λ
Harmonic Matrix

1,420,629

3 × 7 × 61 × 1109
Deficient Odd Composite

1,420,629 has digital root 6. The neighboring primes are 1420621 and 1420631; its proper-divisor sum differs from the starting integer by -639,018.

Prime Factor Structure

Factorization String 3 × 7 × 61 × 1109
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,202,240
Proper Divisor Sum 781,611
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #1420621 ← → #1420631

Radix Representation

Decimal 1420629
Binary 101011010110101010101 (21 bits)
Octal 0o5326525
Hexadecimal 0x15AD55

Divisor Catalog (16)

1 3 7 21 61 183 427 1,109 1,281 3,327 7,763 23,289 67,649 202,947 473,543 1,420,629

Collatz Trajectory (75 steps to reach 1)

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

1,420,629 4,261,888 2,130,944 1,065,472 532,736 266,368 133,184 66,592 33,296 16,648 8,324 4,162 2,081 6,244 3,122 1,561 4,684 2,342 1,171 3,514 1,757 5,272 2,636 1,318 659 1,978 989 2,968 1,484 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44

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