λ
Harmonic Matrix

4,972,799

13 × 179 × 2137
Deficient Odd Composite

4,972,799 has digital root 2. The neighboring primes are 4972783 and 4972829; its proper-divisor sum differs from the starting integer by -4,557,838.

Prime Factor Structure

Factorization String 13 × 179 × 2137
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,387,760
Proper Divisor Sum 414,961
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #4972783 ← → #4972829

Radix Representation

Decimal 4972799
Binary 10010111110000011111111 (23 bits)
Octal 0o22760377
Hexadecimal 0x4BE0FF

Divisor Catalog (8)

1 13 179 2,137 2,327 27,781 382,523 4,972,799

Collatz Trajectory (312 steps to reach 1)

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

4,972,799 14,918,398 7,459,199 22,377,598 11,188,799 33,566,398 16,783,199 50,349,598 25,174,799 75,524,398 37,762,199 113,286,598 56,643,299 169,929,898 84,964,949 254,894,848 127,447,424 63,723,712 31,861,856 15,930,928 7,965,464 3,982,732 1,991,366 995,683 2,987,050 1,493,525 4,480,576 2,240,288 1,120,144 560,072 280,036 140,018 70,009 210,028 105,014 52,507 157,522 78,761 236,284 118,142 59,071 177,214 88,607 265,822 132,911 398,734 199,367 598,102 299,051 897,154 448,577 1,345,732 672,866 336,433 1,009,300 504,650 252,325 756,976 378,488 189,244

More profiles

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