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Atlas › Integer Profiles › Node 4,530,448

4,530,448

24 × 13 × 23 × 947
Abundant Even Composite

4,530,448 factors as 2^4 × 13 × 23 × 947. Its 40 positive divisors give a proper-divisor sum of 5,343,920, so this integer is abundant. The Collatz stopping time is 105 steps.

Prime Factor Structure

Factorization String 2^4 × 13 × 23 × 947
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 9,874,368
Proper Divisor Sum 5,343,920
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #4530443 ← → #4530451

Radix Representation

Decimal 4530448
Binary 10001010010000100010000 (23 bits)
Octal 0o21220420
Hexadecimal 0x452110

Divisor Catalog (40)

1 2 4 8 13 16 23 26 46 52 92 104 184 208 299 368 598 947 1,196 1,894 2,392 3,788 4,784 7,576 12,311 15,152 21,781 24,622 43,562 49,244 87,124 98,488 174,248 196,976 283,153 348,496 566,306 1,132,612 2,265,224 4,530,448

Collatz Trajectory (105 steps to reach 1)

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

4,530,448 2,265,224 1,132,612 566,306 283,153 849,460 424,730 212,365 637,096 318,548 159,274 79,637 238,912 119,456 59,728 29,864 14,932 7,466 3,733 11,200 5,600 2,800 1,400 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858

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