3,848,595

3 × 5 × 47 × 53 × 103

Starting at 3,848,595, the Collatz iteration reaches 1 after 216 steps. The first transition is 11545786; the starting value is odd with 32 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 47 × 53 × 103

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 6,469,632

Proper Divisor Sum 2,621,037

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #3848591 ← → #3848597

Radix Representation

Decimal	3848595
Binary	1110101011100110010011 (22 bits)
Octal	0o16534623
Hexadecimal	0x3AB993

Divisor Catalog (32)

1 3 5 15 47 53 103 141 159 235 265 309 515 705 795 1,545 2,491 4,841 5,459 7,473 12,455 14,523 16,377 24,205 27,295 37,365 72,615 81,885 256,573 769,719 1,282,865 3,848,595

Collatz Trajectory (216 steps to reach 1)

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

3,848,595 11,545,786 5,772,893 17,318,680 8,659,340 4,329,670 2,164,835 6,494,506 3,247,253 9,741,760 4,870,880 2,435,440 1,217,720 608,860 304,430 152,215 456,646 228,323 684,970 342,485 1,027,456 513,728 256,864 128,432 64,216 32,108 16,054 8,027 24,082 12,041 36,124 18,062 9,031 27,094 13,547 40,642 20,321 60,964 30,482 15,241 45,724 22,862 11,431 34,294 17,147 51,442 25,721 77,164 38,582 19,291 57,874 28,937 86,812 43,406 21,703 65,110 32,555 97,666 48,833 146,500

← Previous Integer #3,848,594 Browse Full Index Next Integer #3,848,596 →