λ
Ratio Atlas

36,938,750

2 × 54 × 29 × 1019
Deficient Even Composite

36,938,750 factors as 2 × 5^4 × 29 × 1019. Its 40 positive divisors give a proper-divisor sum of 34,757,050, so this integer is deficient. The Collatz stopping time is 183 steps.

Prime Factor Structure

Factorization String 2 × 5^4 × 29 × 1019
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 71,695,800
Proper Divisor Sum 34,757,050
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #36938749 ← → #36938753

Radix Representation

Decimal 36938750
Binary 10001100111010001111111110 (26 bits)
Octal 0o214721776
Hexadecimal 0x233A3FE

Divisor Catalog (40)

Collatz Trajectory (183 steps to reach 1)

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

36,938,750 18,469,375 55,408,126 27,704,063 83,112,190 41,556,095 124,668,286 62,334,143 187,002,430 93,501,215 280,503,646 140,251,823 420,755,470 210,377,735 631,133,206 315,566,603 946,699,810 473,349,905 1,420,049,716 710,024,858 355,012,429 1,065,037,288 532,518,644 266,259,322 133,129,661 399,388,984 199,694,492 99,847,246 49,923,623 149,770,870 74,885,435 224,656,306 112,328,153 336,984,460 168,492,230 84,246,115 252,738,346 126,369,173 379,107,520 189,553,760 94,776,880 47,388,440 23,694,220 11,847,110 5,923,555 17,770,666 8,885,333 26,656,000 13,328,000 6,664,000 3,332,000 1,666,000 833,000 416,500 208,250 104,125 312,376 156,188 78,094 39,047

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