36,975,618

2 × 3² × 257 × 7993

36,975,618 factors as 2 × 3^2 × 257 × 7993. Its 24 positive divisors give a proper-divisor sum of 43,460,010, so this integer is abundant. The Collatz stopping time is 196 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 257 × 7993

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 80,435,628

Proper Divisor Sum 43,460,010

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #36975613 ← → #36975623

Radix Representation

Decimal	36975618
Binary	10001101000011010000000010 (26 bits)
Octal	0o215032002
Hexadecimal	0x2343402

Divisor Catalog (24)

Collatz Trajectory (196 steps to reach 1)

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

36,975,618 18,487,809 55,463,428 27,731,714 13,865,857 41,597,572 20,798,786 10,399,393 31,198,180 15,599,090 7,799,545 23,398,636 11,699,318 5,849,659 17,548,978 8,774,489 26,323,468 13,161,734 6,580,867 19,742,602 9,871,301 29,613,904 14,806,952 7,403,476 3,701,738 1,850,869 5,552,608 2,776,304 1,388,152 694,076 347,038 173,519 520,558 260,279 780,838 390,419 1,171,258 585,629 1,756,888 878,444 439,222 219,611 658,834 329,417 988,252 494,126 247,063 741,190 370,595 1,111,786 555,893 1,667,680 833,840 416,920 208,460 104,230 52,115 156,346 78,173 234,520

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