λ
Harmonic Matrix

1,346,320

24 × 5 × 16829
Abundant Even Composite

1,346,320 has digital root 1. The neighboring primes are 1346311 and 1346333; its proper-divisor sum differs from the starting integer by 437,740.

Prime Factor Structure

Factorization String 2^4 × 5 × 16829
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 3,130,380
Proper Divisor Sum 1,784,060
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #1346311 ← → #1346333

Radix Representation

Decimal 1346320
Binary 101001000101100010000 (21 bits)
Octal 0o5105420
Hexadecimal 0x148B10

Divisor Catalog (20)

1 2 4 5 8 10 16 20 40 80 16,829 33,658 67,316 84,145 134,632 168,290 269,264 336,580 673,160 1,346,320

Collatz Trajectory (111 steps to reach 1)

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

1,346,320 673,160 336,580 168,290 84,145 252,436 126,218 63,109 189,328 94,664 47,332 23,666 11,833 35,500 17,750 8,875 26,626 13,313 39,940 19,970 9,985 29,956 14,978 7,489 22,468 11,234 5,617 16,852 8,426 4,213 12,640 6,320 3,160 1,580 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438

More profiles

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