2,075,080

2³ × 5 × 7 × 7411

Starting at 2,075,080, the Collatz iteration reaches 1 after 197 steps. The first transition is 1037540; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 7411

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 5,336,640

Proper Divisor Sum 3,261,560

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #2075077 ← → #2075081

Radix Representation

Decimal	2075080
Binary	111111010100111001000 (21 bits)
Octal	0o7724710
Hexadecimal	0x1FA9C8

Divisor Catalog (32)

1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 7,411 14,822 29,644 37,055 51,877 59,288 74,110 103,754 148,220 207,508 259,385 296,440 415,016 518,770 1,037,540 2,075,080

Collatz Trajectory (197 steps to reach 1)

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

2,075,080 1,037,540 518,770 259,385 778,156 389,078 194,539 583,618 291,809 875,428 437,714 218,857 656,572 328,286 164,143 492,430 246,215 738,646 369,323 1,107,970 553,985 1,661,956 830,978 415,489 1,246,468 623,234 311,617 934,852 467,426 233,713 701,140 350,570 175,285 525,856 262,928 131,464 65,732 32,866 16,433 49,300 24,650 12,325 36,976 18,488 9,244 4,622 2,311 6,934 3,467 10,402 5,201 15,604 7,802 3,901 11,704 5,852 2,926 1,463 4,390 2,195

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