λ
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4,355,232

25 × 3 × 7 × 6481
Abundant Even Composite

4,355,232 factors as 2^5 × 3 × 7 × 6481. Its 48 positive divisors give a proper-divisor sum of 8,712,480, so this integer is abundant. The Collatz stopping time is 136 steps.

Prime Factor Structure

Factorization String 2^5 × 3 × 7 × 6481
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 13,067,712
Proper Divisor Sum 8,712,480
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #4355231 ← → #4355243

Radix Representation

Decimal 4355232
Binary 10000100111010010100000 (23 bits)
Octal 0o20472240
Hexadecimal 0x4274A0

Divisor Catalog (48)

1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 6,481 12,962 19,443 25,924 38,886 45,367 51,848 77,772 90,734 103,696 136,101 155,544 181,468 207,392 272,202 311,088 362,936 544,404 622,176 725,872 1,088,808 1,451,744 2,177,616 4,355,232

Collatz Trajectory (136 steps to reach 1)

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

4,355,232 2,177,616 1,088,808 544,404 272,202 136,101 408,304 204,152 102,076 51,038 25,519 76,558 38,279 114,838 57,419 172,258 86,129 258,388 129,194 64,597 193,792 96,896 48,448 24,224 12,112 6,056 3,028 1,514 757 2,272 1,136 568 284 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790

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