7,134,142

2 × 113 × 31567

Starting at 7,134,142, the Collatz iteration reaches 1 after 98 steps. The first transition is 3567071; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 113 × 31567

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 10,796,256

Proper Divisor Sum 3,662,114

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #7134137 ← → #7134143

Radix Representation

Decimal	7134142
Binary	11011001101101110111110 (23 bits)
Octal	0o33155676
Hexadecimal	0x6CDBBE

Divisor Catalog (8)

1 2 113 226 31,567 63,134 3,567,071 7,134,142

Collatz Trajectory (98 steps to reach 1)

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

7,134,142 3,567,071 10,701,214 5,350,607 16,051,822 8,025,911 24,077,734 12,038,867 36,116,602 18,058,301 54,174,904 27,087,452 13,543,726 6,771,863 20,315,590 10,157,795 30,473,386 15,236,693 45,710,080 22,855,040 11,427,520 5,713,760 2,856,880 1,428,440 714,220 357,110 178,555 535,666 267,833 803,500 401,750 200,875 602,626 301,313 903,940 451,970 225,985 677,956 338,978 169,489 508,468 254,234 127,117 381,352 190,676 95,338 47,669 143,008 71,504 35,752 17,876 8,938 4,469 13,408 6,704 3,352 1,676 838 419 1,258

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