λ
Harmonic Matrix

3,016,748

22 × 7 × 107741
Abundant Even Composite

3,016,748 has digital root 2. The neighboring primes are 3016747 and 3016753; its proper-divisor sum differs from the starting integer by 56.

Prime Factor Structure

Factorization String 2^2 × 7 × 107741
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 6,033,552
Proper Divisor Sum 3,016,804
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #3016747 ← → #3016753

Radix Representation

Decimal 3016748
Binary 1011100000100000101100 (22 bits)
Octal 0o13404054
Hexadecimal 0x2E082C

Divisor Catalog (12)

1 2 4 7 14 28 107,741 215,482 430,964 754,187 1,508,374 3,016,748

Collatz Trajectory (89 steps to reach 1)

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

3,016,748 1,508,374 754,187 2,262,562 1,131,281 3,393,844 1,696,922 848,461 2,545,384 1,272,692 636,346 318,173 954,520 477,260 238,630 119,315 357,946 178,973 536,920 268,460 134,230 67,115 201,346 100,673 302,020 151,010 75,505 226,516 113,258 56,629 169,888 84,944 42,472 21,236 10,618 5,309 15,928 7,964 3,982 1,991 5,974 2,987 8,962 4,481 13,444 6,722 3,361 10,084 5,042 2,521 7,564 3,782 1,891 5,674 2,837 8,512 4,256 2,128 1,064 532

More profiles

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