7,013,204

2² × 11 × 19 × 8389

Starting at 7,013,204, the Collatz iteration reaches 1 after 160 steps. The first transition is 3506602; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 11 × 19 × 8389

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 14,095,200

Proper Divisor Sum 7,081,996

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #7013203 ← → #7013213

Radix Representation

Decimal	7013204
Binary	11010110000001101010100 (23 bits)
Octal	0o32601524
Hexadecimal	0x6B0354

Divisor Catalog (24)

1 2 4 11 19 22 38 44 76 209 418 836 8,389 16,778 33,556 92,279 159,391 184,558 318,782 369,116 637,564 1,753,301 3,506,602 7,013,204

Collatz Trajectory (160 steps to reach 1)

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

7,013,204 3,506,602 1,753,301 5,259,904 2,629,952 1,314,976 657,488 328,744 164,372 82,186 41,093 123,280 61,640 30,820 15,410 7,705 23,116 11,558 5,779 17,338 8,669 26,008 13,004 6,502 3,251 9,754 4,877 14,632 7,316 3,658 1,829 5,488 2,744 1,372 686 343 1,030 515 1,546 773 2,320 1,160 580 290 145 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214

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