λ
Math Directory

7,001,340

22 × 3 × 5 × 116689
Abundant Even Composite

7,001,340 factors as 2^2 × 3 × 5 × 116689. Its 24 positive divisors give a proper-divisor sum of 12,602,580, so this integer is abundant. The Collatz stopping time is 178 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 116689
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 19,603,920
Proper Divisor Sum 12,602,580
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #7001327 ← → #7001341

Radix Representation

Decimal 7001340
Binary 11010101101010011111100 (23 bits)
Octal 0o32552374
Hexadecimal 0x6AD4FC

Divisor Catalog (24)

1 2 3 4 5 6 10 12 15 20 30 60 116,689 233,378 350,067 466,756 583,445 700,134 1,166,890 1,400,268 1,750,335 2,333,780 3,500,670 7,001,340

Collatz Trajectory (178 steps to reach 1)

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

7,001,340 3,500,670 1,750,335 5,251,006 2,625,503 7,876,510 3,938,255 11,814,766 5,907,383 17,722,150 8,861,075 26,583,226 13,291,613 39,874,840 19,937,420 9,968,710 4,984,355 14,953,066 7,476,533 22,429,600 11,214,800 5,607,400 2,803,700 1,401,850 700,925 2,102,776 1,051,388 525,694 262,847 788,542 394,271 1,182,814 591,407 1,774,222 887,111 2,661,334 1,330,667 3,992,002 1,996,001 5,988,004 2,994,002 1,497,001 4,491,004 2,245,502 1,122,751 3,368,254 1,684,127 5,052,382 2,526,191 7,578,574 3,789,287 11,367,862 5,683,931 17,051,794 8,525,897 25,577,692 12,788,846 6,394,423 19,183,270 9,591,635

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