λ
Harmonic Matrix

4,240,694

2 × 23 × 92189
Deficient Even Composite

4,240,694 has digital root 2. The neighboring primes are 4240693 and 4240697; its proper-divisor sum differs from the starting integer by -1,843,708.

Prime Factor Structure

Factorization String 2 × 23 × 92189
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,637,680
Proper Divisor Sum 2,396,986
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #4240693 ← → #4240697

Radix Representation

Decimal 4240694
Binary 10000001011010100110110 (23 bits)
Octal 0o20132466
Hexadecimal 0x40B536

Divisor Catalog (8)

1 2 23 46 92,189 184,378 2,120,347 4,240,694

Collatz Trajectory (242 steps to reach 1)

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

4,240,694 2,120,347 6,361,042 3,180,521 9,541,564 4,770,782 2,385,391 7,156,174 3,578,087 10,734,262 5,367,131 16,101,394 8,050,697 24,152,092 12,076,046 6,038,023 18,114,070 9,057,035 27,171,106 13,585,553 40,756,660 20,378,330 10,189,165 30,567,496 15,283,748 7,641,874 3,820,937 11,462,812 5,731,406 2,865,703 8,597,110 4,298,555 12,895,666 6,447,833 19,343,500 9,671,750 4,835,875 14,507,626 7,253,813 21,761,440 10,880,720 5,440,360 2,720,180 1,360,090 680,045 2,040,136 1,020,068 510,034 255,017 765,052 382,526 191,263 573,790 286,895 860,686 430,343 1,291,030 645,515 1,936,546 968,273

More profiles

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