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7,071,072

25 × 3 × 73 × 1009
Abundant Even Composite

7,071,072 factors as 2^5 × 3 × 73 × 1009. Its 48 positive divisors give a proper-divisor sum of 11,763,408, so this integer is abundant. The Collatz stopping time is 191 steps.

Prime Factor Structure

Factorization String 2^5 × 3 × 73 × 1009
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 18,834,480
Proper Divisor Sum 11,763,408
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #7071061 ← → #7071073

Radix Representation

Decimal 7071072
Binary 11010111110010101100000 (23 bits)
Octal 0o32762540
Hexadecimal 0x6BE560

Divisor Catalog (48)

1 2 3 4 6 8 12 16 24 32 48 73 96 146 219 292 438 584 876 1,009 1,168 1,752 2,018 2,336 3,027 3,504 4,036 6,054 7,008 8,072 12,108 16,144 24,216 32,288 48,432 73,657 96,864 147,314 220,971 294,628 441,942 589,256 883,884 1,178,512 1,767,768 2,357,024 3,535,536 7,071,072

Collatz Trajectory (191 steps to reach 1)

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

7,071,072 3,535,536 1,767,768 883,884 441,942 220,971 662,914 331,457 994,372 497,186 248,593 745,780 372,890 186,445 559,336 279,668 139,834 69,917 209,752 104,876 52,438 26,219 78,658 39,329 117,988 58,994 29,497 88,492 44,246 22,123 66,370 33,185 99,556 49,778 24,889 74,668 37,334 18,667 56,002 28,001 84,004 42,002 21,001 63,004 31,502 15,751 47,254 23,627 70,882 35,441 106,324 53,162 26,581 79,744 39,872 19,936 9,968 4,984 2,492 1,246

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