λ
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Atlas › Integer Profiles › Node 7,124,404

7,124,404

22 × 72 × 163 × 223
Abundant Even Composite

7,124,404 factors as 2^2 × 7^2 × 163 × 223. Its 36 positive divisors give a proper-divisor sum of 7,533,260, so this integer is abundant. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 2^2 × 7^2 × 163 × 223
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 14,657,664
Proper Divisor Sum 7,533,260
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #7124393 ← → #7124413

Radix Representation

Decimal 7124404
Binary 11011001011010110110100 (23 bits)
Octal 0o33132664
Hexadecimal 0x6CB5B4

Divisor Catalog (36)

1 2 4 7 14 28 49 98 163 196 223 326 446 652 892 1,141 1,561 2,282 3,122 4,564 6,244 7,987 10,927 15,974 21,854 31,948 36,349 43,708 72,698 145,396 254,443 508,886 1,017,772 1,781,101 3,562,202 7,124,404

Collatz Trajectory (98 steps to reach 1)

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

7,124,404 3,562,202 1,781,101 5,343,304 2,671,652 1,335,826 667,913 2,003,740 1,001,870 500,935 1,502,806 751,403 2,254,210 1,127,105 3,381,316 1,690,658 845,329 2,535,988 1,267,994 633,997 1,901,992 950,996 475,498 237,749 713,248 356,624 178,312 89,156 44,578 22,289 66,868 33,434 16,717 50,152 25,076 12,538 6,269 18,808 9,404 4,702 2,351 7,054 3,527 10,582 5,291 15,874 7,937 23,812 11,906 5,953 17,860 8,930 4,465 13,396 6,698 3,349 10,048 5,024 2,512 1,256

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