λ
Harmonic Matrix

5,037,757

5037757
Deficient Odd Prime

5,037,757 has digital root 7. The neighboring primes are 5037749 and 5037761; its proper-divisor sum differs from the starting integer by -5,037,756.

Prime Factor Structure

Factorization String 5037757
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 5,037,758
Proper Divisor Sum 1
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #5037749 ← → #5037761

Radix Representation

Decimal 5037757
Binary 10011001101111010111101 (23 bits)
Octal 0o23157275
Hexadecimal 0x4CDEBD

Divisor Catalog (2)

1 5,037,757

Collatz Trajectory (206 steps to reach 1)

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

5,037,757 15,113,272 7,556,636 3,778,318 1,889,159 5,667,478 2,833,739 8,501,218 4,250,609 12,751,828 6,375,914 3,187,957 9,563,872 4,781,936 2,390,968 1,195,484 597,742 298,871 896,614 448,307 1,344,922 672,461 2,017,384 1,008,692 504,346 252,173 756,520 378,260 189,130 94,565 283,696 141,848 70,924 35,462 17,731 53,194 26,597 79,792 39,896 19,948 9,974 4,987 14,962 7,481 22,444 11,222 5,611 16,834 8,417 25,252 12,626 6,313 18,940 9,470 4,735 14,206 7,103 21,310 10,655 31,966

More profiles

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