λ
Harmonic Matrix

2,517,366

2 × 3 × 419561
Abundant Even Composite

2,517,366 has digital root 3. The neighboring primes are 2517311 and 2517379; its proper-divisor sum differs from the starting integer by 12.

Prime Factor Structure

Factorization String 2 × 3 × 419561
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,034,744
Proper Divisor Sum 2,517,378
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2517311 ← → #2517379

Radix Representation

Decimal 2517366
Binary 1001100110100101110110 (22 bits)
Octal 0o11464566
Hexadecimal 0x266976

Divisor Catalog (8)

1 2 3 6 419,561 839,122 1,258,683 2,517,366

Collatz Trajectory (174 steps to reach 1)

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

2,517,366 1,258,683 3,776,050 1,888,025 5,664,076 2,832,038 1,416,019 4,248,058 2,124,029 6,372,088 3,186,044 1,593,022 796,511 2,389,534 1,194,767 3,584,302 1,792,151 5,376,454 2,688,227 8,064,682 4,032,341 12,097,024 6,048,512 3,024,256 1,512,128 756,064 378,032 189,016 94,508 47,254 23,627 70,882 35,441 106,324 53,162 26,581 79,744 39,872 19,936 9,968 4,984 2,492 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554 1,777 5,332 2,666

More profiles

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