1,955,175

3 × 5² × 131 × 199

Starting at 1,955,175, the Collatz iteration reaches 1 after 321 steps. The first transition is 5865526; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3 × 5^2 × 131 × 199

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 3,273,600

Proper Divisor Sum 1,318,425

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #1955141 ← → #1955179

Radix Representation

Decimal	1955175
Binary	111011101010101100111 (21 bits)
Octal	0o7352547
Hexadecimal	0x1DD567

Divisor Catalog (24)

1 3 5 15 25 75 131 199 393 597 655 995 1,965 2,985 3,275 4,975 9,825 14,925 26,069 78,207 130,345 391,035 651,725 1,955,175

Collatz Trajectory (321 steps to reach 1)

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

1,955,175 5,865,526 2,932,763 8,798,290 4,399,145 13,197,436 6,598,718 3,299,359 9,898,078 4,949,039 14,847,118 7,423,559 22,270,678 11,135,339 33,406,018 16,703,009 50,109,028 25,054,514 12,527,257 37,581,772 18,790,886 9,395,443 28,186,330 14,093,165 42,279,496 21,139,748 10,569,874 5,284,937 15,854,812 7,927,406 3,963,703 11,891,110 5,945,555 17,836,666 8,918,333 26,755,000 13,377,500 6,688,750 3,344,375 10,033,126 5,016,563 15,049,690 7,524,845 22,574,536 11,287,268 5,643,634 2,821,817 8,465,452 4,232,726 2,116,363 6,349,090 3,174,545 9,523,636 4,761,818 2,380,909 7,142,728 3,571,364 1,785,682 892,841 2,678,524

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