77,362,018

2 × 23² × 73121

77,362,018 factors as 2 × 23^2 × 73121. Its 12 positive divisors give a proper-divisor sum of 43,947,380, so this integer is deficient. The Collatz stopping time is 210 steps.

Prime Factor Structure

Factorization String 2 × 23^2 × 73121

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 121,309,398

Proper Divisor Sum 43,947,380

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #77362013 ← → #77362027

Radix Representation

Decimal	77362018
Binary	100100111000111001101100010 (27 bits)
Octal	0o447071542
Hexadecimal	0x49C7362

Divisor Catalog (12)

1 2 23 46 529 1,058 73,121 146,242 1,681,783 3,363,566 38,681,009 77,362,018

Collatz Trajectory (210 steps to reach 1)

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

77,362,018 38,681,009 116,043,028 58,021,514 29,010,757 87,032,272 43,516,136 21,758,068 10,879,034 5,439,517 16,318,552 8,159,276 4,079,638 2,039,819 6,119,458 3,059,729 9,179,188 4,589,594 2,294,797 6,884,392 3,442,196 1,721,098 860,549 2,581,648 1,290,824 645,412 322,706 161,353 484,060 242,030 121,015 363,046 181,523 544,570 272,285 816,856 408,428 204,214 102,107 306,322 153,161 459,484 229,742 114,871 344,614 172,307 516,922 258,461 775,384 387,692 193,846 96,923 290,770 145,385 436,156 218,078 109,039 327,118 163,559 490,678

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