2,873,040

2⁴ × 3 × 5 × 11971

Starting at 2,873,040, the Collatz iteration reaches 1 after 213 steps. The first transition is 1436520; the starting value is even with 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 11971

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 8,907,168

Proper Divisor Sum 6,034,128

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #2873033 ← → #2873041

Radix Representation

Decimal	2873040
Binary	1010111101011011010000 (22 bits)
Octal	0o12753320
Hexadecimal	0x2BD6D0

Divisor Catalog (40)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 11,971 23,942 35,913 47,884 59,855 71,826 95,768 119,710 143,652 179,565 191,536 239,420 287,304 359,130 478,840 574,608 718,260 957,680 1,436,520 2,873,040

Collatz Trajectory (213 steps to reach 1)

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

2,873,040 1,436,520 718,260 359,130 179,565 538,696 269,348 134,674 67,337 202,012 101,006 50,503 151,510 75,755 227,266 113,633 340,900 170,450 85,225 255,676 127,838 63,919 191,758 95,879 287,638 143,819 431,458 215,729 647,188 323,594 161,797 485,392 242,696 121,348 60,674 30,337 91,012 45,506 22,753 68,260 34,130 17,065 51,196 25,598 12,799 38,398 19,199 57,598 28,799 86,398 43,199 129,598 64,799 194,398 97,199 291,598 145,799 437,398 218,699 656,098

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