λ
Harmonic Matrix

1,610,473

1610473
Deficient Odd Prime

1,610,473 has digital root 4. The neighboring primes are 1610471 and 1610501; its proper-divisor sum differs from the starting integer by -1,610,472.

Prime Factor Structure

Factorization String 1610473
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 1,610,474
Proper Divisor Sum 1
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #1610471 ← → #1610501

Radix Representation

Decimal 1610473
Binary 110001001001011101001 (21 bits)
Octal 0o6111351
Hexadecimal 0x1892E9

Divisor Catalog (2)

Collatz Trajectory (101 steps to reach 1)

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

1,610,473 4,831,420 2,415,710 1,207,855 3,623,566 1,811,783 5,435,350 2,717,675 8,153,026 4,076,513 12,229,540 6,114,770 3,057,385 9,172,156 4,586,078 2,293,039 6,879,118 3,439,559 10,318,678 5,159,339 15,478,018 7,739,009 23,217,028 11,608,514 5,804,257 17,412,772 8,706,386 4,353,193 13,059,580 6,529,790 3,264,895 9,794,686 4,897,343 14,692,030 7,346,015 22,038,046 11,019,023 33,057,070 16,528,535 49,585,606 24,792,803 74,378,410 37,189,205 111,567,616 55,783,808 27,891,904 13,945,952 6,972,976 3,486,488 1,743,244 871,622 435,811 1,307,434 653,717 1,961,152 980,576 490,288 245,144 122,572 61,286

More profiles

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