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Atlas › Integer Profiles › Node 6,201,702

6,201,702

2 × 32 × 13 × 17 × 1559
Abundant Even Composite

6,201,702 factors as 2 × 3^2 × 13 × 17 × 1559. Its 48 positive divisors give a proper-divisor sum of 9,129,978, so this integer is abundant. The Collatz stopping time is 103 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 13 × 17 × 1559
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 15,331,680
Proper Divisor Sum 9,129,978
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #6201691 ← → #6201709

Radix Representation

Decimal 6201702
Binary 10111101010000101100110 (23 bits)
Octal 0o27520546
Hexadecimal 0x5EA166

Divisor Catalog (48)

1 2 3 6 9 13 17 18 26 34 39 51 78 102 117 153 221 234 306 442 663 1,326 1,559 1,989 3,118 3,978 4,677 9,354 14,031 20,267 26,503 28,062 40,534 53,006 60,801 79,509 121,602 159,018 182,403 238,527 344,539 364,806 477,054 689,078 1,033,617 2,067,234 3,100,851 6,201,702

Collatz Trajectory (103 steps to reach 1)

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

6,201,702 3,100,851 9,302,554 4,651,277 13,953,832 6,976,916 3,488,458 1,744,229 5,232,688 2,616,344 1,308,172 654,086 327,043 981,130 490,565 1,471,696 735,848 367,924 183,962 91,981 275,944 137,972 68,986 34,493 103,480 51,740 25,870 12,935 38,806 19,403 58,210 29,105 87,316 43,658 21,829 65,488 32,744 16,372 8,186 4,093 12,280 6,140 3,070 1,535 4,606 2,303 6,910 3,455 10,366 5,183 15,550 7,775 23,326 11,663 34,990 17,495 52,486 26,243 78,730 39,365

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