λ
Harmonic Matrix

7,450,182

2 × 32 × 17 × 97 × 251
Abundant Even Composite

7,450,182 has digital root 9. The neighboring primes are 7450181 and 7450193; its proper-divisor sum differs from the starting integer by 2,436,228.

Prime Factor Structure

Factorization String 2 × 3^2 × 17 × 97 × 251
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 17,336,592
Proper Divisor Sum 9,886,410
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #7450181 ← → #7450193

Radix Representation

Decimal 7450182
Binary 11100011010111001000110 (23 bits)
Octal 0o34327106
Hexadecimal 0x71AE46

Divisor Catalog (48)

1 2 3 6 9 17 18 34 51 97 102 153 194 251 291 306 502 582 753 873 1,506 1,649 1,746 2,259 3,298 4,267 4,518 4,947 8,534 9,894 12,801 14,841 24,347 25,602 29,682 38,403 48,694 73,041 76,806 146,082 219,123 413,899 438,246 827,798 1,241,697 2,483,394 3,725,091 7,450,182

Collatz Trajectory (142 steps to reach 1)

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

7,450,182 3,725,091 11,175,274 5,587,637 16,762,912 8,381,456 4,190,728 2,095,364 1,047,682 523,841 1,571,524 785,762 392,881 1,178,644 589,322 294,661 883,984 441,992 220,996 110,498 55,249 165,748 82,874 41,437 124,312 62,156 31,078 15,539 46,618 23,309 69,928 34,964 17,482 8,741 26,224 13,112 6,556 3,278 1,639 4,918 2,459 7,378 3,689 11,068 5,534 2,767 8,302 4,151 12,454 6,227 18,682 9,341 28,024 14,012 7,006 3,503 10,510 5,255 15,766 7,883

More profiles

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