λ
Harmonic Matrix

2,584,130

2 × 5 × 258413
Deficient Even Composite

2,584,130 has digital root 5. The neighboring primes are 2584111 and 2584147; its proper-divisor sum differs from the starting integer by -516,808.

Prime Factor Structure

Factorization String 2 × 5 × 258413
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,651,452
Proper Divisor Sum 2,067,322
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #2584111 ← → #2584147

Radix Representation

Decimal 2584130
Binary 1001110110111001000010 (22 bits)
Octal 0o11667102
Hexadecimal 0x276E42

Divisor Catalog (8)

1 2 5 10 258,413 516,826 1,292,065 2,584,130

Collatz Trajectory (99 steps to reach 1)

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

2,584,130 1,292,065 3,876,196 1,938,098 969,049 2,907,148 1,453,574 726,787 2,180,362 1,090,181 3,270,544 1,635,272 817,636 408,818 204,409 613,228 306,614 153,307 459,922 229,961 689,884 344,942 172,471 517,414 258,707 776,122 388,061 1,164,184 582,092 291,046 145,523 436,570 218,285 654,856 327,428 163,714 81,857 245,572 122,786 61,393 184,180 92,090 46,045 138,136 69,068 34,534 17,267 51,802 25,901 77,704 38,852 19,426 9,713 29,140 14,570 7,285 21,856 10,928 5,464 2,732

More profiles

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