λ
Harmonic Matrix

1,542,478

2 × 7 × 17 × 6481
Deficient Even Composite

1,542,478 has digital root 4. The neighboring primes are 1542473 and 1542479; its proper-divisor sum differs from the starting integer by -284,732.

Prime Factor Structure

Factorization String 2 × 7 × 17 × 6481
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,800,224
Proper Divisor Sum 1,257,746
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #1542473 ← → #1542479

Radix Representation

Decimal 1542478
Binary 101111000100101001110 (21 bits)
Octal 0o5704516
Hexadecimal 0x17894E

Divisor Catalog (16)

1 2 7 14 17 34 119 238 6,481 12,962 45,367 90,734 110,177 220,354 771,239 1,542,478

Collatz Trajectory (194 steps to reach 1)

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

1,542,478 771,239 2,313,718 1,156,859 3,470,578 1,735,289 5,205,868 2,602,934 1,301,467 3,904,402 1,952,201 5,856,604 2,928,302 1,464,151 4,392,454 2,196,227 6,588,682 3,294,341 9,883,024 4,941,512 2,470,756 1,235,378 617,689 1,853,068 926,534 463,267 1,389,802 694,901 2,084,704 1,042,352 521,176 260,588 130,294 65,147 195,442 97,721 293,164 146,582 73,291 219,874 109,937 329,812 164,906 82,453 247,360 123,680 61,840 30,920 15,460 7,730 3,865 11,596 5,798 2,899 8,698 4,349 13,048 6,524 3,262 1,631

More profiles

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