λ
Ratio Atlas

36,901,407

3 × 17 × 23 × 163 × 193
Deficient Odd Composite

36,901,407 factors as 3 × 17 × 23 × 163 × 193. Its 32 positive divisors give a proper-divisor sum of 18,076,641, so this integer is deficient. The Collatz stopping time is 188 steps.

Prime Factor Structure

Factorization String 3 × 17 × 23 × 163 × 193
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 54,978,048
Proper Divisor Sum 18,076,641
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #36901399 ← → #36901421

Radix Representation

Decimal 36901407
Binary 10001100110001001000011111 (26 bits)
Octal 0o214611037
Hexadecimal 0x233121F

Divisor Catalog (32)

Collatz Trajectory (188 steps to reach 1)

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

36,901,407 110,704,222 55,352,111 166,056,334 83,028,167 249,084,502 124,542,251 373,626,754 186,813,377 560,440,132 280,220,066 140,110,033 420,330,100 210,165,050 105,082,525 315,247,576 157,623,788 78,811,894 39,405,947 118,217,842 59,108,921 177,326,764 88,663,382 44,331,691 132,995,074 66,497,537 199,492,612 99,746,306 49,873,153 149,619,460 74,809,730 37,404,865 112,214,596 56,107,298 28,053,649 84,160,948 42,080,474 21,040,237 63,120,712 31,560,356 15,780,178 7,890,089 23,670,268 11,835,134 5,917,567 17,752,702 8,876,351 26,629,054 13,314,527 39,943,582 19,971,791 59,915,374 29,957,687 89,873,062 44,936,531 134,809,594 67,404,797 202,214,392 101,107,196 50,553,598

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