λ
Harmonic Matrix

1,506,449

7 × 307 × 701
Deficient Odd Composite

1,506,449 has digital root 2. The neighboring primes are 1506443 and 1506457; its proper-divisor sum differs from the starting integer by -1,283,170.

Prime Factor Structure

Factorization String 7 × 307 × 701
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,729,728
Proper Divisor Sum 223,279
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #1506443 ← → #1506457

Radix Representation

Decimal 1506449
Binary 101101111110010010001 (21 bits)
Octal 0o5576221
Hexadecimal 0x16FC91

Divisor Catalog (8)

1 7 307 701 2,149 4,907 215,207 1,506,449

Collatz Trajectory (225 steps to reach 1)

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

1,506,449 4,519,348 2,259,674 1,129,837 3,389,512 1,694,756 847,378 423,689 1,271,068 635,534 317,767 953,302 476,651 1,429,954 714,977 2,144,932 1,072,466 536,233 1,608,700 804,350 402,175 1,206,526 603,263 1,809,790 904,895 2,714,686 1,357,343 4,072,030 2,036,015 6,108,046 3,054,023 9,162,070 4,581,035 13,743,106 6,871,553 20,614,660 10,307,330 5,153,665 15,460,996 7,730,498 3,865,249 11,595,748 5,797,874 2,898,937 8,696,812 4,348,406 2,174,203 6,522,610 3,261,305 9,783,916 4,891,958 2,445,979 7,337,938 3,668,969 11,006,908 5,503,454 2,751,727 8,255,182 4,127,591 12,382,774

More profiles

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