λ
Harmonic Matrix

7,172,422

2 × 523 × 6857
Deficient Even Composite

7,172,422 has digital root 7. The neighboring primes are 7172411 and 7172423; its proper-divisor sum differs from the starting integer by -3,564,068.

Prime Factor Structure

Factorization String 2 × 523 × 6857
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,780,776
Proper Divisor Sum 3,608,354
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #7172411 ← → #7172423

Radix Representation

Decimal 7172422
Binary 11011010111000101000110 (23 bits)
Octal 0o33270506
Hexadecimal 0x6D7146

Divisor Catalog (8)

1 2 523 1,046 6,857 13,714 3,586,211 7,172,422

Collatz Trajectory (204 steps to reach 1)

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

7,172,422 3,586,211 10,758,634 5,379,317 16,137,952 8,068,976 4,034,488 2,017,244 1,008,622 504,311 1,512,934 756,467 2,269,402 1,134,701 3,404,104 1,702,052 851,026 425,513 1,276,540 638,270 319,135 957,406 478,703 1,436,110 718,055 2,154,166 1,077,083 3,231,250 1,615,625 4,846,876 2,423,438 1,211,719 3,635,158 1,817,579 5,452,738 2,726,369 8,179,108 4,089,554 2,044,777 6,134,332 3,067,166 1,533,583 4,600,750 2,300,375 6,901,126 3,450,563 10,351,690 5,175,845 15,527,536 7,763,768 3,881,884 1,940,942 970,471 2,911,414 1,455,707 4,367,122 2,183,561 6,550,684 3,275,342 1,637,671

More profiles

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