46,129,014

2 × 3⁴ × 284747

46,129,014 factors as 2 × 3^4 × 284747. Its 20 positive divisors give a proper-divisor sum of 57,234,510, so this integer is abundant. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 2 × 3^4 × 284747

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 103,363,524

Proper Divisor Sum 57,234,510

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #46129009 ← → #46129021

Radix Representation

Decimal	46129014
Binary	10101111111101111101110110 (26 bits)
Octal	0o257757566
Hexadecimal	0x2BFDF76

Divisor Catalog (20)

Collatz Trajectory (142 steps to reach 1)

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

46,129,014 23,064,507 69,193,522 34,596,761 103,790,284 51,895,142 25,947,571 77,842,714 38,921,357 116,764,072 58,382,036 29,191,018 14,595,509 43,786,528 21,893,264 10,946,632 5,473,316 2,736,658 1,368,329 4,104,988 2,052,494 1,026,247 3,078,742 1,539,371 4,618,114 2,309,057 6,927,172 3,463,586 1,731,793 5,195,380 2,597,690 1,298,845 3,896,536 1,948,268 974,134 487,067 1,461,202 730,601 2,191,804 1,095,902 547,951 1,643,854 821,927 2,465,782 1,232,891 3,698,674 1,849,337 5,548,012 2,774,006 1,387,003 4,161,010 2,080,505 6,241,516 3,120,758 1,560,379 4,681,138 2,340,569 7,021,708 3,510,854 1,755,427

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