λ
Harmonic Matrix

1,438,812

22 × 32 × 17 × 2351
Abundant Even Composite

1,438,812 has digital root 9. The neighboring primes are 1438793 and 1438817; its proper-divisor sum differs from the starting integer by 974,952.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 17 × 2351
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 3,852,576
Proper Divisor Sum 2,413,764
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1438793 ← → #1438817

Radix Representation

Decimal 1438812
Binary 101011111010001011100 (21 bits)
Octal 0o5372134
Hexadecimal 0x15F45C

Divisor Catalog (36)

1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 2,351 4,702 7,053 9,404 14,106 21,159 28,212 39,967 42,318 79,934 84,636 119,901 159,868 239,802 359,703 479,604 719,406 1,438,812

Collatz Trajectory (67 steps to reach 1)

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

1,438,812 719,406 359,703 1,079,110 539,555 1,618,666 809,333 2,428,000 1,214,000 607,000 303,500 151,750 75,875 227,626 113,813 341,440 170,720 85,360 42,680 21,340 10,670 5,335 16,006 8,003 24,010 12,005 36,016 18,008 9,004 4,502 2,251 6,754 3,377 10,132 5,066 2,533 7,600 3,800 1,900 950 475 1,426 713 2,140 1,070 535 1,606 803 2,410 1,205 3,616 1,808 904 452 226 113 340 170 85 256

More profiles

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