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Atlas › Integer Profiles › Node 41,005,156

41,005,156

22 × 17 × 197 × 3061
Deficient Even Composite

41,005,156 factors as 2^2 × 17 × 197 × 3061. Its 24 positive divisors give a proper-divisor sum of 35,385,620, so this integer is deficient. The Collatz stopping time is 129 steps.

Prime Factor Structure

Factorization String 2^2 × 17 × 197 × 3061
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 76,390,776
Proper Divisor Sum 35,385,620
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #41005109 ← → #41005163

Radix Representation

Decimal 41005156
Binary 10011100011011000001100100 (26 bits)
Octal 0o234330144
Hexadecimal 0x271B064

Divisor Catalog (24)

1 2 4 17 34 68 197 394 788 3,061 3,349 6,122 6,698 12,244 13,396 52,037 104,074 208,148 603,017 1,206,034 2,412,068 10,251,289 20,502,578 41,005,156

Collatz Trajectory (129 steps to reach 1)

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

41,005,156 20,502,578 10,251,289 30,753,868 15,376,934 7,688,467 23,065,402 11,532,701 34,598,104 17,299,052 8,649,526 4,324,763 12,974,290 6,487,145 19,461,436 9,730,718 4,865,359 14,596,078 7,298,039 21,894,118 10,947,059 32,841,178 16,420,589 49,261,768 24,630,884 12,315,442 6,157,721 18,473,164 9,236,582 4,618,291 13,854,874 6,927,437 20,782,312 10,391,156 5,195,578 2,597,789 7,793,368 3,896,684 1,948,342 974,171 2,922,514 1,461,257 4,383,772 2,191,886 1,095,943 3,287,830 1,643,915 4,931,746 2,465,873 7,397,620 3,698,810 1,849,405 5,548,216 2,774,108 1,387,054 693,527 2,080,582 1,040,291 3,120,874 1,560,437

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