77,370,118

2 × 7² × 789491

77,370,118 factors as 2 × 7^2 × 789491. Its 12 positive divisors give a proper-divisor sum of 57,633,014, so this integer is deficient. The Collatz stopping time is 210 steps.

Prime Factor Structure

Factorization String 2 × 7^2 × 789491

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 135,003,132

Proper Divisor Sum 57,633,014

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #77370101 ← → #77370119

Radix Representation

Decimal	77370118
Binary	100100111001001001100000110 (27 bits)
Octal	0o447111406
Hexadecimal	0x49C9306

Divisor Catalog (12)

1 2 7 14 49 98 789,491 1,578,982 5,526,437 11,052,874 38,685,059 77,370,118

Collatz Trajectory (210 steps to reach 1)

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

77,370,118 38,685,059 116,055,178 58,027,589 174,082,768 87,041,384 43,520,692 21,760,346 10,880,173 32,640,520 16,320,260 8,160,130 4,080,065 12,240,196 6,120,098 3,060,049 9,180,148 4,590,074 2,295,037 6,885,112 3,442,556 1,721,278 860,639 2,581,918 1,290,959 3,872,878 1,936,439 5,809,318 2,904,659 8,713,978 4,356,989 13,070,968 6,535,484 3,267,742 1,633,871 4,901,614 2,450,807 7,352,422 3,676,211 11,028,634 5,514,317 16,542,952 8,271,476 4,135,738 2,067,869 6,203,608 3,101,804 1,550,902 775,451 2,326,354 1,163,177 3,489,532 1,744,766 872,383 2,617,150 1,308,575 3,925,726 1,962,863 5,888,590 2,944,295

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