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Atlas › Integer Profiles › Node 4,868,656

4,868,656

24 × 13 × 89 × 263
Abundant Even Composite

4,868,656 factors as 2^4 × 13 × 89 × 263. Its 40 positive divisors give a proper-divisor sum of 5,443,184, so this integer is abundant. The Collatz stopping time is 175 steps.

Prime Factor Structure

Factorization String 2^4 × 13 × 89 × 263
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 10,311,840
Proper Divisor Sum 5,443,184
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #4868653 ← → #4868657

Radix Representation

Decimal 4868656
Binary 10010100100101000110000 (23 bits)
Octal 0o22445060
Hexadecimal 0x4A4A30

Divisor Catalog (40)

1 2 4 8 13 16 26 52 89 104 178 208 263 356 526 712 1,052 1,157 1,424 2,104 2,314 3,419 4,208 4,628 6,838 9,256 13,676 18,512 23,407 27,352 46,814 54,704 93,628 187,256 304,291 374,512 608,582 1,217,164 2,434,328 4,868,656

Collatz Trajectory (175 steps to reach 1)

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

4,868,656 2,434,328 1,217,164 608,582 304,291 912,874 456,437 1,369,312 684,656 342,328 171,164 85,582 42,791 128,374 64,187 192,562 96,281 288,844 144,422 72,211 216,634 108,317 324,952 162,476 81,238 40,619 121,858 60,929 182,788 91,394 45,697 137,092 68,546 34,273 102,820 51,410 25,705 77,116 38,558 19,279 57,838 28,919 86,758 43,379 130,138 65,069 195,208 97,604 48,802 24,401 73,204 36,602 18,301 54,904 27,452 13,726 6,863 20,590 10,295 30,886

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