7,318,142

2 × 13 × 67 × 4201

Starting at 7,318,142, the Collatz iteration reaches 1 after 142 steps. The first transition is 3659071; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 13 × 67 × 4201

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 12,000,912

Proper Divisor Sum 4,682,770

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #7318099 ← → #7318159

Radix Representation

Decimal	7318142
Binary	11011111010101001111110 (23 bits)
Octal	0o33725176
Hexadecimal	0x6FAA7E

Divisor Catalog (16)

1 2 13 26 67 134 871 1,742 4,201 8,402 54,613 109,226 281,467 562,934 3,659,071 7,318,142

Collatz Trajectory (142 steps to reach 1)

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

7,318,142 3,659,071 10,977,214 5,488,607 16,465,822 8,232,911 24,698,734 12,349,367 37,048,102 18,524,051 55,572,154 27,786,077 83,358,232 41,679,116 20,839,558 10,419,779 31,259,338 15,629,669 46,889,008 23,444,504 11,722,252 5,861,126 2,930,563 8,791,690 4,395,845 13,187,536 6,593,768 3,296,884 1,648,442 824,221 2,472,664 1,236,332 618,166 309,083 927,250 463,625 1,390,876 695,438 347,719 1,043,158 521,579 1,564,738 782,369 2,347,108 1,173,554 586,777 1,760,332 880,166 440,083 1,320,250 660,125 1,980,376 990,188 495,094 247,547 742,642 371,321 1,113,964 556,982 278,491

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