λ
Harmonic Matrix

1,612,510

2 × 5 × 113 × 1427
Deficient Even Composite

1,612,510 has digital root 7. The neighboring primes are 1612493 and 1612517; its proper-divisor sum differs from the starting integer by -294,764.

Prime Factor Structure

Factorization String 2 × 5 × 113 × 1427
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,930,256
Proper Divisor Sum 1,317,746
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #1612493 ← → #1612517

Radix Representation

Decimal 1612510
Binary 110001001101011011110 (21 bits)
Octal 0o6115336
Hexadecimal 0x189ADE

Divisor Catalog (16)

1 2 5 10 113 226 565 1,130 1,427 2,854 7,135 14,270 161,251 322,502 806,255 1,612,510

Collatz Trajectory (194 steps to reach 1)

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

1,612,510 806,255 2,418,766 1,209,383 3,628,150 1,814,075 5,442,226 2,721,113 8,163,340 4,081,670 2,040,835 6,122,506 3,061,253 9,183,760 4,591,880 2,295,940 1,147,970 573,985 1,721,956 860,978 430,489 1,291,468 645,734 322,867 968,602 484,301 1,452,904 726,452 363,226 181,613 544,840 272,420 136,210 68,105 204,316 102,158 51,079 153,238 76,619 229,858 114,929 344,788 172,394 86,197 258,592 129,296 64,648 32,324 16,162 8,081 24,244 12,122 6,061 18,184 9,092 4,546 2,273 6,820 3,410 1,705

More profiles

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