52,007,690

2 × 5 × 7 × 742967

52,007,690 factors as 2 × 5 × 7 × 742967. Its 16 positive divisors give a proper-divisor sum of 54,979,702, so this integer is abundant. The Collatz stopping time is 119 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 742967

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 106,987,392

Proper Divisor Sum 54,979,702

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #52007689 ← → #52007699

Radix Representation

Decimal	52007690
Binary	11000110011001001100001010 (26 bits)
Octal	0o306311412
Hexadecimal	0x319930A

Divisor Catalog (16)

1 2 5 7 10 14 35 70 742,967 1,485,934 3,714,835 5,200,769 7,429,670 10,401,538 26,003,845 52,007,690

Collatz Trajectory (119 steps to reach 1)

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

52,007,690 26,003,845 78,011,536 39,005,768 19,502,884 9,751,442 4,875,721 14,627,164 7,313,582 3,656,791 10,970,374 5,485,187 16,455,562 8,227,781 24,683,344 12,341,672 6,170,836 3,085,418 1,542,709 4,628,128 2,314,064 1,157,032 578,516 289,258 144,629 433,888 216,944 108,472 54,236 27,118 13,559 40,678 20,339 61,018 30,509 91,528 45,764 22,882 11,441 34,324 17,162 8,581 25,744 12,872 6,436 3,218 1,609 4,828 2,414 1,207 3,622 1,811 5,434 2,717 8,152 4,076 2,038 1,019 3,058 1,529

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