λ
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4,290,572

22 × 11 × 132 × 577
Abundant Even Composite

4,290,572 factors as 2^2 × 11 × 13^2 × 577. Its 36 positive divisors give a proper-divisor sum of 4,594,444, so this integer is abundant. The Collatz stopping time is 167 steps.

Prime Factor Structure

Factorization String 2^2 × 11 × 13^2 × 577
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 8,885,016
Proper Divisor Sum 4,594,444
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #4290553 ← → #4290641

Radix Representation

Decimal 4290572
Binary 10000010111100000001100 (23 bits)
Octal 0o20274014
Hexadecimal 0x41780C

Divisor Catalog (36)

1 2 4 11 13 22 26 44 52 143 169 286 338 572 577 676 1,154 1,859 2,308 3,718 6,347 7,436 7,501 12,694 15,002 25,388 30,004 82,511 97,513 165,022 195,026 330,044 390,052 1,072,643 2,145,286 4,290,572

Collatz Trajectory (167 steps to reach 1)

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

4,290,572 2,145,286 1,072,643 3,217,930 1,608,965 4,826,896 2,413,448 1,206,724 603,362 301,681 905,044 452,522 226,261 678,784 339,392 169,696 84,848 42,424 21,212 10,606 5,303 15,910 7,955 23,866 11,933 35,800 17,900 8,950 4,475 13,426 6,713 20,140 10,070 5,035 15,106 7,553 22,660 11,330 5,665 16,996 8,498 4,249 12,748 6,374 3,187 9,562 4,781 14,344 7,172 3,586 1,793 5,380 2,690 1,345 4,036 2,018 1,009 3,028 1,514 757

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