36,977,180

2² × 5 × 1848859

36,977,180 factors as 2^2 × 5 × 1848859. Its 12 positive divisors give a proper-divisor sum of 40,674,940, so this integer is abundant. The Collatz stopping time is 165 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 1848859

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 77,652,120

Proper Divisor Sum 40,674,940

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #36977153 ← → #36977189

Radix Representation

Decimal	36977180
Binary	10001101000011101000011100 (26 bits)
Octal	0o215035034
Hexadecimal	0x2343A1C

Divisor Catalog (12)

1 2 4 5 10 20 1,848,859 3,697,718 7,395,436 9,244,295 18,488,590 36,977,180

Collatz Trajectory (165 steps to reach 1)

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

36,977,180 18,488,590 9,244,295 27,732,886 13,866,443 41,599,330 20,799,665 62,398,996 31,199,498 15,599,749 46,799,248 23,399,624 11,699,812 5,849,906 2,924,953 8,774,860 4,387,430 2,193,715 6,581,146 3,290,573 9,871,720 4,935,860 2,467,930 1,233,965 3,701,896 1,850,948 925,474 462,737 1,388,212 694,106 347,053 1,041,160 520,580 260,290 130,145 390,436 195,218 97,609 292,828 146,414 73,207 219,622 109,811 329,434 164,717 494,152 247,076 123,538 61,769 185,308 92,654 46,327 138,982 69,491 208,474 104,237 312,712 156,356 78,178 39,089

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