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3,355,840

26 × 5 × 10487
Abundant Even Composite

3,355,840 factors as 2^6 × 5 × 10487. Its 28 positive divisors give a proper-divisor sum of 4,636,016, so this integer is abundant. The Collatz stopping time is 115 steps.

Prime Factor Structure

Factorization String 2^6 × 5 × 10487
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 7,991,856
Proper Divisor Sum 4,636,016
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #3355831 ← → #3355853

Radix Representation

Decimal 3355840
Binary 1100110011010011000000 (22 bits)
Octal 0o14632300
Hexadecimal 0x3334C0

Divisor Catalog (28)

1 2 4 5 8 10 16 20 32 40 64 80 160 320 10,487 20,974 41,948 52,435 83,896 104,870 167,792 209,740 335,584 419,480 671,168 838,960 1,677,920 3,355,840

Collatz Trajectory (115 steps to reach 1)

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

3,355,840 1,677,920 838,960 419,480 209,740 104,870 52,435 157,306 78,653 235,960 117,980 58,990 29,495 88,486 44,243 132,730 66,365 199,096 99,548 49,774 24,887 74,662 37,331 111,994 55,997 167,992 83,996 41,998 20,999 62,998 31,499 94,498 47,249 141,748 70,874 35,437 106,312 53,156 26,578 13,289 39,868 19,934 9,967 29,902 14,951 44,854 22,427 67,282 33,641 100,924 50,462 25,231 75,694 37,847 113,542 56,771 170,314 85,157 255,472 127,736

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