1,948,660

2² × 5 × 7 × 31 × 449

Starting at 1,948,660, the Collatz iteration reaches 1 after 176 steps. The first transition is 974330; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 31 × 449

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 4,838,400

Proper Divisor Sum 2,889,740

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #1948649 ← → #1948669

Radix Representation

Decimal	1948660
Binary	111011011101111110100 (21 bits)
Octal	0o7335764
Hexadecimal	0x1DBBF4

Divisor Catalog (48)

1 2 4 5 7 10 14 20 28 31 35 62 70 124 140 155 217 310 434 449 620 868 898 1,085 1,796 2,170 2,245 3,143 4,340 4,490 6,286 8,980 12,572 13,919 15,715 27,838 31,430 55,676 62,860 69,595 97,433 139,190 194,866 278,380 389,732 487,165 974,330 1,948,660

Collatz Trajectory (176 steps to reach 1)

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

1,948,660 974,330 487,165 1,461,496 730,748 365,374 182,687 548,062 274,031 822,094 411,047 1,233,142 616,571 1,849,714 924,857 2,774,572 1,387,286 693,643 2,080,930 1,040,465 3,121,396 1,560,698 780,349 2,341,048 1,170,524 585,262 292,631 877,894 438,947 1,316,842 658,421 1,975,264 987,632 493,816 246,908 123,454 61,727 185,182 92,591 277,774 138,887 416,662 208,331 624,994 312,497 937,492 468,746 234,373 703,120 351,560 175,780 87,890 43,945 131,836 65,918 32,959 98,878 49,439 148,318 74,159

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