2,046,960

2⁴ × 3² × 5 × 2843

Starting at 2,046,960, the Collatz iteration reaches 1 after 166 steps. The first transition is 1023480; the starting value is even with 60 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 5 × 2843

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 6,876,792

Proper Divisor Sum 4,829,832

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #2046959 ← → #2046971

Radix Representation

Decimal	2046960
Binary	111110011101111110000 (21 bits)
Octal	0o7635760
Hexadecimal	0x1F3BF0

Divisor Catalog (60)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 2,843 5,686 8,529 11,372 14,215 17,058 22,744 25,587 28,430 34,116 42,645 45,488 51,174 56,860 68,232 85,290 102,348 113,720 127,935 136,464 170,580 204,696 227,440 255,870 341,160 409,392 511,740 682,320 1,023,480 2,046,960

Collatz Trajectory (166 steps to reach 1)

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

2,046,960 1,023,480 511,740 255,870 127,935 383,806 191,903 575,710 287,855 863,566 431,783 1,295,350 647,675 1,943,026 971,513 2,914,540 1,457,270 728,635 2,185,906 1,092,953 3,278,860 1,639,430 819,715 2,459,146 1,229,573 3,688,720 1,844,360 922,180 461,090 230,545 691,636 345,818 172,909 518,728 259,364 129,682 64,841 194,524 97,262 48,631 145,894 72,947 218,842 109,421 328,264 164,132 82,066 41,033 123,100 61,550 30,775 92,326 46,163 138,490 69,245 207,736 103,868 51,934 25,967 77,902

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