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Atlas › Integer Profiles › Node 4,645,152

4,645,152

25 × 32 × 1272
Abundant Even Composite

4,645,152 factors as 2^5 × 3^2 × 127^2. Its 54 positive divisors give a proper-divisor sum of 8,669,331, so this integer is abundant. The Collatz stopping time is 193 steps.

Prime Factor Structure

Factorization String 2^5 × 3^2 × 127^2
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 54
Divisor Sum (σ) 13,314,483
Proper Divisor Sum 8,669,331
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4645141 ← → #4645153

Radix Representation

Decimal 4645152
Binary 10001101110000100100000 (23 bits)
Octal 0o21560440
Hexadecimal 0x46E120

Divisor Catalog (54)

1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 127 144 254 288 381 508 762 1,016 1,143 1,524 2,032 2,286 3,048 4,064 4,572 6,096 9,144 12,192 16,129 18,288 32,258 36,576 48,387 64,516 96,774 129,032 145,161 193,548 258,064 290,322 387,096 516,128 580,644 774,192 1,161,288 1,548,384 2,322,576 4,645,152

Collatz Trajectory (193 steps to reach 1)

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

4,645,152 2,322,576 1,161,288 580,644 290,322 145,161 435,484 217,742 108,871 326,614 163,307 489,922 244,961 734,884 367,442 183,721 551,164 275,582 137,791 413,374 206,687 620,062 310,031 930,094 465,047 1,395,142 697,571 2,092,714 1,046,357 3,139,072 1,569,536 784,768 392,384 196,192 98,096 49,048 24,524 12,262 6,131 18,394 9,197 27,592 13,796 6,898 3,449 10,348 5,174 2,587 7,762 3,881 11,644 5,822 2,911 8,734 4,367 13,102 6,551 19,654 9,827 29,482

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