λ
Harmonic Matrix

3,334,436

22 × 7 × 119087
Abundant Even Composite

3,334,436 has digital root 8. The neighboring primes are 3334411 and 3334451; its proper-divisor sum differs from the starting integer by 56.

Prime Factor Structure

Factorization String 2^2 × 7 × 119087
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 6,668,928
Proper Divisor Sum 3,334,492
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #3334411 ← → #3334451

Radix Representation

Decimal 3334436
Binary 1100101110000100100100 (22 bits)
Octal 0o14560444
Hexadecimal 0x32E124

Divisor Catalog (12)

1 2 4 7 14 28 119,087 238,174 476,348 833,609 1,667,218 3,334,436

Collatz Trajectory (358 steps to reach 1)

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

3,334,436 1,667,218 833,609 2,500,828 1,250,414 625,207 1,875,622 937,811 2,813,434 1,406,717 4,220,152 2,110,076 1,055,038 527,519 1,582,558 791,279 2,373,838 1,186,919 3,560,758 1,780,379 5,341,138 2,670,569 8,011,708 4,005,854 2,002,927 6,008,782 3,004,391 9,013,174 4,506,587 13,519,762 6,759,881 20,279,644 10,139,822 5,069,911 15,209,734 7,604,867 22,814,602 11,407,301 34,221,904 17,110,952 8,555,476 4,277,738 2,138,869 6,416,608 3,208,304 1,604,152 802,076 401,038 200,519 601,558 300,779 902,338 451,169 1,353,508 676,754 338,377 1,015,132 507,566 253,783 761,350

More profiles

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