3,713,391

3³ × 11 × 12503

3,713,391 has the prime decomposition 3^3 × 11 × 12503. Its 3 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 11 × 12503

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,001,920

Proper Divisor Sum 2,288,529

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3713387 ← → #3713399

Radix Representation

Decimal	3713391
Binary	1110001010100101101111 (22 bits)
Octal	0o16124557
Hexadecimal	0x38A96F

Divisor Catalog (16)

1 3 9 11 27 33 99 297 12,503 37,509 112,527 137,533 337,581 412,599 1,237,797 3,713,391

Collatz Trajectory (79 steps to reach 1)

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

3,713,391 11,140,174 5,570,087 16,710,262 8,355,131 25,065,394 12,532,697 37,598,092 18,799,046 9,399,523 28,198,570 14,099,285 42,297,856 21,148,928 10,574,464 5,287,232 2,643,616 1,321,808 660,904 330,452 165,226 82,613 247,840 123,920 61,960 30,980 15,490 7,745 23,236 11,618 5,809 17,428 8,714 4,357 13,072 6,536 3,268 1,634 817 2,452 1,226 613 1,840 920 460 230 115 346 173 520 260 130 65 196 98 49 148 74 37 112

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