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Atlas › Integer Profiles › Node 7,152,002

7,152,002

2 × 11 × 13 × 17 × 1471
Deficient Even Composite

7,152,002 factors as 2 × 11 × 13 × 17 × 1471. Its 32 positive divisors give a proper-divisor sum of 6,201,982, so this integer is deficient. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 2 × 11 × 13 × 17 × 1471
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,353,984
Proper Divisor Sum 6,201,982
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #7151983 ← → #7152007

Radix Representation

Decimal 7152002
Binary 11011010010000110000010 (23 bits)
Octal 0o33220602
Hexadecimal 0x6D2182

Divisor Catalog (32)

1 2 11 13 17 22 26 34 143 187 221 286 374 442 1,471 2,431 2,942 4,862 16,181 19,123 25,007 32,362 38,246 50,014 210,353 275,077 325,091 420,706 550,154 650,182 3,576,001 7,152,002

Collatz Trajectory (142 steps to reach 1)

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

7,152,002 3,576,001 10,728,004 5,364,002 2,682,001 8,046,004 4,023,002 2,011,501 6,034,504 3,017,252 1,508,626 754,313 2,262,940 1,131,470 565,735 1,697,206 848,603 2,545,810 1,272,905 3,818,716 1,909,358 954,679 2,864,038 1,432,019 4,296,058 2,148,029 6,444,088 3,222,044 1,611,022 805,511 2,416,534 1,208,267 3,624,802 1,812,401 5,437,204 2,718,602 1,359,301 4,077,904 2,038,952 1,019,476 509,738 254,869 764,608 382,304 191,152 95,576 47,788 23,894 11,947 35,842 17,921 53,764 26,882 13,441 40,324 20,162 10,081 30,244 15,122 7,561

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