6,904,284

2² × 3 × 79 × 7283

Starting at 6,904,284, the Collatz iteration reaches 1 after 98 steps. The first transition is 3452142; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 79 × 7283

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 16,316,160

Proper Divisor Sum 9,411,876

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #6904279 ← → #6904309

Radix Representation

Decimal	6904284
Binary	11010010101100111011100 (23 bits)
Octal	0o32254734
Hexadecimal	0x6959DC

Divisor Catalog (24)

1 2 3 4 6 12 79 158 237 316 474 948 7,283 14,566 21,849 29,132 43,698 87,396 575,357 1,150,714 1,726,071 2,301,428 3,452,142 6,904,284

Collatz Trajectory (98 steps to reach 1)

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

6,904,284 3,452,142 1,726,071 5,178,214 2,589,107 7,767,322 3,883,661 11,650,984 5,825,492 2,912,746 1,456,373 4,369,120 2,184,560 1,092,280 546,140 273,070 136,535 409,606 204,803 614,410 307,205 921,616 460,808 230,404 115,202 57,601 172,804 86,402 43,201 129,604 64,802 32,401 97,204 48,602 24,301 72,904 36,452 18,226 9,113 27,340 13,670 6,835 20,506 10,253 30,760 15,380 7,690 3,845 11,536 5,768 2,884 1,442 721 2,164 1,082 541 1,624 812 406 203

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