3,716,775

3² × 5² × 16519

3,716,775 has digital root 9. The neighboring primes are 3716771 and 3716819; its proper-divisor sum differs from the starting integer by -775,990.

Prime Factor Structure

Factorization String 3^2 × 5^2 × 16519

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 6,657,560

Proper Divisor Sum 2,940,785

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3716771 ← → #3716819

Radix Representation

Decimal	3716775
Binary	1110001011011010100111 (22 bits)
Octal	0o16133247
Hexadecimal	0x38B6A7

Divisor Catalog (18)

1 3 5 9 15 25 45 75 225 16,519 49,557 82,595 148,671 247,785 412,975 743,355 1,238,925 3,716,775

Collatz Trajectory (159 steps to reach 1)

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

3,716,775 11,150,326 5,575,163 16,725,490 8,362,745 25,088,236 12,544,118 6,272,059 18,816,178 9,408,089 28,224,268 14,112,134 7,056,067 21,168,202 10,584,101 31,752,304 15,876,152 7,938,076 3,969,038 1,984,519 5,953,558 2,976,779 8,930,338 4,465,169 13,395,508 6,697,754 3,348,877 10,046,632 5,023,316 2,511,658 1,255,829 3,767,488 1,883,744 941,872 470,936 235,468 117,734 58,867 176,602 88,301 264,904 132,452 66,226 33,113 99,340 49,670 24,835 74,506 37,253 111,760 55,880 27,940 13,970 6,985 20,956 10,478 5,239 15,718 7,859 23,578

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