λ
Harmonic Matrix

4,432,465

5 × 886493
Deficient Odd Composite

4,432,465 has digital root 1. The neighboring primes are 4432457 and 4432471; its proper-divisor sum differs from the starting integer by -3,545,966.

Prime Factor Structure

Factorization String 5 × 886493
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 5,318,964
Proper Divisor Sum 886,499
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #4432457 ← → #4432471

Radix Representation

Decimal 4432465
Binary 10000111010001001010001 (23 bits)
Octal 0o20721121
Hexadecimal 0x43A251

Divisor Catalog (4)

1 5 886,493 4,432,465

Collatz Trajectory (193 steps to reach 1)

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

4,432,465 13,297,396 6,648,698 3,324,349 9,973,048 4,986,524 2,493,262 1,246,631 3,739,894 1,869,947 5,609,842 2,804,921 8,414,764 4,207,382 2,103,691 6,311,074 3,155,537 9,466,612 4,733,306 2,366,653 7,099,960 3,549,980 1,774,990 887,495 2,662,486 1,331,243 3,993,730 1,996,865 5,990,596 2,995,298 1,497,649 4,492,948 2,246,474 1,123,237 3,369,712 1,684,856 842,428 421,214 210,607 631,822 315,911 947,734 473,867 1,421,602 710,801 2,132,404 1,066,202 533,101 1,599,304 799,652 399,826 199,913 599,740 299,870 149,935 449,806 224,903 674,710 337,355 1,012,066

More profiles

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