λ
Harmonic Matrix

3,315,880

23 × 5 × 19 × 4363
Abundant Even Composite

3,315,880 has digital root 1. The neighboring primes are 3315877 and 3315883; its proper-divisor sum differs from the starting integer by 1,223,440.

Prime Factor Structure

Factorization String 2^3 × 5 × 19 × 4363
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,855,200
Proper Divisor Sum 4,539,320
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #3315877 ← → #3315883

Radix Representation

Decimal 3315880
Binary 1100101001100010101000 (22 bits)
Octal 0o14514250
Hexadecimal 0x3298A8

Divisor Catalog (32)

1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 4,363 8,726 17,452 21,815 34,904 43,630 82,897 87,260 165,794 174,520 331,588 414,485 663,176 828,970 1,657,940 3,315,880

Collatz Trajectory (177 steps to reach 1)

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

3,315,880 1,657,940 828,970 414,485 1,243,456 621,728 310,864 155,432 77,716 38,858 19,429 58,288 29,144 14,572 7,286 3,643 10,930 5,465 16,396 8,198 4,099 12,298 6,149 18,448 9,224 4,612 2,306 1,153 3,460 1,730 865 2,596 1,298 649 1,948 974 487 1,462 731 2,194 1,097 3,292 1,646 823 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587

More profiles

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