λ
Harmonic Matrix

3,435,274

2 × 1717637
Deficient Even Composite

3,435,274 has digital root 1. The neighboring primes are 3435251 and 3435281; its proper-divisor sum differs from the starting integer by -1,717,634.

Prime Factor Structure

Factorization String 2 × 1717637
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 5,152,914
Proper Divisor Sum 1,717,640
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #3435251 ← → #3435281

Radix Representation

Decimal 3435274
Binary 1101000110101100001010 (22 bits)
Octal 0o15065412
Hexadecimal 0x346B0A

Divisor Catalog (4)

1 2 1,717,637 3,435,274

Collatz Trajectory (128 steps to reach 1)

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

3,435,274 1,717,637 5,152,912 2,576,456 1,288,228 644,114 322,057 966,172 483,086 241,543 724,630 362,315 1,086,946 543,473 1,630,420 815,210 407,605 1,222,816 611,408 305,704 152,852 76,426 38,213 114,640 57,320 28,660 14,330 7,165 21,496 10,748 5,374 2,687 8,062 4,031 12,094 6,047 18,142 9,071 27,214 13,607 40,822 20,411 61,234 30,617 91,852 45,926 22,963 68,890 34,445 103,336 51,668 25,834 12,917 38,752 19,376 9,688 4,844 2,422 1,211 3,634

More profiles

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