λ
Harmonic Matrix

9,374,052

22 × 3 × 781171
Abundant Even Composite

9,374,052 has digital root 3. The neighboring primes are 9374039 and 9374063; its proper-divisor sum differs from the starting integer by 3,124,712.

Prime Factor Structure

Factorization String 2^2 × 3 × 781171
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 21,872,816
Proper Divisor Sum 12,498,764
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #9374039 ← → #9374063

Radix Representation

Decimal 9374052
Binary 100011110000100101100100 (24 bits)
Octal 0o43604544
Hexadecimal 0x8F0964

Divisor Catalog (12)

1 2 3 4 6 12 781,171 1,562,342 2,343,513 3,124,684 4,687,026 9,374,052

Collatz Trajectory (194 steps to reach 1)

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

9,374,052 4,687,026 2,343,513 7,030,540 3,515,270 1,757,635 5,272,906 2,636,453 7,909,360 3,954,680 1,977,340 988,670 494,335 1,483,006 741,503 2,224,510 1,112,255 3,336,766 1,668,383 5,005,150 2,502,575 7,507,726 3,753,863 11,261,590 5,630,795 16,892,386 8,446,193 25,338,580 12,669,290 6,334,645 19,003,936 9,501,968 4,750,984 2,375,492 1,187,746 593,873 1,781,620 890,810 445,405 1,336,216 668,108 334,054 167,027 501,082 250,541 751,624 375,812 187,906 93,953 281,860 140,930 70,465 211,396 105,698 52,849 158,548 79,274 39,637 118,912 59,456

More profiles

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