λ
Harmonic Matrix

5,652,342

2 × 34 × 23 × 37 × 41
Abundant Even Composite

5,652,342 has digital root 9. The neighboring primes are 5652341 and 5652349; its proper-divisor sum differs from the starting integer by 2,599,668.

Prime Factor Structure

Factorization String 2 × 3^4 × 23 × 37 × 41
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 13,904,352
Proper Divisor Sum 8,252,010
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #5652341 ← → #5652349

Radix Representation

Decimal 5652342
Binary 10101100011111101110110 (23 bits)
Octal 0o25437566
Hexadecimal 0x563F76

Divisor Catalog (60 of 80)

1 2 3 6 9 18 23 27 37 41 46 54 69 74 81 82 111 123 138 162 207 222 246 333 369 414 621 666 738 851 943 999 1,107 1,242 1,517 1,702 1,863 1,886 1,998 2,214 2,553 2,829 2,997 3,034 3,321 3,726 4,551 5,106 5,658 5,994 6,642 7,659 8,487 9,102 13,653 15,318 16,974 22,977 25,461 27,306

Collatz Trajectory (170 steps to reach 1)

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

5,652,342 2,826,171 8,478,514 4,239,257 12,717,772 6,358,886 3,179,443 9,538,330 4,769,165 14,307,496 7,153,748 3,576,874 1,788,437 5,365,312 2,682,656 1,341,328 670,664 335,332 167,666 83,833 251,500 125,750 62,875 188,626 94,313 282,940 141,470 70,735 212,206 106,103 318,310 159,155 477,466 238,733 716,200 358,100 179,050 89,525 268,576 134,288 67,144 33,572 16,786 8,393 25,180 12,590 6,295 18,886 9,443 28,330 14,165 42,496 21,248 10,624 5,312 2,656 1,328 664 332 166

More profiles

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