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Atlas › Integer Profiles › Node 2,636,608

2,636,608

26 × 13 × 3169
Abundant Even Composite

2,636,608 factors as 2^6 × 13 × 3169. Its 28 positive divisors give a proper-divisor sum of 2,999,652, so this integer is abundant. The Collatz stopping time is 68 steps.

Prime Factor Structure

Factorization String 2^6 × 13 × 3169
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 5,636,260
Proper Divisor Sum 2,999,652
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #2636597 ← → #2636609

Radix Representation

Decimal 2636608
Binary 1010000011101101000000 (22 bits)
Octal 0o12035500
Hexadecimal 0x283B40

Divisor Catalog (28)

1 2 4 8 13 16 26 32 52 64 104 208 416 832 3,169 6,338 12,676 25,352 41,197 50,704 82,394 101,408 164,788 202,816 329,576 659,152 1,318,304 2,636,608

Collatz Trajectory (68 steps to reach 1)

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

2,636,608 1,318,304 659,152 329,576 164,788 82,394 41,197 123,592 61,796 30,898 15,449 46,348 23,174 11,587 34,762 17,381 52,144 26,072 13,036 6,518 3,259 9,778 4,889 14,668 7,334 3,667 11,002 5,501 16,504 8,252 4,126 2,063 6,190 3,095 9,286 4,643 13,930 6,965 20,896 10,448 5,224 2,612 1,306 653 1,960 980 490 245 736 368 184 92 46 23 70 35 106 53 160 80

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