λ
Harmonic Matrix

1,065,507

3 × 173 × 2053
Deficient Odd Composite

1,065,507 has digital root 6. The neighboring primes are 1065503 and 1065511; its proper-divisor sum differs from the starting integer by -701,430.

Prime Factor Structure

Factorization String 3 × 173 × 2053
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,429,584
Proper Divisor Sum 364,077
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #1065503 ← → #1065511

Radix Representation

Decimal 1065507
Binary 100000100001000100011 (21 bits)
Octal 0o4041043
Hexadecimal 0x104223

Divisor Catalog (8)

1 3 173 519 2,053 6,159 355,169 1,065,507

Collatz Trajectory (209 steps to reach 1)

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

1,065,507 3,196,522 1,598,261 4,794,784 2,397,392 1,198,696 599,348 299,674 149,837 449,512 224,756 112,378 56,189 168,568 84,284 42,142 21,071 63,214 31,607 94,822 47,411 142,234 71,117 213,352 106,676 53,338 26,669 80,008 40,004 20,002 10,001 30,004 15,002 7,501 22,504 11,252 5,626 2,813 8,440 4,220 2,110 1,055 3,166 1,583 4,750 2,375 7,126 3,563 10,690 5,345 16,036 8,018 4,009 12,028 6,014 3,007 9,022 4,511 13,534 6,767

More profiles

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