λ
Harmonic Matrix

7,055,828

22 × 13 × 47 × 2887
Deficient Even Composite

7,055,828 has digital root 8. The neighboring primes are 7055819 and 7055857; its proper-divisor sum differs from the starting integer by -526,504.

Prime Factor Structure

Factorization String 2^2 × 13 × 47 × 2887
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 13,585,152
Proper Divisor Sum 6,529,324
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #7055819 ← → #7055857

Radix Representation

Decimal 7055828
Binary 11010111010100111010100 (23 bits)
Octal 0o32724724
Hexadecimal 0x6BA9D4

Divisor Catalog (24)

1 2 4 13 26 47 52 94 188 611 1,222 2,444 2,887 5,774 11,548 37,531 75,062 135,689 150,124 271,378 542,756 1,763,957 3,527,914 7,055,828

Collatz Trajectory (191 steps to reach 1)

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

7,055,828 3,527,914 1,763,957 5,291,872 2,645,936 1,322,968 661,484 330,742 165,371 496,114 248,057 744,172 372,086 186,043 558,130 279,065 837,196 418,598 209,299 627,898 313,949 941,848 470,924 235,462 117,731 353,194 176,597 529,792 264,896 132,448 66,224 33,112 16,556 8,278 4,139 12,418 6,209 18,628 9,314 4,657 13,972 6,986 3,493 10,480 5,240 2,620 1,310 655 1,966 983 2,950 1,475 4,426 2,213 6,640 3,320 1,660 830 415 1,246

More profiles

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