λ
Harmonic Matrix

3,010,253

109 × 27617
Deficient Odd Composite

3,010,253 has digital root 5. The neighboring primes are 3010219 and 3010279; its proper-divisor sum differs from the starting integer by -2,982,526.

Prime Factor Structure

Factorization String 109 × 27617
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,037,980
Proper Divisor Sum 27,727
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #3010219 ← → #3010279

Radix Representation

Decimal 3010253
Binary 1011011110111011001101 (22 bits)
Octal 0o13367315
Hexadecimal 0x2DEECD

Divisor Catalog (4)

1 109 27,617 3,010,253

Collatz Trajectory (151 steps to reach 1)

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

3,010,253 9,030,760 4,515,380 2,257,690 1,128,845 3,386,536 1,693,268 846,634 423,317 1,269,952 634,976 317,488 158,744 79,372 39,686 19,843 59,530 29,765 89,296 44,648 22,324 11,162 5,581 16,744 8,372 4,186 2,093 6,280 3,140 1,570 785 2,356 1,178 589 1,768 884 442 221 664 332 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91

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