λ
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3,503,352

23 × 3 × 61 × 2393
Abundant Even Composite

3,503,352 factors as 2^3 × 3 × 61 × 2393. Its 32 positive divisors give a proper-divisor sum of 5,402,328, so this integer is abundant. The Collatz stopping time is 221 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 61 × 2393
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,905,680
Proper Divisor Sum 5,402,328
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #3503329 ← → #3503371

Radix Representation

Decimal 3503352
Binary 1101010111010011111000 (22 bits)
Octal 0o15272370
Hexadecimal 0x3574F8

Divisor Catalog (32)

1 2 3 4 6 8 12 24 61 122 183 244 366 488 732 1,464 2,393 4,786 7,179 9,572 14,358 19,144 28,716 57,432 145,973 291,946 437,919 583,892 875,838 1,167,784 1,751,676 3,503,352

Collatz Trajectory (221 steps to reach 1)

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

3,503,352 1,751,676 875,838 437,919 1,313,758 656,879 1,970,638 985,319 2,955,958 1,477,979 4,433,938 2,216,969 6,650,908 3,325,454 1,662,727 4,988,182 2,494,091 7,482,274 3,741,137 11,223,412 5,611,706 2,805,853 8,417,560 4,208,780 2,104,390 1,052,195 3,156,586 1,578,293 4,734,880 2,367,440 1,183,720 591,860 295,930 147,965 443,896 221,948 110,974 55,487 166,462 83,231 249,694 124,847 374,542 187,271 561,814 280,907 842,722 421,361 1,264,084 632,042 316,021 948,064 474,032 237,016 118,508 59,254 29,627 88,882 44,441 133,324

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