λ
Harmonic Matrix

2,528,637

3 × 842879
Deficient Odd Composite

2,528,637 has digital root 6. The neighboring primes are 2528629 and 2528651; its proper-divisor sum differs from the starting integer by -1,685,754.

Prime Factor Structure

Factorization String 3 × 842879
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,371,520
Proper Divisor Sum 842,883
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #2528629 ← → #2528651

Radix Representation

Decimal 2528637
Binary 1001101001010101111101 (22 bits)
Octal 0o11512575
Hexadecimal 0x26957D

Divisor Catalog (4)

1 3 842,879 2,528,637

Collatz Trajectory (324 steps to reach 1)

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

2,528,637 7,585,912 3,792,956 1,896,478 948,239 2,844,718 1,422,359 4,267,078 2,133,539 6,400,618 3,200,309 9,600,928 4,800,464 2,400,232 1,200,116 600,058 300,029 900,088 450,044 225,022 112,511 337,534 168,767 506,302 253,151 759,454 379,727 1,139,182 569,591 1,708,774 854,387 2,563,162 1,281,581 3,844,744 1,922,372 961,186 480,593 1,441,780 720,890 360,445 1,081,336 540,668 270,334 135,167 405,502 202,751 608,254 304,127 912,382 456,191 1,368,574 684,287 2,052,862 1,026,431 3,079,294 1,539,647 4,618,942 2,309,471 6,928,414 3,464,207

More profiles

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