7,057,700

2² × 5² × 13 × 61 × 89

Starting at 7,057,700, the Collatz iteration reaches 1 after 191 steps. The first transition is 3528850; the starting value is even with 72 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 13 × 61 × 89

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 16,952,040

Proper Divisor Sum 9,894,340

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #7057697 ← → #7057709

Radix Representation

Decimal	7057700
Binary	11010111011000100100100 (23 bits)
Octal	0o32730444
Hexadecimal	0x6BB124

Divisor Catalog (60 of 72)

1 2 4 5 10 13 20 25 26 50 52 61 65 89 100 122 130 178 244 260 305 325 356 445 610 650 793 890 1,157 1,220 1,300 1,525 1,586 1,780 2,225 2,314 3,050 3,172 3,965 4,450 4,628 5,429 5,785 6,100 7,930 8,900 10,858 11,570 15,860 19,825 21,716 23,140 27,145 28,925 39,650 54,290 57,850 70,577 79,300 108,580

Collatz Trajectory (191 steps to reach 1)

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

7,057,700 3,528,850 1,764,425 5,293,276 2,646,638 1,323,319 3,969,958 1,984,979 5,954,938 2,977,469 8,932,408 4,466,204 2,233,102 1,116,551 3,349,654 1,674,827 5,024,482 2,512,241 7,536,724 3,768,362 1,884,181 5,652,544 2,826,272 1,413,136 706,568 353,284 176,642 88,321 264,964 132,482 66,241 198,724 99,362 49,681 149,044 74,522 37,261 111,784 55,892 27,946 13,973 41,920 20,960 10,480 5,240 2,620 1,310 655 1,966 983 2,950 1,475 4,426 2,213 6,640 3,320 1,660 830 415 1,246

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