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Atlas › Integer Profiles › Node 4,825,964

4,825,964

22 × 112 × 132 × 59
Abundant Even Composite

4,825,964 factors as 2^2 × 11^2 × 13^2 × 59. Its 54 positive divisors give a proper-divisor sum of 5,396,416, so this integer is abundant. The Collatz stopping time is 92 steps.

Prime Factor Structure

Factorization String 2^2 × 11^2 × 13^2 × 59
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 54
Divisor Sum (σ) 10,222,380
Proper Divisor Sum 5,396,416
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #4825963 ← → #4825967

Radix Representation

Decimal 4825964
Binary 10010011010001101101100 (23 bits)
Octal 0o22321554
Hexadecimal 0x49A36C

Divisor Catalog (54)

1 2 4 11 13 22 26 44 52 59 118 121 143 169 236 242 286 338 484 572 649 676 767 1,298 1,534 1,573 1,859 2,596 3,068 3,146 3,718 6,292 7,139 7,436 8,437 9,971 14,278 16,874 19,942 20,449 28,556 33,748 39,884 40,898 81,796 92,807 109,681 185,614 219,362 371,228 438,724 1,206,491 2,412,982 4,825,964

Collatz Trajectory (92 steps to reach 1)

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

4,825,964 2,412,982 1,206,491 3,619,474 1,809,737 5,429,212 2,714,606 1,357,303 4,071,910 2,035,955 6,107,866 3,053,933 9,161,800 4,580,900 2,290,450 1,145,225 3,435,676 1,717,838 858,919 2,576,758 1,288,379 3,865,138 1,932,569 5,797,708 2,898,854 1,449,427 4,348,282 2,174,141 6,522,424 3,261,212 1,630,606 815,303 2,445,910 1,222,955 3,668,866 1,834,433 5,503,300 2,751,650 1,375,825 4,127,476 2,063,738 1,031,869 3,095,608 1,547,804 773,902 386,951 1,160,854 580,427 1,741,282 870,641 2,611,924 1,305,962 652,981 1,958,944 979,472 489,736 244,868 122,434 61,217 183,652

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