λ
Harmonic Matrix

9,426,224

24 × 589139
Deficient Even Composite

9,426,224 has digital root 2. The neighboring primes are 9426199 and 9426239; its proper-divisor sum differs from the starting integer by -589,108.

Prime Factor Structure

Factorization String 2^4 × 589139
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 10
Divisor Sum (σ) 18,263,340
Proper Divisor Sum 8,837,116
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #9426199 ← → #9426239

Radix Representation

Decimal 9426224
Binary 100011111101010100110000 (24 bits)
Octal 0o43752460
Hexadecimal 0x8FD530

Divisor Catalog (10)

1 2 4 8 16 589,139 1,178,278 2,356,556 4,713,112 9,426,224

Collatz Trajectory (176 steps to reach 1)

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

9,426,224 4,713,112 2,356,556 1,178,278 589,139 1,767,418 883,709 2,651,128 1,325,564 662,782 331,391 994,174 497,087 1,491,262 745,631 2,236,894 1,118,447 3,355,342 1,677,671 5,033,014 2,516,507 7,549,522 3,774,761 11,324,284 5,662,142 2,831,071 8,493,214 4,246,607 12,739,822 6,369,911 19,109,734 9,554,867 28,664,602 14,332,301 42,996,904 21,498,452 10,749,226 5,374,613 16,123,840 8,061,920 4,030,960 2,015,480 1,007,740 503,870 251,935 755,806 377,903 1,133,710 566,855 1,700,566 850,283 2,550,850 1,275,425 3,826,276 1,913,138 956,569 2,869,708 1,434,854 717,427 2,152,282

More profiles

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