λ
Harmonic Matrix

6,215,556

22 × 3 × 37 × 13999
Abundant Even Composite

6,215,556 has digital root 3. The neighboring primes are 6215551 and 6215579; its proper-divisor sum differs from the starting integer by 2,464,888.

Prime Factor Structure

Factorization String 2^2 × 3 × 37 × 13999
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 14,896,000
Proper Divisor Sum 8,680,444
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #6215551 ← → #6215579

Radix Representation

Decimal 6215556
Binary 10111101101011110000100 (23 bits)
Octal 0o27553604
Hexadecimal 0x5ED784

Divisor Catalog (24)

1 2 3 4 6 12 37 74 111 148 222 444 13,999 27,998 41,997 55,996 83,994 167,988 517,963 1,035,926 1,553,889 2,071,852 3,107,778 6,215,556

Collatz Trajectory (196 steps to reach 1)

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

6,215,556 3,107,778 1,553,889 4,661,668 2,330,834 1,165,417 3,496,252 1,748,126 874,063 2,622,190 1,311,095 3,933,286 1,966,643 5,899,930 2,949,965 8,849,896 4,424,948 2,212,474 1,106,237 3,318,712 1,659,356 829,678 414,839 1,244,518 622,259 1,866,778 933,389 2,800,168 1,400,084 700,042 350,021 1,050,064 525,032 262,516 131,258 65,629 196,888 98,444 49,222 24,611 73,834 36,917 110,752 55,376 27,688 13,844 6,922 3,461 10,384 5,192 2,596 1,298 649 1,948 974 487 1,462 731 2,194 1,097

More profiles

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