36,979,436

2² × 13 × 711143

36,979,436 factors as 2^2 × 13 × 711143. Its 12 positive divisors give a proper-divisor sum of 32,712,676, so this integer is deficient. The Collatz stopping time is 165 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 711143

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 69,692,112

Proper Divisor Sum 32,712,676

Digit Sum / Digital Root 47 (Root: 2)

Adjacent Primes #36979429 ← → #36979463

Radix Representation

Decimal	36979436
Binary	10001101000100001011101100 (26 bits)
Octal	0o215041354
Hexadecimal	0x23442EC

Divisor Catalog (12)

1 2 4 13 26 52 711,143 1,422,286 2,844,572 9,244,859 18,489,718 36,979,436

Collatz Trajectory (165 steps to reach 1)

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

36,979,436 18,489,718 9,244,859 27,734,578 13,867,289 41,601,868 20,800,934 10,400,467 31,201,402 15,600,701 46,802,104 23,401,052 11,700,526 5,850,263 17,550,790 8,775,395 26,326,186 13,163,093 39,489,280 19,744,640 9,872,320 4,936,160 2,468,080 1,234,040 617,020 308,510 154,255 462,766 231,383 694,150 347,075 1,041,226 520,613 1,561,840 780,920 390,460 195,230 97,615 292,846 146,423 439,270 219,635 658,906 329,453 988,360 494,180 247,090 123,545 370,636 185,318 92,659 277,978 138,989 416,968 208,484 104,242 52,121 156,364 78,182 39,091

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