36,973,275

3 × 5² × 599 × 823

36,973,275 factors as 3 × 5^2 × 599 × 823. Its 24 positive divisors give a proper-divisor sum of 24,332,325, so this integer is deficient. The Collatz stopping time is 214 steps.

Prime Factor Structure

Factorization String 3 × 5^2 × 599 × 823

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 61,305,600

Proper Divisor Sum 24,332,325

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #36973273 ← → #36973291

Radix Representation

Decimal	36973275
Binary	10001101000010101011011011 (26 bits)
Octal	0o215025333
Hexadecimal	0x2342ADB

Divisor Catalog (24)

Collatz Trajectory (214 steps to reach 1)

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

36,973,275 110,919,826 55,459,913 166,379,740 83,189,870 41,594,935 124,784,806 62,392,403 187,177,210 93,588,605 280,765,816 140,382,908 70,191,454 35,095,727 105,287,182 52,643,591 157,930,774 78,965,387 236,896,162 118,448,081 355,344,244 177,672,122 88,836,061 266,508,184 133,254,092 66,627,046 33,313,523 99,940,570 49,970,285 149,910,856 74,955,428 37,477,714 18,738,857 56,216,572 28,108,286 14,054,143 42,162,430 21,081,215 63,243,646 31,621,823 94,865,470 47,432,735 142,298,206 71,149,103 213,447,310 106,723,655 320,170,966 160,085,483 480,256,450 240,128,225 720,384,676 360,192,338 180,096,169 540,288,508 270,144,254 135,072,127 405,216,382 202,608,191 607,824,574 303,912,287

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