λ
Harmonic Matrix

1,438,430

2 × 5 × 7 × 20549
Abundant Even Composite

1,438,430 has digital root 5. The neighboring primes are 1438417 and 1438447; its proper-divisor sum differs from the starting integer by 82,340.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 20549
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,959,200
Proper Divisor Sum 1,520,770
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #1438417 ← → #1438447

Radix Representation

Decimal 1438430
Binary 101011111001011011110 (21 bits)
Octal 0o5371336
Hexadecimal 0x15F2DE

Divisor Catalog (16)

1 2 5 7 10 14 35 70 20,549 41,098 102,745 143,843 205,490 287,686 719,215 1,438,430

Collatz Trajectory (168 steps to reach 1)

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

1,438,430 719,215 2,157,646 1,078,823 3,236,470 1,618,235 4,854,706 2,427,353 7,282,060 3,641,030 1,820,515 5,461,546 2,730,773 8,192,320 4,096,160 2,048,080 1,024,040 512,020 256,010 128,005 384,016 192,008 96,004 48,002 24,001 72,004 36,002 18,001 54,004 27,002 13,501 40,504 20,252 10,126 5,063 15,190 7,595 22,786 11,393 34,180 17,090 8,545 25,636 12,818 6,409 19,228 9,614 4,807 14,422 7,211 21,634 10,817 32,452 16,226 8,113 24,340 12,170 6,085 18,256 9,128

More profiles

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