λ
Harmonic Matrix

3,512,267

112 × 29027
Deficient Odd Composite

3,512,267 has digital root 8. The neighboring primes are 3512239 and 3512279; its proper-divisor sum differs from the starting integer by -3,163,810.

Prime Factor Structure

Factorization String 11^2 × 29027
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 3,860,724
Proper Divisor Sum 348,457
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #3512239 ← → #3512279

Radix Representation

Decimal 3512267
Binary 1101011001011111001011 (22 bits)
Octal 0o15313713
Hexadecimal 0x3597CB

Divisor Catalog (6)

1 11 121 29,027 319,297 3,512,267

Collatz Trajectory (97 steps to reach 1)

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

3,512,267 10,536,802 5,268,401 15,805,204 7,902,602 3,951,301 11,853,904 5,926,952 2,963,476 1,481,738 740,869 2,222,608 1,111,304 555,652 277,826 138,913 416,740 208,370 104,185 312,556 156,278 78,139 234,418 117,209 351,628 175,814 87,907 263,722 131,861 395,584 197,792 98,896 49,448 24,724 12,362 6,181 18,544 9,272 4,636 2,318 1,159 3,478 1,739 5,218 2,609 7,828 3,914 1,957 5,872 2,936 1,468 734 367 1,102 551 1,654 827 2,482 1,241 3,724

More profiles

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