λ
Harmonic Matrix

3,506,023

3506023
Deficient Odd Prime

3,506,023 has digital root 1. The neighboring primes are 3505991 and 3506039; its proper-divisor sum differs from the starting integer by -3,506,022.

Prime Factor Structure

Factorization String 3506023
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 3,506,024
Proper Divisor Sum 1
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #3505991 ← → #3506039

Radix Representation

Decimal 3506023
Binary 1101010111111101100111 (22 bits)
Octal 0o15277547
Hexadecimal 0x357F67

Divisor Catalog (2)

1 3,506,023

Collatz Trajectory (296 steps to reach 1)

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

3,506,023 10,518,070 5,259,035 15,777,106 7,888,553 23,665,660 11,832,830 5,916,415 17,749,246 8,874,623 26,623,870 13,311,935 39,935,806 19,967,903 59,903,710 29,951,855 89,855,566 44,927,783 134,783,350 67,391,675 202,175,026 101,087,513 303,262,540 151,631,270 75,815,635 227,446,906 113,723,453 341,170,360 170,585,180 85,292,590 42,646,295 127,938,886 63,969,443 191,908,330 95,954,165 287,862,496 143,931,248 71,965,624 35,982,812 17,991,406 8,995,703 26,987,110 13,493,555 40,480,666 20,240,333 60,721,000 30,360,500 15,180,250 7,590,125 22,770,376 11,385,188 5,692,594 2,846,297 8,538,892 4,269,446 2,134,723 6,404,170 3,202,085 9,606,256 4,803,128

More profiles

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