7,302,546

2 × 3² × 23 × 31 × 569

Starting at 7,302,546, the Collatz iteration reaches 1 after 173 steps. The first transition is 3651273; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 23 × 31 × 569

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 17,072,640

Proper Divisor Sum 9,770,094

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7302509 ← → #7302553

Radix Representation

Decimal	7302546
Binary	11011110110110110010010 (23 bits)
Octal	0o33666622
Hexadecimal	0x6F6D92

Divisor Catalog (48)

1 2 3 6 9 18 23 31 46 62 69 93 138 186 207 279 414 558 569 713 1,138 1,426 1,707 2,139 3,414 4,278 5,121 6,417 10,242 12,834 13,087 17,639 26,174 35,278 39,261 52,917 78,522 105,834 117,783 158,751 235,566 317,502 405,697 811,394 1,217,091 2,434,182 3,651,273 7,302,546

Collatz Trajectory (173 steps to reach 1)

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

7,302,546 3,651,273 10,953,820 5,476,910 2,738,455 8,215,366 4,107,683 12,323,050 6,161,525 18,484,576 9,242,288 4,621,144 2,310,572 1,155,286 577,643 1,732,930 866,465 2,599,396 1,299,698 649,849 1,949,548 974,774 487,387 1,462,162 731,081 2,193,244 1,096,622 548,311 1,644,934 822,467 2,467,402 1,233,701 3,701,104 1,850,552 925,276 462,638 231,319 693,958 346,979 1,040,938 520,469 1,561,408 780,704 390,352 195,176 97,588 48,794 24,397 73,192 36,596 18,298 9,149 27,448 13,724 6,862 3,431 10,294 5,147 15,442 7,721

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