λ
Harmonic Matrix

2,241,968

24 × 140123
Deficient Even Composite

2,241,968 has digital root 5. The neighboring primes are 2241959 and 2241989; its proper-divisor sum differs from the starting integer by -140,092.

Prime Factor Structure

Factorization String 2^4 × 140123
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 10
Divisor Sum (σ) 4,343,844
Proper Divisor Sum 2,101,876
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #2241959 ← → #2241989

Radix Representation

Decimal 2241968
Binary 1000100011010110110000 (22 bits)
Octal 0o10432660
Hexadecimal 0x2235B0

Divisor Catalog (10)

1 2 4 8 16 140,123 280,246 560,492 1,120,984 2,241,968

Collatz Trajectory (135 steps to reach 1)

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

2,241,968 1,120,984 560,492 280,246 140,123 420,370 210,185 630,556 315,278 157,639 472,918 236,459 709,378 354,689 1,064,068 532,034 266,017 798,052 399,026 199,513 598,540 299,270 149,635 448,906 224,453 673,360 336,680 168,340 84,170 42,085 126,256 63,128 31,564 15,782 7,891 23,674 11,837 35,512 17,756 8,878 4,439 13,318 6,659 19,978 9,989 29,968 14,984 7,492 3,746 1,873 5,620 2,810 1,405 4,216 2,108 1,054 527 1,582 791 2,374

More profiles

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