3,019,404

2² × 3 × 17 × 19² × 41

Starting at 3,019,404, the Collatz iteration reaches 1 after 89 steps. The first transition is 1509702; the starting value is even with 72 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 17 × 19^2 × 41

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 8,065,008

Proper Divisor Sum 5,045,604

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #3019397 ← → #3019411

Radix Representation

Decimal	3019404
Binary	1011100001001010001100 (22 bits)
Octal	0o13411214
Hexadecimal	0x2E128C

Divisor Catalog (60 of 72)

1 2 3 4 6 12 17 19 34 38 41 51 57 68 76 82 102 114 123 164 204 228 246 323 361 492 646 697 722 779 969 1,083 1,292 1,394 1,444 1,558 1,938 2,091 2,166 2,337 2,788 3,116 3,876 4,182 4,332 4,674 6,137 8,364 9,348 12,274 13,243 14,801 18,411 24,548 26,486 29,602 36,822 39,729 44,403 52,972

Collatz Trajectory (89 steps to reach 1)

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

3,019,404 1,509,702 754,851 2,264,554 1,132,277 3,396,832 1,698,416 849,208 424,604 212,302 106,151 318,454 159,227 477,682 238,841 716,524 358,262 179,131 537,394 268,697 806,092 403,046 201,523 604,570 302,285 906,856 453,428 226,714 113,357 340,072 170,036 85,018 42,509 127,528 63,764 31,882 15,941 47,824 23,912 11,956 5,978 2,989 8,968 4,484 2,242 1,121 3,364 1,682 841 2,524 1,262 631 1,894 947 2,842 1,421 4,264 2,132 1,066 533

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