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Atlas › Integer Profiles › Node 4,525,152

4,525,152

25 × 3 × 47137
Abundant Even Composite

4,525,152 factors as 2^5 × 3 × 47137. Its 24 positive divisors give a proper-divisor sum of 7,353,624, so this integer is abundant. The Collatz stopping time is 87 steps.

Prime Factor Structure

Factorization String 2^5 × 3 × 47137
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 11,878,776
Proper Divisor Sum 7,353,624
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #4525151 ← → #4525177

Radix Representation

Decimal 4525152
Binary 10001010000110001100000 (23 bits)
Octal 0o21206140
Hexadecimal 0x450C60

Divisor Catalog (24)

1 2 3 4 6 8 12 16 24 32 48 96 47,137 94,274 141,411 188,548 282,822 377,096 565,644 754,192 1,131,288 1,508,384 2,262,576 4,525,152

Collatz Trajectory (87 steps to reach 1)

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

4,525,152 2,262,576 1,131,288 565,644 282,822 141,411 424,234 212,117 636,352 318,176 159,088 79,544 39,772 19,886 9,943 29,830 14,915 44,746 22,373 67,120 33,560 16,780 8,390 4,195 12,586 6,293 18,880 9,440 4,720 2,360 1,180 590 295 886 443 1,330 665 1,996 998 499 1,498 749 2,248 1,124 562 281 844 422 211 634 317 952 476 238 119 358 179 538 269 808

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