λ
Ratio Atlas

31,672,011

3 × 7 × 449 × 3359
Deficient Odd Composite

31,672,011 factors as 3 × 7 × 449 × 3359. Its 16 positive divisors give a proper-divisor sum of 16,711,989, so this integer is deficient. The Collatz stopping time is 312 steps.

Prime Factor Structure

Factorization String 3 × 7 × 449 × 3359
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 48,384,000
Proper Divisor Sum 16,711,989
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #31672009 ← → #31672027

Radix Representation

Decimal 31672011
Binary 1111000110100011011001011 (25 bits)
Octal 0o170643313
Hexadecimal 0x1E346CB

Divisor Catalog (16)

Collatz Trajectory (312 steps to reach 1)

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

31,672,011 95,016,034 47,508,017 142,524,052 71,262,026 35,631,013 106,893,040 53,446,520 26,723,260 13,361,630 6,680,815 20,042,446 10,021,223 30,063,670 15,031,835 45,095,506 22,547,753 67,643,260 33,821,630 16,910,815 50,732,446 25,366,223 76,098,670 38,049,335 114,148,006 57,074,003 171,222,010 85,611,005 256,833,016 128,416,508 64,208,254 32,104,127 96,312,382 48,156,191 144,468,574 72,234,287 216,702,862 108,351,431 325,054,294 162,527,147 487,581,442 243,790,721 731,372,164 365,686,082 182,843,041 548,529,124 274,264,562 137,132,281 411,396,844 205,698,422 102,849,211 308,547,634 154,273,817 462,821,452 231,410,726 115,705,363 347,116,090 173,558,045 520,674,136 260,337,068

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