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Atlas › Integer Profiles › Node 2,912,936

2,912,936

23 × 13 × 37 × 757
Abundant Even Composite

2,912,936 factors as 2^3 × 13 × 37 × 757. Its 32 positive divisors give a proper-divisor sum of 3,135,904, so this integer is abundant. The Collatz stopping time is 138 steps.

Prime Factor Structure

Factorization String 2^3 × 13 × 37 × 757
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,048,840
Proper Divisor Sum 3,135,904
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #2912929 ← → #2912951

Radix Representation

Decimal 2912936
Binary 1011000111001010101000 (22 bits)
Octal 0o13071250
Hexadecimal 0x2C72A8

Divisor Catalog (32)

1 2 4 8 13 26 37 52 74 104 148 296 481 757 962 1,514 1,924 3,028 3,848 6,056 9,841 19,682 28,009 39,364 56,018 78,728 112,036 224,072 364,117 728,234 1,456,468 2,912,936

Collatz Trajectory (138 steps to reach 1)

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

2,912,936 1,456,468 728,234 364,117 1,092,352 546,176 273,088 136,544 68,272 34,136 17,068 8,534 4,267 12,802 6,401 19,204 9,602 4,801 14,404 7,202 3,601 10,804 5,402 2,701 8,104 4,052 2,026 1,013 3,040 1,520 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526

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