λ
Match Zalai

7,326,521

1051 × 6971
Deficient Odd Composite

7,326,521 factors as 1051 × 6971. Its 4 positive divisors give a proper-divisor sum of 8,023, so this integer is deficient. The Collatz stopping time is 147 steps.

Prime Factor Structure

Factorization String 1051 × 6971
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,334,544
Proper Divisor Sum 8,023
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #7326511 ← → #7326547

Radix Representation

Decimal 7326521
Binary 11011111100101100111001 (23 bits)
Octal 0o33745471
Hexadecimal 0x6FCB39

Divisor Catalog (4)

1 1,051 6,971 7,326,521

Collatz Trajectory (147 steps to reach 1)

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

7,326,521 21,979,564 10,989,782 5,494,891 16,484,674 8,242,337 24,727,012 12,363,506 6,181,753 18,545,260 9,272,630 4,636,315 13,908,946 6,954,473 20,863,420 10,431,710 5,215,855 15,647,566 7,823,783 23,471,350 11,735,675 35,207,026 17,603,513 52,810,540 26,405,270 13,202,635 39,607,906 19,803,953 59,411,860 29,705,930 14,852,965 44,558,896 22,279,448 11,139,724 5,569,862 2,784,931 8,354,794 4,177,397 12,532,192 6,266,096 3,133,048 1,566,524 783,262 391,631 1,174,894 587,447 1,762,342 881,171 2,643,514 1,321,757 3,965,272 1,982,636 991,318 495,659 1,486,978 743,489 2,230,468 1,115,234 557,617 1,672,852

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