36,775,414

2 × 13² × 108803

36,775,414 factors as 2 × 13^2 × 108803. Its 12 positive divisors give a proper-divisor sum of 22,957,982, so this integer is deficient. The Collatz stopping time is 165 steps.

Prime Factor Structure

Factorization String 2 × 13^2 × 108803

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 59,733,396

Proper Divisor Sum 22,957,982

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #36775411 ← → #36775421

Radix Representation

Decimal	36775414
Binary	10001100010010010111110110 (26 bits)
Octal	0o214222766
Hexadecimal	0x23125F6

Divisor Catalog (12)

1 2 13 26 169 338 108,803 217,606 1,414,439 2,828,878 18,387,707 36,775,414

Collatz Trajectory (165 steps to reach 1)

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

36,775,414 18,387,707 55,163,122 27,581,561 82,744,684 41,372,342 20,686,171 62,058,514 31,029,257 93,087,772 46,543,886 23,271,943 69,815,830 34,907,915 104,723,746 52,361,873 157,085,620 78,542,810 39,271,405 117,814,216 58,907,108 29,453,554 14,726,777 44,180,332 22,090,166 11,045,083 33,135,250 16,567,625 49,702,876 24,851,438 12,425,719 37,277,158 18,638,579 55,915,738 27,957,869 83,873,608 41,936,804 20,968,402 10,484,201 31,452,604 15,726,302 7,863,151 23,589,454 11,794,727 35,384,182 17,692,091 53,076,274 26,538,137 79,614,412 39,807,206 19,903,603 59,710,810 29,855,405 89,566,216 44,783,108 22,391,554 11,195,777 33,587,332 16,793,666 8,396,833

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