λ
Harmonic Matrix

1,067,828

22 × 266957
Deficient Even Composite

1,067,828 has digital root 5. The neighboring primes are 1067797 and 1067831; its proper-divisor sum differs from the starting integer by -266,950.

Prime Factor Structure

Factorization String 2^2 × 266957
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 1,868,706
Proper Divisor Sum 800,878
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #1067797 ← → #1067831

Radix Representation

Decimal 1067828
Binary 100000100101100110100 (21 bits)
Octal 0o4045464
Hexadecimal 0x104B34

Divisor Catalog (6)

1 2 4 266,957 533,914 1,067,828

Collatz Trajectory (95 steps to reach 1)

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

1,067,828 533,914 266,957 800,872 400,436 200,218 100,109 300,328 150,164 75,082 37,541 112,624 56,312 28,156 14,078 7,039 21,118 10,559 31,678 15,839 47,518 23,759 71,278 35,639 106,918 53,459 160,378 80,189 240,568 120,284 60,142 30,071 90,214 45,107 135,322 67,661 202,984 101,492 50,746 25,373 76,120 38,060 19,030 9,515 28,546 14,273 42,820 21,410 10,705 32,116 16,058 8,029 24,088 12,044 6,022 3,011 9,034 4,517 13,552 6,776

More profiles

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