5,946,516

2² × 3² × 165181

Starting at 5,946,516, the Collatz iteration reaches 1 after 214 steps. The first transition is 2973258; the starting value is even with 18 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 165181

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 15,031,562

Proper Divisor Sum 9,085,046

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #5946511 ← → #5946541

Radix Representation

Decimal	5946516
Binary	10110101011110010010100 (23 bits)
Octal	0o26536224
Hexadecimal	0x5ABC94

Divisor Catalog (18)

1 2 3 4 6 9 12 18 36 165,181 330,362 495,543 660,724 991,086 1,486,629 1,982,172 2,973,258 5,946,516

Collatz Trajectory (214 steps to reach 1)

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

5,946,516 2,973,258 1,486,629 4,459,888 2,229,944 1,114,972 557,486 278,743 836,230 418,115 1,254,346 627,173 1,881,520 940,760 470,380 235,190 117,595 352,786 176,393 529,180 264,590 132,295 396,886 198,443 595,330 297,665 892,996 446,498 223,249 669,748 334,874 167,437 502,312 251,156 125,578 62,789 188,368 94,184 47,092 23,546 11,773 35,320 17,660 8,830 4,415 13,246 6,623 19,870 9,935 29,806 14,903 44,710 22,355 67,066 33,533 100,600 50,300 25,150 12,575 37,726

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