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Atlas › Integer Profiles › Node 6,132,206

6,132,206

2 × 17 × 41 × 53 × 83
Deficient Even Composite

6,132,206 factors as 2 × 17 × 41 × 53 × 83. Its 32 positive divisors give a proper-divisor sum of 4,155,442, so this integer is deficient. The Collatz stopping time is 196 steps.

Prime Factor Structure

Factorization String 2 × 17 × 41 × 53 × 83
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 10,287,648
Proper Divisor Sum 4,155,442
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #6132179 ← → #6132221

Radix Representation

Decimal 6132206
Binary 10111011001000111101110 (23 bits)
Octal 0o27310756
Hexadecimal 0x5D91EE

Divisor Catalog (32)

1 2 17 34 41 53 82 83 106 166 697 901 1,394 1,411 1,802 2,173 2,822 3,403 4,346 4,399 6,806 8,798 36,941 57,851 73,882 74,783 115,702 149,566 180,359 360,718 3,066,103 6,132,206

Collatz Trajectory (196 steps to reach 1)

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

6,132,206 3,066,103 9,198,310 4,599,155 13,797,466 6,898,733 20,696,200 10,348,100 5,174,050 2,587,025 7,761,076 3,880,538 1,940,269 5,820,808 2,910,404 1,455,202 727,601 2,182,804 1,091,402 545,701 1,637,104 818,552 409,276 204,638 102,319 306,958 153,479 460,438 230,219 690,658 345,329 1,035,988 517,994 258,997 776,992 388,496 194,248 97,124 48,562 24,281 72,844 36,422 18,211 54,634 27,317 81,952 40,976 20,488 10,244 5,122 2,561 7,684 3,842 1,921 5,764 2,882 1,441 4,324 2,162 1,081

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