λ
Harmonic Matrix

4,406,572

22 × 73 × 15091
Deficient Even Composite

4,406,572 has digital root 1. The neighboring primes are 4406551 and 4406573; its proper-divisor sum differs from the starting integer by -995,488.

Prime Factor Structure

Factorization String 2^2 × 73 × 15091
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 7,817,656
Proper Divisor Sum 3,411,084
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #4406551 ← → #4406573

Radix Representation

Decimal 4406572
Binary 10000110011110100101100 (23 bits)
Octal 0o20636454
Hexadecimal 0x433D2C

Divisor Catalog (12)

1 2 4 73 146 292 15,091 30,182 60,364 1,101,643 2,203,286 4,406,572

Collatz Trajectory (87 steps to reach 1)

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

4,406,572 2,203,286 1,101,643 3,304,930 1,652,465 4,957,396 2,478,698 1,239,349 3,718,048 1,859,024 929,512 464,756 232,378 116,189 348,568 174,284 87,142 43,571 130,714 65,357 196,072 98,036 49,018 24,509 73,528 36,764 18,382 9,191 27,574 13,787 41,362 20,681 62,044 31,022 15,511 46,534 23,267 69,802 34,901 104,704 52,352 26,176 13,088 6,544 3,272 1,636 818 409 1,228 614 307 922 461 1,384 692 346 173 520 260 130

More profiles

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