λ
Harmonic Matrix

7,288,988

22 × 7 × 17 × 15313
Abundant Even Composite

7,288,988 has digital root 5. The neighboring primes are 7288979 and 7288993; its proper-divisor sum differs from the starting integer by 858,536.

Prime Factor Structure

Factorization String 2^2 × 7 × 17 × 15313
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 15,436,512
Proper Divisor Sum 8,147,524
Digit Sum / Digital Root 50 (Root: 5)
Adjacent Primes #7288979 ← → #7288993

Radix Representation

Decimal 7288988
Binary 11011110011100010011100 (23 bits)
Octal 0o33634234
Hexadecimal 0x6F389C

Divisor Catalog (24)

1 2 4 7 14 17 28 34 68 119 238 476 15,313 30,626 61,252 107,191 214,382 260,321 428,764 520,642 1,041,284 1,822,247 3,644,494 7,288,988

Collatz Trajectory (59 steps to reach 1)

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

7,288,988 3,644,494 1,822,247 5,466,742 2,733,371 8,200,114 4,100,057 12,300,172 6,150,086 3,075,043 9,225,130 4,612,565 13,837,696 6,918,848 3,459,424 1,729,712 864,856 432,428 216,214 108,107 324,322 162,161 486,484 243,242 121,621 364,864 182,432 91,216 45,608 22,804 11,402 5,701 17,104 8,552 4,276 2,138 1,069 3,208 1,604 802 401 1,204 602 301 904 452 226 113 340 170 85 256 128 64 32 16 8 4 2 1

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