λ
Harmonic Matrix

2,544,775

52 × 137 × 743
Deficient Odd Composite

2,544,775 has digital root 7. The neighboring primes are 2544769 and 2544791; its proper-divisor sum differs from the starting integer by -1,906,718.

Prime Factor Structure

Factorization String 5^2 × 137 × 743
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 3,182,832
Proper Divisor Sum 638,057
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #2544769 ← → #2544791

Radix Representation

Decimal 2544775
Binary 1001101101010010000111 (22 bits)
Octal 0o11552207
Hexadecimal 0x26D487

Divisor Catalog (12)

1 5 25 137 685 743 3,425 3,715 18,575 101,791 508,955 2,544,775

Collatz Trajectory (249 steps to reach 1)

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

2,544,775 7,634,326 3,817,163 11,451,490 5,725,745 17,177,236 8,588,618 4,294,309 12,882,928 6,441,464 3,220,732 1,610,366 805,183 2,415,550 1,207,775 3,623,326 1,811,663 5,434,990 2,717,495 8,152,486 4,076,243 12,228,730 6,114,365 18,343,096 9,171,548 4,585,774 2,292,887 6,878,662 3,439,331 10,317,994 5,158,997 15,476,992 7,738,496 3,869,248 1,934,624 967,312 483,656 241,828 120,914 60,457 181,372 90,686 45,343 136,030 68,015 204,046 102,023 306,070 153,035 459,106 229,553 688,660 344,330 172,165 516,496 258,248 129,124 64,562 32,281 96,844

More profiles

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