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7,052,560

24 × 5 × 199 × 443
Abundant Even Composite

7,052,560 factors as 2^4 × 5 × 199 × 443. Its 40 positive divisors give a proper-divisor sum of 9,464,240, so this integer is abundant. The Collatz stopping time is 129 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 199 × 443
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 16,516,800
Proper Divisor Sum 9,464,240
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #7052557 ← → #7052561

Radix Representation

Decimal 7052560
Binary 11010111001110100010000 (23 bits)
Octal 0o32716420
Hexadecimal 0x6B9D10

Divisor Catalog (40)

1 2 4 5 8 10 16 20 40 80 199 398 443 796 886 995 1,592 1,772 1,990 2,215 3,184 3,544 3,980 4,430 7,088 7,960 8,860 15,920 17,720 35,440 88,157 176,314 352,628 440,785 705,256 881,570 1,410,512 1,763,140 3,526,280 7,052,560

Collatz Trajectory (129 steps to reach 1)

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

7,052,560 3,526,280 1,763,140 881,570 440,785 1,322,356 661,178 330,589 991,768 495,884 247,942 123,971 371,914 185,957 557,872 278,936 139,468 69,734 34,867 104,602 52,301 156,904 78,452 39,226 19,613 58,840 29,420 14,710 7,355 22,066 11,033 33,100 16,550 8,275 24,826 12,413 37,240 18,620 9,310 4,655 13,966 6,983 20,950 10,475 31,426 15,713 47,140 23,570 11,785 35,356 17,678 8,839 26,518 13,259 39,778 19,889 59,668 29,834 14,917 44,752

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