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Atlas › Integer Profiles › Node 13,163,124

13,163,124

22 × 3 × 13 × 19 × 4441
Abundant Even Composite

13,163,124 factors as 2^2 × 3 × 13 × 19 × 4441. Its 48 positive divisors give a proper-divisor sum of 21,662,156, so this integer is abundant. The Collatz stopping time is 148 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 13 × 19 × 4441
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 34,825,280
Proper Divisor Sum 21,662,156
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #13163119 ← → #13163131

Radix Representation

Decimal 13163124
Binary 110010001101101001110100 (24 bits)
Octal 0o62155164
Hexadecimal 0xC8DA74

Divisor Catalog (48)

1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 156 228 247 494 741 988 1,482 2,964 4,441 8,882 13,323 17,764 26,646 53,292 57,733 84,379 115,466 168,758 173,199 230,932 253,137 337,516 346,398 506,274 692,796 1,012,548 1,096,927 2,193,854 3,290,781 4,387,708 6,581,562 13,163,124

Collatz Trajectory (148 steps to reach 1)

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

13,163,124 6,581,562 3,290,781 9,872,344 4,936,172 2,468,086 1,234,043 3,702,130 1,851,065 5,553,196 2,776,598 1,388,299 4,164,898 2,082,449 6,247,348 3,123,674 1,561,837 4,685,512 2,342,756 1,171,378 585,689 1,757,068 878,534 439,267 1,317,802 658,901 1,976,704 988,352 494,176 247,088 123,544 61,772 30,886 15,443 46,330 23,165 69,496 34,748 17,374 8,687 26,062 13,031 39,094 19,547 58,642 29,321 87,964 43,982 21,991 65,974 32,987 98,962 49,481 148,444 74,222 37,111 111,334 55,667 167,002 83,501

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