λ
Harmonic Matrix

2,409,006

2 × 3 × 311 × 1291
Abundant Even Composite

2,409,006 has digital root 3. The neighboring primes are 2408999 and 2409023; its proper-divisor sum differs from the starting integer by 19,236.

Prime Factor Structure

Factorization String 2 × 3 × 311 × 1291
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,837,248
Proper Divisor Sum 2,428,242
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #2408999 ← → #2409023

Radix Representation

Decimal 2409006
Binary 1001001100001000101110 (22 bits)
Octal 0o11141056
Hexadecimal 0x24C22E

Divisor Catalog (16)

1 2 3 6 311 622 933 1,291 1,866 2,582 3,873 7,746 401,501 803,002 1,204,503 2,409,006

Collatz Trajectory (91 steps to reach 1)

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

2,409,006 1,204,503 3,613,510 1,806,755 5,420,266 2,710,133 8,130,400 4,065,200 2,032,600 1,016,300 508,150 254,075 762,226 381,113 1,143,340 571,670 285,835 857,506 428,753 1,286,260 643,130 321,565 964,696 482,348 241,174 120,587 361,762 180,881 542,644 271,322 135,661 406,984 203,492 101,746 50,873 152,620 76,310 38,155 114,466 57,233 171,700 85,850 42,925 128,776 64,388 32,194 16,097 48,292 24,146 12,073 36,220 18,110 9,055 27,166 13,583 40,750 20,375 61,126 30,563 91,690

More profiles

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