λ
Harmonic Matrix

1,710,780

22 × 3 × 5 × 28513
Abundant Even Composite

1,710,780 has digital root 6. The neighboring primes are 1710767 and 1710781; its proper-divisor sum differs from the starting integer by 1,368,792.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 28513
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 4,790,352
Proper Divisor Sum 3,079,572
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #1710767 ← → #1710781

Radix Representation

Decimal 1710780
Binary 110100001101010111100 (21 bits)
Octal 0o6415274
Hexadecimal 0x1A1ABC

Divisor Catalog (24)

1 2 3 4 5 6 10 12 15 20 30 60 28,513 57,026 85,539 114,052 142,565 171,078 285,130 342,156 427,695 570,260 855,390 1,710,780

Collatz Trajectory (83 steps to reach 1)

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

1,710,780 855,390 427,695 1,283,086 641,543 1,924,630 962,315 2,886,946 1,443,473 4,330,420 2,165,210 1,082,605 3,247,816 1,623,908 811,954 405,977 1,217,932 608,966 304,483 913,450 456,725 1,370,176 685,088 342,544 171,272 85,636 42,818 21,409 64,228 32,114 16,057 48,172 24,086 12,043 36,130 18,065 54,196 27,098 13,549 40,648 20,324 10,162 5,081 15,244 7,622 3,811 11,434 5,717 17,152 8,576 4,288 2,144 1,072 536 268 134 67 202 101 304

More profiles

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