7,013,200

2⁴ × 5² × 89 × 197

Starting at 7,013,200, the Collatz iteration reaches 1 after 160 steps. The first transition is 3506600; the starting value is even with 60 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 5^2 × 89 × 197

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 17,125,020

Proper Divisor Sum 10,111,820

Digit Sum / Digital Root 13 (Root: 4)

Adjacent Primes #7013179 ← → #7013203

Radix Representation

Decimal	7013200
Binary	11010110000001101010000 (23 bits)
Octal	0o32601520
Hexadecimal	0x6B0350

Divisor Catalog (60)

1 2 4 5 8 10 16 20 25 40 50 80 89 100 178 197 200 356 394 400 445 712 788 890 985 1,424 1,576 1,780 1,970 2,225 3,152 3,560 3,940 4,450 4,925 7,120 7,880 8,900 9,850 15,760 17,533 17,800 19,700 35,066 35,600 39,400 70,132 78,800 87,665 140,264 175,330 280,528 350,660 438,325 701,320 876,650 1,402,640 1,753,300 3,506,600 7,013,200

Collatz Trajectory (160 steps to reach 1)

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

7,013,200 3,506,600 1,753,300 876,650 438,325 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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