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Atlas › Integer Profiles › Node 3,668,860

3,668,860

22 × 5 × 13 × 103 × 137
Abundant Even Composite

3,668,860 factors as 2^2 × 5 × 13 × 103 × 137. Its 48 positive divisors give a proper-divisor sum of 4,770,116, so this integer is abundant. The Collatz stopping time is 58 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 13 × 103 × 137
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 8,438,976
Proper Divisor Sum 4,770,116
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #3668857 ← → #3668869

Radix Representation

Decimal 3668860
Binary 1101111111101101111100 (22 bits)
Octal 0o15775574
Hexadecimal 0x37FB7C

Divisor Catalog (48)

1 2 4 5 10 13 20 26 52 65 103 130 137 206 260 274 412 515 548 685 1,030 1,339 1,370 1,781 2,060 2,678 2,740 3,562 5,356 6,695 7,124 8,905 13,390 14,111 17,810 26,780 28,222 35,620 56,444 70,555 141,110 183,443 282,220 366,886 733,772 917,215 1,834,430 3,668,860

Collatz Trajectory (58 steps to reach 1)

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

3,668,860 1,834,430 917,215 2,751,646 1,375,823 4,127,470 2,063,735 6,191,206 3,095,603 9,286,810 4,643,405 13,930,216 6,965,108 3,482,554 1,741,277 5,223,832 2,611,916 1,305,958 652,979 1,958,938 979,469 2,938,408 1,469,204 734,602 367,301 1,101,904 550,952 275,476 137,738 68,869 206,608 103,304 51,652 25,826 12,913 38,740 19,370 9,685 29,056 14,528 7,264 3,632 1,816 908 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

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