λ
Harmonic Matrix

2,621,468

22 × 17 × 19 × 2029
Deficient Even Composite

2,621,468 has digital root 2. The neighboring primes are 2621467 and 2621477; its proper-divisor sum differs from the starting integer by -127,336.

Prime Factor Structure

Factorization String 2^2 × 17 × 19 × 2029
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,115,600
Proper Divisor Sum 2,494,132
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #2621467 ← → #2621477

Radix Representation

Decimal 2621468
Binary 1010000000000000011100 (22 bits)
Octal 0o12000034
Hexadecimal 0x28001C

Divisor Catalog (24)

1 2 4 17 19 34 38 68 76 323 646 1,292 2,029 4,058 8,116 34,493 38,551 68,986 77,102 137,972 154,204 655,367 1,310,734 2,621,468

Collatz Trajectory (143 steps to reach 1)

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

2,621,468 1,310,734 655,367 1,966,102 983,051 2,949,154 1,474,577 4,423,732 2,211,866 1,105,933 3,317,800 1,658,900 829,450 414,725 1,244,176 622,088 311,044 155,522 77,761 233,284 116,642 58,321 174,964 87,482 43,741 131,224 65,612 32,806 16,403 49,210 24,605 73,816 36,908 18,454 9,227 27,682 13,841 41,524 20,762 10,381 31,144 15,572 7,786 3,893 11,680 5,840 2,920 1,460 730 365 1,096 548 274 137 412 206 103 310 155 466

More profiles

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