λ
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Atlas › Integer Profiles › Node 35,572,002

35,572,002

2 × 3 × 131 × 167 × 271
Abundant Even Composite

35,572,002 factors as 2 × 3 × 131 × 167 × 271. Its 32 positive divisors give a proper-divisor sum of 36,810,462, so this integer is abundant. The Collatz stopping time is 196 steps.

Prime Factor Structure

Factorization String 2 × 3 × 131 × 167 × 271
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 72,382,464
Proper Divisor Sum 36,810,462
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #35572001 ← → #35572003

Radix Representation

Decimal 35572002
Binary 10000111101100100100100010 (26 bits)
Octal 0o207544442
Hexadecimal 0x21EC922

Divisor Catalog (32)

1 2 3 6 131 167 262 271 334 393 501 542 786 813 1,002 1,626 21,877 35,501 43,754 45,257 65,631 71,002 90,514 106,503 131,262 135,771 213,006 271,542 5,928,667 11,857,334 17,786,001 35,572,002

Collatz Trajectory (196 steps to reach 1)

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

35,572,002 17,786,001 53,358,004 26,679,002 13,339,501 40,018,504 20,009,252 10,004,626 5,002,313 15,006,940 7,503,470 3,751,735 11,255,206 5,627,603 16,882,810 8,441,405 25,324,216 12,662,108 6,331,054 3,165,527 9,496,582 4,748,291 14,244,874 7,122,437 21,367,312 10,683,656 5,341,828 2,670,914 1,335,457 4,006,372 2,003,186 1,001,593 3,004,780 1,502,390 751,195 2,253,586 1,126,793 3,380,380 1,690,190 845,095 2,535,286 1,267,643 3,802,930 1,901,465 5,704,396 2,852,198 1,426,099 4,278,298 2,139,149 6,417,448 3,208,724 1,604,362 802,181 2,406,544 1,203,272 601,636 300,818 150,409 451,228 225,614

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