λ
Harmonic Matrix

1,004,906

2 × 7 × 179 × 401
Deficient Even Composite

1,004,906 has digital root 2. The neighboring primes are 1004903 and 1004911; its proper-divisor sum differs from the starting integer by -273,172.

Prime Factor Structure

Factorization String 2 × 7 × 179 × 401
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,736,640
Proper Divisor Sum 731,734
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #1004903 ← → #1004911

Radix Representation

Decimal 1004906
Binary 11110101010101101010 (20 bits)
Octal 0o3652552
Hexadecimal 0xF556A

Divisor Catalog (16)

1 2 7 14 179 358 401 802 1,253 2,506 2,807 5,614 71,779 143,558 502,453 1,004,906

Collatz Trajectory (64 steps to reach 1)

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

1,004,906 502,453 1,507,360 753,680 376,840 188,420 94,210 47,105 141,316 70,658 35,329 105,988 52,994 26,497 79,492 39,746 19,873 59,620 29,810 14,905 44,716 22,358 11,179 33,538 16,769 50,308 25,154 12,577 37,732 18,866 9,433 28,300 14,150 7,075 21,226 10,613 31,840 15,920 7,960 3,980 1,990 995 2,986 1,493 4,480 2,240 1,120 560 280 140 70 35 106 53 160 80 40 20 10 5

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