3,604,725

3² × 5² × 37 × 433

Starting at 3,604,725, the Collatz iteration reaches 1 after 115 steps. The first transition is 10814176; the starting value is odd with 36 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5^2 × 37 × 433

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 6,646,276

Proper Divisor Sum 3,041,551

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3604717 ← → #3604747

Radix Representation

Decimal	3604725
Binary	1101110000000011110101 (22 bits)
Octal	0o15600365
Hexadecimal	0x3700F5

Divisor Catalog (36)

1 3 5 9 15 25 37 45 75 111 185 225 333 433 555 925 1,299 1,665 2,165 2,775 3,897 6,495 8,325 10,825 16,021 19,485 32,475 48,063 80,105 97,425 144,189 240,315 400,525 720,945 1,201,575 3,604,725

Collatz Trajectory (115 steps to reach 1)

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

3,604,725 10,814,176 5,407,088 2,703,544 1,351,772 675,886 337,943 1,013,830 506,915 1,520,746 760,373 2,281,120 1,140,560 570,280 285,140 142,570 71,285 213,856 106,928 53,464 26,732 13,366 6,683 20,050 10,025 30,076 15,038 7,519 22,558 11,279 33,838 16,919 50,758 25,379 76,138 38,069 114,208 57,104 28,552 14,276 7,138 3,569 10,708 5,354 2,677 8,032 4,016 2,008 1,004 502 251 754 377 1,132 566 283 850 425 1,276 638

← Previous Integer #3,604,724 Browse Full Index Next Integer #3,604,726 →