λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,332,608

3,332,608

29 × 23 × 283
Abundant Even Composite

3,332,608 factors as 2^9 × 23 × 283. Its 40 positive divisors give a proper-divisor sum of 3,640,160, so this integer is abundant. The Collatz stopping time is 84 steps.

Prime Factor Structure

Factorization String 2^9 × 23 × 283
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 6,972,768
Proper Divisor Sum 3,640,160
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #3332591 ← → #3332611

Radix Representation

Decimal 3332608
Binary 1100101101101000000000 (22 bits)
Octal 0o14555000
Hexadecimal 0x32DA00

Divisor Catalog (40)

1 2 4 8 16 23 32 46 64 92 128 184 256 283 368 512 566 736 1,132 1,472 2,264 2,944 4,528 5,888 6,509 9,056 11,776 13,018 18,112 26,036 36,224 52,072 72,448 104,144 144,896 208,288 416,576 833,152 1,666,304 3,332,608

Collatz Trajectory (84 steps to reach 1)

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

3,332,608 1,666,304 833,152 416,576 208,288 104,144 52,072 26,036 13,018 6,509 19,528 9,764 4,882 2,441 7,324 3,662 1,831 5,494 2,747 8,242 4,121 12,364 6,182 3,091 9,274 4,637 13,912 6,956 3,478 1,739 5,218 2,609 7,828 3,914 1,957 5,872 2,936 1,468 734 367 1,102 551 1,654 827 2,482 1,241 3,724 1,862 931 2,794 1,397 4,192 2,096 1,048 524 262 131 394 197 592

More profiles

Browse other published profiles and their separate link collections.

Profile #8,342,168 Profile #1,146,956 Profile #9,712,347 Profile #6,573,969 Profile #965,653 Profile #4,620,983 Profile #853,259 Profile #1,288,150
← Previous Integer #3,332,607 Browse Full Index Next Integer #3,332,609 →