λ
Math Directory

9,968,410

2 × 5 × 996841
Deficient Even Composite

9,968,410 factors as 2 × 5 × 996841. Its 8 positive divisors give a proper-divisor sum of 7,974,746, so this integer is deficient. The Collatz stopping time is 176 steps.

Prime Factor Structure

Factorization String 2 × 5 × 996841
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 17,943,156
Proper Divisor Sum 7,974,746
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #9968381 ← → #9968411

Radix Representation

Decimal 9968410
Binary 100110000001101100011010 (24 bits)
Octal 0o46015432
Hexadecimal 0x981B1A

Divisor Catalog (8)

1 2 5 10 996,841 1,993,682 4,984,205 9,968,410

Collatz Trajectory (176 steps to reach 1)

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

9,968,410 4,984,205 14,952,616 7,476,308 3,738,154 1,869,077 5,607,232 2,803,616 1,401,808 700,904 350,452 175,226 87,613 262,840 131,420 65,710 32,855 98,566 49,283 147,850 73,925 221,776 110,888 55,444 27,722 13,861 41,584 20,792 10,396 5,198 2,599 7,798 3,899 11,698 5,849 17,548 8,774 4,387 13,162 6,581 19,744 9,872 4,936 2,468 1,234 617 1,852 926 463 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762

More profiles

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