λ
Harmonic Matrix

3,318,728

23 × 7 × 59263
Abundant Even Composite

3,318,728 has digital root 5. The neighboring primes are 3318719 and 3318769; its proper-divisor sum differs from the starting integer by 474,224.

Prime Factor Structure

Factorization String 2^3 × 7 × 59263
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 7,111,680
Proper Divisor Sum 3,792,952
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #3318719 ← → #3318769

Radix Representation

Decimal 3318728
Binary 1100101010001111001000 (22 bits)
Octal 0o14521710
Hexadecimal 0x32A3C8

Divisor Catalog (16)

1 2 4 7 8 14 28 56 59,263 118,526 237,052 414,841 474,104 829,682 1,659,364 3,318,728

Collatz Trajectory (71 steps to reach 1)

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

3,318,728 1,659,364 829,682 414,841 1,244,524 622,262 311,131 933,394 466,697 1,400,092 700,046 350,023 1,050,070 525,035 1,575,106 787,553 2,362,660 1,181,330 590,665 1,771,996 885,998 442,999 1,328,998 664,499 1,993,498 996,749 2,990,248 1,495,124 747,562 373,781 1,121,344 560,672 280,336 140,168 70,084 35,042 17,521 52,564 26,282 13,141 39,424 19,712 9,856 4,928 2,464 1,232 616 308 154 77 232 116 58 29 88 44 22 11 34 17

More profiles

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