3,604,048

2⁴ × 7² × 4597

Starting at 3,604,048, the Collatz iteration reaches 1 after 89 steps. The first transition is 1802024; the starting value is even with 30 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 7^2 × 4597

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 30

Divisor Sum (σ) 8,124,666

Proper Divisor Sum 4,520,618

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #3604043 ← → #3604057

Radix Representation

Decimal	3604048
Binary	1101101111111001010000 (22 bits)
Octal	0o15577120
Hexadecimal	0x36FE50

Divisor Catalog (30)

1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 4,597 9,194 18,388 32,179 36,776 64,358 73,552 128,716 225,253 257,432 450,506 514,864 901,012 1,802,024 3,604,048

Collatz Trajectory (89 steps to reach 1)

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

3,604,048 1,802,024 901,012 450,506 225,253 675,760 337,880 168,940 84,470 42,235 126,706 63,353 190,060 95,030 47,515 142,546 71,273 213,820 106,910 53,455 160,366 80,183 240,550 120,275 360,826 180,413 541,240 270,620 135,310 67,655 202,966 101,483 304,450 152,225 456,676 228,338 114,169 342,508 171,254 85,627 256,882 128,441 385,324 192,662 96,331 288,994 144,497 433,492 216,746 108,373 325,120 162,560 81,280 40,640 20,320 10,160 5,080 2,540 1,270 635

← Previous Integer #3,604,047 Browse Full Index Next Integer #3,604,049 →