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Atlas › Integer Profiles › Node 2,437,696

2,437,696

26 × 41 × 929
Abundant Even Composite

2,437,696 factors as 2^6 × 41 × 929. Its 28 positive divisors give a proper-divisor sum of 2,522,924, so this integer is abundant. The Collatz stopping time is 42 steps.

Prime Factor Structure

Factorization String 2^6 × 41 × 929
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 4,960,620
Proper Divisor Sum 2,522,924
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #2437693 ← → #2437697

Radix Representation

Decimal 2437696
Binary 1001010011001001000000 (22 bits)
Octal 0o11231100
Hexadecimal 0x253240

Divisor Catalog (28)

1 2 4 8 16 32 41 64 82 164 328 656 929 1,312 1,858 2,624 3,716 7,432 14,864 29,728 38,089 59,456 76,178 152,356 304,712 609,424 1,218,848 2,437,696

Collatz Trajectory (42 steps to reach 1)

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

2,437,696 1,218,848 609,424 304,712 152,356 76,178 38,089 114,268 57,134 28,567 85,702 42,851 128,554 64,277 192,832 96,416 48,208 24,104 12,052 6,026 3,013 9,040 4,520 2,260 1,130 565 1,696 848 424 212 106 53 160 80 40 20 10 5 16 8 4 2 1

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