λ
Harmonic Matrix

1,671,310

2 × 5 × 97 × 1723
Deficient Even Composite

1,671,310 has digital root 1. The neighboring primes are 1671289 and 1671311; its proper-divisor sum differs from the starting integer by -301,484.

Prime Factor Structure

Factorization String 2 × 5 × 97 × 1723
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,041,136
Proper Divisor Sum 1,369,826
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #1671289 ← → #1671311

Radix Representation

Decimal 1671310
Binary 110011000000010001110 (21 bits)
Octal 0o6300216
Hexadecimal 0x19808E

Divisor Catalog (16)

1 2 5 10 97 194 485 970 1,723 3,446 8,615 17,230 167,131 334,262 835,655 1,671,310

Collatz Trajectory (189 steps to reach 1)

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

1,671,310 835,655 2,506,966 1,253,483 3,760,450 1,880,225 5,640,676 2,820,338 1,410,169 4,230,508 2,115,254 1,057,627 3,172,882 1,586,441 4,759,324 2,379,662 1,189,831 3,569,494 1,784,747 5,354,242 2,677,121 8,031,364 4,015,682 2,007,841 6,023,524 3,011,762 1,505,881 4,517,644 2,258,822 1,129,411 3,388,234 1,694,117 5,082,352 2,541,176 1,270,588 635,294 317,647 952,942 476,471 1,429,414 714,707 2,144,122 1,072,061 3,216,184 1,608,092 804,046 402,023 1,206,070 603,035 1,809,106 904,553 2,713,660 1,356,830 678,415 2,035,246 1,017,623 3,052,870 1,526,435 4,579,306 2,289,653

More profiles

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