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Atlas › Integer Profiles › Node 4,325,552

4,325,552

24 × 7 × 11 × 3511
Abundant Even Composite

4,325,552 factors as 2^4 × 7 × 11 × 3511. Its 40 positive divisors give a proper-divisor sum of 6,126,160, so this integer is abundant. The Collatz stopping time is 118 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 11 × 3511
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 10,451,712
Proper Divisor Sum 6,126,160
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #4325549 ← → #4325557

Radix Representation

Decimal 4325552
Binary 10000100000000010110000 (23 bits)
Octal 0o20400260
Hexadecimal 0x4200B0

Divisor Catalog (40)

1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 616 1,232 3,511 7,022 14,044 24,577 28,088 38,621 49,154 56,176 77,242 98,308 154,484 196,616 270,347 308,968 393,232 540,694 617,936 1,081,388 2,162,776 4,325,552

Collatz Trajectory (118 steps to reach 1)

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

4,325,552 2,162,776 1,081,388 540,694 270,347 811,042 405,521 1,216,564 608,282 304,141 912,424 456,212 228,106 114,053 342,160 171,080 85,540 42,770 21,385 64,156 32,078 16,039 48,118 24,059 72,178 36,089 108,268 54,134 27,067 81,202 40,601 121,804 60,902 30,451 91,354 45,677 137,032 68,516 34,258 17,129 51,388 25,694 12,847 38,542 19,271 57,814 28,907 86,722 43,361 130,084 65,042 32,521 97,564 48,782 24,391 73,174 36,587 109,762 54,881 164,644

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