727,385

5 × 145477

Starting at 727,385, the Collatz iteration reaches 1 after 211 steps. The first transition is 2182156; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 5 × 145477

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 872,868

Proper Divisor Sum 145,483

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #727369 ← → #727399

Radix Representation

Decimal	727385
Binary	10110001100101011001 (20 bits)
Octal	0o2614531
Hexadecimal	0xB1959

Divisor Catalog (4)

1 5 145,477 727,385

Collatz Trajectory (211 steps to reach 1)

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

727,385 2,182,156 1,091,078 545,539 1,636,618 818,309 2,454,928 1,227,464 613,732 306,866 153,433 460,300 230,150 115,075 345,226 172,613 517,840 258,920 129,460 64,730 32,365 97,096 48,548 24,274 12,137 36,412 18,206 9,103 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 8,207 24,622 12,311 36,934 18,467 55,402 27,701

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