46,564,581

3 × 7 × 17 × 23 × 53 × 107

46,564,581 factors as 3 × 7 × 17 × 23 × 53 × 107. Its 64 positive divisors give a proper-divisor sum of 34,056,987, so this integer is deficient. The Collatz stopping time is 155 steps.

Prime Factor Structure

Factorization String 3 × 7 × 17 × 23 × 53 × 107

Distinct Prime Factors 6

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 80,621,568

Proper Divisor Sum 34,056,987

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #46564579 ← → #46564589

Radix Representation

Decimal	46564581
Binary	10110001101000010011100101 (26 bits)
Octal	0o261502345
Hexadecimal	0x2C684E5

Divisor Catalog (60 of 64)

1 3 7 17 21 23 51 53 69 107 119 159 161 321 357 371 391 483 749 901 1,113 1,173 1,219 1,819 2,247 2,461 2,703 2,737 3,657 5,457 5,671 6,307 7,383 8,211 8,533 12,733 17,013 17,227 18,921 20,723 25,599 38,199 39,697 41,837 51,681 62,169 96,407 119,091 125,511 130,433 145,061 289,221 292,859 391,299 435,183 674,849 878,577 913,031 2,024,547 2,217,361

Collatz Trajectory (155 steps to reach 1)

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

46,564,581 139,693,744 69,846,872 34,923,436 17,461,718 8,730,859 26,192,578 13,096,289 39,288,868 19,644,434 9,822,217 29,466,652 14,733,326 7,366,663 22,099,990 11,049,995 33,149,986 16,574,993 49,724,980 24,862,490 12,431,245 37,293,736 18,646,868 9,323,434 4,661,717 13,985,152 6,992,576 3,496,288 1,748,144 874,072 437,036 218,518 109,259 327,778 163,889 491,668 245,834 122,917 368,752 184,376 92,188 46,094 23,047 69,142 34,571 103,714 51,857 155,572 77,786 38,893 116,680 58,340 29,170 14,585 43,756 21,878 10,939 32,818 16,409 49,228

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