,318 2,810,159 8,430,478 4,215,239 12,645,718 6,322,859 18,968,578 9,484,289 28,452,868 14,226,434 7,113,217 21,339,652 10,669,826 5,334,913 16,004,740 8,002,370 4,001,185 12,003,556 6,001,778 3,000,889 9,002,668 4,501,334 2,250,667 6,752,002 3,376,001 10,128,004 5,064,002 2,532,001 7,596,004 3,798,002 1,899,001 5,697,004 2,848,502 1,424,251 4,272,754 2,136,377 6,409,132 3,204,566 1,602,283

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