λ
Harmonic Matrix

7,317,428

22 × 113 × 16189
Deficient Even Composite

7,317,428 has digital root 5. The neighboring primes are 7317407 and 7317433; its proper-divisor sum differs from the starting integer by -1,715,236.

Prime Factor Structure

Factorization String 2^2 × 113 × 16189
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 12,919,620
Proper Divisor Sum 5,602,192
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #7317407 ← → #7317433

Radix Representation

Decimal 7317428
Binary 11011111010011110110100 (23 bits)
Octal 0o33723664
Hexadecimal 0x6FA7B4

Divisor Catalog (12)

1 2 4 113 226 452 16,189 32,378 64,756 1,829,357 3,658,714 7,317,428

Collatz Trajectory (204 steps to reach 1)

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

7,317,428 3,658,714 1,829,357 5,488,072 2,744,036 1,372,018 686,009 2,058,028 1,029,014 514,507 1,543,522 771,761 2,315,284 1,157,642 578,821 1,736,464 868,232 434,116 217,058 108,529 325,588 162,794 81,397 244,192 122,096 61,048 30,524 15,262 7,631 22,894 11,447 34,342 17,171 51,514 25,757 77,272 38,636 19,318 9,659 28,978 14,489 43,468 21,734 10,867 32,602 16,301 48,904 24,452 12,226 6,113 18,340 9,170 4,585 13,756 6,878 3,439 10,318 5,159 15,478 7,739

More profiles

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