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Atlas › Integer Profiles › Node 3,355,872

3,355,872

25 × 3 × 13 × 2689
Abundant Even Composite

3,355,872 factors as 2^5 × 3 × 13 × 2689. Its 48 positive divisors give a proper-divisor sum of 6,134,448, so this integer is abundant. The Collatz stopping time is 115 steps.

Prime Factor Structure

Factorization String 2^5 × 3 × 13 × 2689
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 9,490,320
Proper Divisor Sum 6,134,448
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3355871 ← → #3355873

Radix Representation

Decimal 3355872
Binary 1100110011010011100000 (22 bits)
Octal 0o14632340
Hexadecimal 0x3334E0

Divisor Catalog (48)

1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1,248 2,689 5,378 8,067 10,756 16,134 21,512 32,268 34,957 43,024 64,536 69,914 86,048 104,871 129,072 139,828 209,742 258,144 279,656 419,484 559,312 838,968 1,118,624 1,677,936 3,355,872

Collatz Trajectory (115 steps to reach 1)

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

3,355,872 1,677,936 838,968 419,484 209,742 104,871 314,614 157,307 471,922 235,961 707,884 353,942 176,971 530,914 265,457 796,372 398,186 199,093 597,280 298,640 149,320 74,660 37,330 18,665 55,996 27,998 13,999 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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