λ
Harmonic Matrix

3,004,721

251 × 11971
Deficient Odd Composite

3,004,721 has digital root 8. The neighboring primes are 3004681 and 3004723; its proper-divisor sum differs from the starting integer by -2,992,498.

Prime Factor Structure

Factorization String 251 × 11971
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,016,944
Proper Divisor Sum 12,223
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #3004681 ← → #3004723

Radix Representation

Decimal 3004721
Binary 1011011101100100110001 (22 bits)
Octal 0o13354461
Hexadecimal 0x2DD931

Divisor Catalog (4)

1 251 11,971 3,004,721

Collatz Trajectory (112 steps to reach 1)

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

3,004,721 9,014,164 4,507,082 2,253,541 6,760,624 3,380,312 1,690,156 845,078 422,539 1,267,618 633,809 1,901,428 950,714 475,357 1,426,072 713,036 356,518 178,259 534,778 267,389 802,168 401,084 200,542 100,271 300,814 150,407 451,222 225,611 676,834 338,417 1,015,252 507,626 253,813 761,440 380,720 190,360 95,180 47,590 23,795 71,386 35,693 107,080 53,540 26,770 13,385 40,156 20,078 10,039 30,118 15,059 45,178 22,589 67,768 33,884 16,942 8,471 25,414 12,707 38,122 19,061

More profiles

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