λ
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Atlas › Integer Profiles › Node 4,884,416

4,884,416

26 × 167 × 457
Abundant Even Composite

4,884,416 factors as 2^6 × 167 × 457. Its 28 positive divisors give a proper-divisor sum of 4,887,472, so this integer is abundant. The Collatz stopping time is 61 steps.

Prime Factor Structure

Factorization String 2^6 × 167 × 457
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 9,771,888
Proper Divisor Sum 4,887,472
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #4884401 ← → #4884419

Radix Representation

Decimal 4884416
Binary 10010101000011111000000 (23 bits)
Octal 0o22503700
Hexadecimal 0x4A87C0

Divisor Catalog (28)

1 2 4 8 16 32 64 167 334 457 668 914 1,336 1,828 2,672 3,656 5,344 7,312 10,688 14,624 29,248 76,319 152,638 305,276 610,552 1,221,104 2,442,208 4,884,416

Collatz Trajectory (61 steps to reach 1)

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

4,884,416 2,442,208 1,221,104 610,552 305,276 152,638 76,319 228,958 114,479 343,438 171,719 515,158 257,579 772,738 386,369 1,159,108 579,554 289,777 869,332 434,666 217,333 652,000 326,000 163,000 81,500 40,750 20,375 61,126 30,563 91,690 45,845 137,536 68,768 34,384 17,192 8,596 4,298 2,149 6,448 3,224 1,612 806 403 1,210 605 1,816 908 454 227 682 341 1,024 512 256 128 64 32 16 8 4

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