9,270,252

2² × 3² × 19 × 13553

Starting at 9,270,252, the Collatz iteration reaches 1 after 106 steps. The first transition is 4635126; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 19 × 13553

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 24,668,280

Proper Divisor Sum 15,398,028

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #9270221 ← → #9270263

Radix Representation

Decimal	9270252
Binary	100011010111001111101100 (24 bits)
Octal	0o43271754
Hexadecimal	0x8D73EC

Divisor Catalog (36)

Collatz Trajectory (106 steps to reach 1)

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

9,270,252 4,635,126 2,317,563 6,952,690 3,476,345 10,429,036 5,214,518 2,607,259 7,821,778 3,910,889 11,732,668 5,866,334 2,933,167 8,799,502 4,399,751 13,199,254 6,599,627 19,798,882 9,899,441 29,698,324 14,849,162 7,424,581 22,273,744 11,136,872 5,568,436 2,784,218 1,392,109 4,176,328 2,088,164 1,044,082 522,041 1,566,124 783,062 391,531 1,174,594 587,297 1,761,892 880,946 440,473 1,321,420 660,710 330,355 991,066 495,533 1,486,600 743,300 371,650 185,825 557,476 278,738 139,369 418,108 209,054 104,527 313,582 156,791 470,374 235,187 705,562 352,781

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