λ
Harmonic Matrix

2,511,949

11 × 228359
Deficient Odd Composite

2,511,949 has digital root 4. The neighboring primes are 2511941 and 2511953; its proper-divisor sum differs from the starting integer by -2,283,578.

Prime Factor Structure

Factorization String 11 × 228359
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 2,740,320
Proper Divisor Sum 228,371
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #2511941 ← → #2511953

Radix Representation

Decimal 2511949
Binary 1001100101010001001101 (22 bits)
Octal 0o11452115
Hexadecimal 0x26544D

Divisor Catalog (4)

1 11 228,359 2,511,949

Collatz Trajectory (174 steps to reach 1)

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

2,511,949 7,535,848 3,767,924 1,883,962 941,981 2,825,944 1,412,972 706,486 353,243 1,059,730 529,865 1,589,596 794,798 397,399 1,192,198 596,099 1,788,298 894,149 2,682,448 1,341,224 670,612 335,306 167,653 502,960 251,480 125,740 62,870 31,435 94,306 47,153 141,460 70,730 35,365 106,096 53,048 26,524 13,262 6,631 19,894 9,947 29,842 14,921 44,764 22,382 11,191 33,574 16,787 50,362 25,181 75,544 37,772 18,886 9,443 28,330 14,165 42,496 21,248 10,624 5,312 2,656

More profiles

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