3,598,760

2³ × 5 × 11 × 8179

Starting at 3,598,760, the Collatz iteration reaches 1 after 190 steps. The first transition is 1799380; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5 × 11 × 8179

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 8,834,400

Proper Divisor Sum 5,235,640

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #3598757 ← → #3598789

Radix Representation

Decimal	3598760
Binary	1101101110100110101000 (22 bits)
Octal	0o15564650
Hexadecimal	0x36E9A8

Divisor Catalog (32)

1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 8,179 16,358 32,716 40,895 65,432 81,790 89,969 163,580 179,938 327,160 359,876 449,845 719,752 899,690 1,799,380 3,598,760

Collatz Trajectory (190 steps to reach 1)

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

3,598,760 1,799,380 899,690 449,845 1,349,536 674,768 337,384 168,692 84,346 42,173 126,520 63,260 31,630 15,815 47,446 23,723 71,170 35,585 106,756 53,378 26,689 80,068 40,034 20,017 60,052 30,026 15,013 45,040 22,520 11,260 5,630 2,815 8,446 4,223 12,670 6,335 19,006 9,503 28,510 14,255 42,766 21,383 64,150 32,075 96,226 48,113 144,340 72,170 36,085 108,256 54,128 27,064 13,532 6,766 3,383 10,150 5,075 15,226 7,613 22,840

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