λ
Harmonic Matrix

1,410,796

22 × 17 × 20747
Deficient Even Composite

1,410,796 has digital root 1. The neighboring primes are 1410781 and 1410803; its proper-divisor sum differs from the starting integer by -207,344.

Prime Factor Structure

Factorization String 2^2 × 17 × 20747
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 2,614,248
Proper Divisor Sum 1,203,452
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #1410781 ← → #1410803

Radix Representation

Decimal 1410796
Binary 101011000011011101100 (21 bits)
Octal 0o5303354
Hexadecimal 0x1586EC

Divisor Catalog (12)

1 2 4 17 34 68 20,747 41,494 82,988 352,699 705,398 1,410,796

Collatz Trajectory (199 steps to reach 1)

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

1,410,796 705,398 352,699 1,058,098 529,049 1,587,148 793,574 396,787 1,190,362 595,181 1,785,544 892,772 446,386 223,193 669,580 334,790 167,395 502,186 251,093 753,280 376,640 188,320 94,160 47,080 23,540 11,770 5,885 17,656 8,828 4,414 2,207 6,622 3,311 9,934 4,967 14,902 7,451 22,354 11,177 33,532 16,766 8,383 25,150 12,575 37,726 18,863 56,590 28,295 84,886 42,443 127,330 63,665 190,996 95,498 47,749 143,248 71,624 35,812 17,906 8,953

More profiles

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