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Atlas › Integer Profiles › Node 4,858,828

4,858,828

22 × 13 × 41 × 43 × 53
Abundant Even Composite

4,858,828 factors as 2^2 × 13 × 41 × 43 × 53. Its 48 positive divisors give a proper-divisor sum of 4,920,788, so this integer is abundant. The Collatz stopping time is 268 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 41 × 43 × 53
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 9,779,616
Proper Divisor Sum 4,920,788
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #4858823 ← → #4858831

Radix Representation

Decimal 4858828
Binary 10010100010001111001100 (23 bits)
Octal 0o22421714
Hexadecimal 0x4A23CC

Divisor Catalog (48)

1 2 4 13 26 41 43 52 53 82 86 106 164 172 212 533 559 689 1,066 1,118 1,378 1,763 2,132 2,173 2,236 2,279 2,756 3,526 4,346 4,558 7,052 8,692 9,116 22,919 28,249 29,627 45,838 56,498 59,254 91,676 93,439 112,996 118,508 186,878 373,756 1,214,707 2,429,414 4,858,828

Collatz Trajectory (268 steps to reach 1)

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

4,858,828 2,429,414 1,214,707 3,644,122 1,822,061 5,466,184 2,733,092 1,366,546 683,273 2,049,820 1,024,910 512,455 1,537,366 768,683 2,306,050 1,153,025 3,459,076 1,729,538 864,769 2,594,308 1,297,154 648,577 1,945,732 972,866 486,433 1,459,300 729,650 364,825 1,094,476 547,238 273,619 820,858 410,429 1,231,288 615,644 307,822 153,911 461,734 230,867 692,602 346,301 1,038,904 519,452 259,726 129,863 389,590 194,795 584,386 292,193 876,580 438,290 219,145 657,436 328,718 164,359 493,078 246,539 739,618 369,809 1,109,428

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