431,049

3 × 53 × 2711

Starting at 431,049, the Collatz iteration reaches 1 after 218 steps. The first transition is 1293148; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 53 × 2711

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 585,792

Proper Divisor Sum 154,743

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #431047 ← → #431051

Radix Representation

Decimal	431049
Binary	1101001001111001001 (19 bits)
Octal	0o1511711
Hexadecimal	0x693C9

Divisor Catalog (8)

1 3 53 159 2,711 8,133 143,683 431,049

Collatz Trajectory (218 steps to reach 1)

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

431,049 1,293,148 646,574 323,287 969,862 484,931 1,454,794 727,397 2,182,192 1,091,096 545,548 272,774 136,387 409,162 204,581 613,744 306,872 153,436 76,718 38,359 115,078 57,539 172,618 86,309 258,928 129,464 64,732 32,366 16,183 48,550 24,275 72,826 36,413 109,240 54,620 27,310 13,655 40,966 20,483 61,450 30,725 92,176 46,088 23,044 11,522 5,761 17,284 8,642 4,321 12,964 6,482 3,241 9,724 4,862 2,431 7,294 3,647 10,942 5,471 16,414

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