36,930,369

3 × 7² × 29 × 8663

36,930,369 factors as 3 × 7^2 × 29 × 8663. Its 24 positive divisors give a proper-divisor sum of 22,331,391, so this integer is deficient. The Collatz stopping time is 121 steps.

Prime Factor Structure

Factorization String 3 × 7^2 × 29 × 8663

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 59,261,760

Proper Divisor Sum 22,331,391

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #36930353 ← → #36930371

Radix Representation

Decimal	36930369
Binary	10001100111000001101000001 (26 bits)
Octal	0o214701501
Hexadecimal	0x2338341

Divisor Catalog (24)

Collatz Trajectory (121 steps to reach 1)

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

36,930,369 110,791,108 55,395,554 27,697,777 83,093,332 41,546,666 20,773,333 62,320,000 31,160,000 15,580,000 7,790,000 3,895,000 1,947,500 973,750 486,875 1,460,626 730,313 2,190,940 1,095,470 547,735 1,643,206 821,603 2,464,810 1,232,405 3,697,216 1,848,608 924,304 462,152 231,076 115,538 57,769 173,308 86,654 43,327 129,982 64,991 194,974 97,487 292,462 146,231 438,694 219,347 658,042 329,021 987,064 493,532 246,766 123,383 370,150 185,075 555,226 277,613 832,840 416,420 208,210 104,105 312,316 156,158 78,079 234,238

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