7,437,274

2 × 13 × 286049

Starting at 7,437,274, the Collatz iteration reaches 1 after 142 steps. The first transition is 3718637; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 13 × 286049

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 12,014,100

Proper Divisor Sum 4,576,826

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #7437217 ← → #7437293

Radix Representation

Decimal	7437274
Binary	11100010111101111011010 (23 bits)
Octal	0o34275732
Hexadecimal	0x717BDA

Divisor Catalog (8)

1 2 13 26 286,049 572,098 3,718,637 7,437,274

Collatz Trajectory (142 steps to reach 1)

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

7,437,274 3,718,637 11,155,912 5,577,956 2,788,978 1,394,489 4,183,468 2,091,734 1,045,867 3,137,602 1,568,801 4,706,404 2,353,202 1,176,601 3,529,804 1,764,902 882,451 2,647,354 1,323,677 3,971,032 1,985,516 992,758 496,379 1,489,138 744,569 2,233,708 1,116,854 558,427 1,675,282 837,641 2,512,924 1,256,462 628,231 1,884,694 942,347 2,827,042 1,413,521 4,240,564 2,120,282 1,060,141 3,180,424 1,590,212 795,106 397,553 1,192,660 596,330 298,165 894,496 447,248 223,624 111,812 55,906 27,953 83,860 41,930 20,965 62,896 31,448 15,724 7,862

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