λ
Harmonic Matrix

3,460,818

2 × 3 × 67 × 8609
Abundant Even Composite

3,460,818 has digital root 3. The neighboring primes are 3460813 and 3460819; its proper-divisor sum differs from the starting integer by 104,124.

Prime Factor Structure

Factorization String 2 × 3 × 67 × 8609
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 7,025,760
Proper Divisor Sum 3,564,942
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3460813 ← → #3460819

Radix Representation

Decimal 3460818
Binary 1101001100111011010010 (22 bits)
Octal 0o15147322
Hexadecimal 0x34CED2

Divisor Catalog (16)

1 2 3 6 67 134 201 402 8,609 17,218 25,827 51,654 576,803 1,153,606 1,730,409 3,460,818

Collatz Trajectory (71 steps to reach 1)

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

3,460,818 1,730,409 5,191,228 2,595,614 1,297,807 3,893,422 1,946,711 5,840,134 2,920,067 8,760,202 4,380,101 13,140,304 6,570,152 3,285,076 1,642,538 821,269 2,463,808 1,231,904 615,952 307,976 153,988 76,994 38,497 115,492 57,746 28,873 86,620 43,310 21,655 64,966 32,483 97,450 48,725 146,176 73,088 36,544 18,272 9,136 4,568 2,284 1,142 571 1,714 857 2,572 1,286 643 1,930 965 2,896 1,448 724 362 181 544 272 136 68 34 17

More profiles

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