λ
Harmonic Matrix

1,429,883

7 × 13 × 19 × 827
Deficient Odd Composite

1,429,883 has digital root 8. The neighboring primes are 1429871 and 1429889; its proper-divisor sum differs from the starting integer by -1,005,046.

Prime Factor Structure

Factorization String 7 × 13 × 19 × 827
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,854,720
Proper Divisor Sum 424,837
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #1429871 ← → #1429889

Radix Representation

Decimal 1429883
Binary 101011101000101111011 (21 bits)
Octal 0o5350573
Hexadecimal 0x15D17B

Divisor Catalog (16)

1 7 13 19 91 133 247 827 1,729 5,789 10,751 15,713 75,257 109,991 204,269 1,429,883

Collatz Trajectory (75 steps to reach 1)

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

1,429,883 4,289,650 2,144,825 6,434,476 3,217,238 1,608,619 4,825,858 2,412,929 7,238,788 3,619,394 1,809,697 5,429,092 2,714,546 1,357,273 4,071,820 2,035,910 1,017,955 3,053,866 1,526,933 4,580,800 2,290,400 1,145,200 572,600 286,300 143,150 71,575 214,726 107,363 322,090 161,045 483,136 241,568 120,784 60,392 30,196 15,098 7,549 22,648 11,324 5,662 2,831 8,494 4,247 12,742 6,371 19,114 9,557 28,672 14,336 7,168 3,584 1,792 896 448 224 112 56 28 14 7

More profiles

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