3,764,431

11² × 53 × 587

3,764,431 has the prime decomposition 11^2 × 53 × 587. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 11^2 × 53 × 587

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,223,016

Proper Divisor Sum 458,585

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #3764401 ← → #3764437

Radix Representation

Decimal	3764431
Binary	1110010111000011001111 (22 bits)
Octal	0o16270317
Hexadecimal	0x3970CF

Divisor Catalog (12)

1 11 53 121 583 587 6,413 6,457 31,111 71,027 342,221 3,764,431

Collatz Trajectory (203 steps to reach 1)

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

3,764,431 11,293,294 5,646,647 16,939,942 8,469,971 25,409,914 12,704,957 38,114,872 19,057,436 9,528,718 4,764,359 14,293,078 7,146,539 21,439,618 10,719,809 32,159,428 16,079,714 8,039,857 24,119,572 12,059,786 6,029,893 18,089,680 9,044,840 4,522,420 2,261,210 1,130,605 3,391,816 1,695,908 847,954 423,977 1,271,932 635,966 317,983 953,950 476,975 1,430,926 715,463 2,146,390 1,073,195 3,219,586 1,609,793 4,829,380 2,414,690 1,207,345 3,622,036 1,811,018 905,509 2,716,528 1,358,264 679,132 339,566 169,783 509,350 254,675 764,026 382,013 1,146,040 573,020 286,510 143,255

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