46,221,734

2 × 13 × 443 × 4013

46,221,734 factors as 2 × 13 × 443 × 4013. Its 16 positive divisors give a proper-divisor sum of 28,631,338, so this integer is deficient. The Collatz stopping time is 261 steps.

Prime Factor Structure

Factorization String 2 × 13 × 443 × 4013

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 74,853,072

Proper Divisor Sum 28,631,338

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #46221731 ← → #46221757

Radix Representation

Decimal	46221734
Binary	10110000010100100110100110 (26 bits)
Octal	0o260244646
Hexadecimal	0x2C149A6

Divisor Catalog (16)

1 2 13 26 443 886 4,013 5,759 8,026 11,518 52,169 104,338 1,777,759 3,555,518 23,110,867 46,221,734

Collatz Trajectory (261 steps to reach 1)

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

46,221,734 23,110,867 69,332,602 34,666,301 103,998,904 51,999,452 25,999,726 12,999,863 38,999,590 19,499,795 58,499,386 29,249,693 87,749,080 43,874,540 21,937,270 10,968,635 32,905,906 16,452,953 49,358,860 24,679,430 12,339,715 37,019,146 18,509,573 55,528,720 27,764,360 13,882,180 6,941,090 3,470,545 10,411,636 5,205,818 2,602,909 7,808,728 3,904,364 1,952,182 976,091 2,928,274 1,464,137 4,392,412 2,196,206 1,098,103 3,294,310 1,647,155 4,941,466 2,470,733 7,412,200 3,706,100 1,853,050 926,525 2,779,576 1,389,788 694,894 347,447 1,042,342 521,171 1,563,514 781,757 2,345,272 1,172,636 586,318 293,159

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