3,562,500

2² × 3 × 5⁶ × 19

Starting at 3,562,500, the Collatz iteration reaches 1 after 66 steps. The first transition is 1781250; the starting value is even with 84 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 5^6 × 19

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 84

Divisor Sum (σ) 10,937,360

Proper Divisor Sum 7,374,860

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #3562499 ← → #3562511

Radix Representation

Decimal	3562500
Binary	1101100101110000000100 (22 bits)
Octal	0o15456004
Hexadecimal	0x365C04

Divisor Catalog (60 of 84)

1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 125 150 190 228 250 285 300 375 380 475 500 570 625 750 950 1,140 1,250 1,425 1,500 1,875 1,900 2,375 2,500 2,850 3,125 3,750 4,750 5,700 6,250 7,125 7,500 9,375 9,500 11,875 12,500 14,250 15,625 18,750

Collatz Trajectory (66 steps to reach 1)

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

3,562,500 1,781,250 890,625 2,671,876 1,335,938 667,969 2,003,908 1,001,954 500,977 1,502,932 751,466 375,733 1,127,200 563,600 281,800 140,900 70,450 35,225 105,676 52,838 26,419 79,258 39,629 118,888 59,444 29,722 14,861 44,584 22,292 11,146 5,573 16,720 8,360 4,180 2,090 1,045 3,136 1,568 784 392 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20

← Previous Integer #3,562,499 Browse Full Index Next Integer #3,562,501 →