λ
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3,385,976

23 × 11 × 109 × 353
Abundant Even Composite

3,385,976 factors as 2^3 × 11 × 109 × 353. Its 32 positive divisors give a proper-divisor sum of 3,623,224, so this integer is abundant. The Collatz stopping time is 84 steps.

Prime Factor Structure

Factorization String 2^3 × 11 × 109 × 353
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,009,200
Proper Divisor Sum 3,623,224
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #3385973 ← → #3385997

Radix Representation

Decimal 3385976
Binary 1100111010101001111000 (22 bits)
Octal 0o14725170
Hexadecimal 0x33AA78

Divisor Catalog (32)

1 2 4 8 11 22 44 88 109 218 353 436 706 872 1,199 1,412 2,398 2,824 3,883 4,796 7,766 9,592 15,532 31,064 38,477 76,954 153,908 307,816 423,247 846,494 1,692,988 3,385,976

Collatz Trajectory (84 steps to reach 1)

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

3,385,976 1,692,988 846,494 423,247 1,269,742 634,871 1,904,614 952,307 2,856,922 1,428,461 4,285,384 2,142,692 1,071,346 535,673 1,607,020 803,510 401,755 1,205,266 602,633 1,807,900 903,950 451,975 1,355,926 677,963 2,033,890 1,016,945 3,050,836 1,525,418 762,709 2,288,128 1,144,064 572,032 286,016 143,008 71,504 35,752 17,876 8,938 4,469 13,408 6,704 3,352 1,676 838 419 1,258 629 1,888 944 472 236 118 59 178 89 268 134 67 202 101

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