λ
Harmonic Matrix

2,009,465

5 × 271 × 1483
Deficient Odd Composite

2,009,465 has digital root 8. The neighboring primes are 2009461 and 2009467; its proper-divisor sum differs from the starting integer by -1,597,042.

Prime Factor Structure

Factorization String 5 × 271 × 1483
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,421,888
Proper Divisor Sum 412,423
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #2009461 ← → #2009467

Radix Representation

Decimal 2009465
Binary 111101010100101111001 (21 bits)
Octal 0o7524571
Hexadecimal 0x1EA979

Divisor Catalog (8)

1 5 271 1,355 1,483 7,415 401,893 2,009,465

Collatz Trajectory (197 steps to reach 1)

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

2,009,465 6,028,396 3,014,198 1,507,099 4,521,298 2,260,649 6,781,948 3,390,974 1,695,487 5,086,462 2,543,231 7,629,694 3,814,847 11,444,542 5,722,271 17,166,814 8,583,407 25,750,222 12,875,111 38,625,334 19,312,667 57,938,002 28,969,001 86,907,004 43,453,502 21,726,751 65,180,254 32,590,127 97,770,382 48,885,191 146,655,574 73,327,787 219,983,362 109,991,681 329,975,044 164,987,522 82,493,761 247,481,284 123,740,642 61,870,321 185,610,964 92,805,482 46,402,741 139,208,224 69,604,112 34,802,056 17,401,028 8,700,514 4,350,257 13,050,772 6,525,386 3,262,693 9,788,080 4,894,040 2,447,020 1,223,510 611,755 1,835,266 917,633 2,752,900

More profiles

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