4,462,401

3 × 67 × 149²

4,462,401 has the prime decomposition 3 × 67 × 149^2. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 3 × 67 × 149^2

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,079,472

Proper Divisor Sum 1,617,071

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #4462387 ← → #4462429

Radix Representation

Decimal	4462401
Binary	10001000001011101000001 (23 bits)
Octal	0o21013501
Hexadecimal	0x441741

Divisor Catalog (12)

1 3 67 149 201 447 9,983 22,201 29,949 66,603 1,487,467 4,462,401

Collatz Trajectory (118 steps to reach 1)

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

4,462,401 13,387,204 6,693,602 3,346,801 10,040,404 5,020,202 2,510,101 7,530,304 3,765,152 1,882,576 941,288 470,644 235,322 117,661 352,984 176,492 88,246 44,123 132,370 66,185 198,556 99,278 49,639 148,918 74,459 223,378 111,689 335,068 167,534 83,767 251,302 125,651 376,954 188,477 565,432 282,716 141,358 70,679 212,038 106,019 318,058 159,029 477,088 238,544 119,272 59,636 29,818 14,909 44,728 22,364 11,182 5,591 16,774 8,387 25,162 12,581 37,744 18,872 9,436 4,718

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