9,028,149

3 × 13² × 17807

9,028,149 factors as 3 × 13^2 × 17807. Its 12 positive divisors give a proper-divisor sum of 4,007,307, so this integer is deficient. The Collatz stopping time is 62 steps.

Prime Factor Structure

Factorization String 3 × 13^2 × 17807

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 13,035,456

Proper Divisor Sum 4,007,307

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #9028141 ← → #9028181

Radix Representation

Decimal	9028149
Binary	100010011100001000110101 (24 bits)
Octal	0o42341065
Hexadecimal	0x89C235

Divisor Catalog (12)

1 3 13 39 169 507 17,807 53,421 231,491 694,473 3,009,383 9,028,149

Collatz Trajectory (62 steps to reach 1)

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

9,028,149 27,084,448 13,542,224 6,771,112 3,385,556 1,692,778 846,389 2,539,168 1,269,584 634,792 317,396 158,698 79,349 238,048 119,024 59,512 29,756 14,878 7,439 22,318 11,159 33,478 16,739 50,218 25,109 75,328 37,664 18,832 9,416 4,708 2,354 1,177 3,532 1,766 883 2,650 1,325 3,976 1,988 994 497 1,492 746 373 1,120 560 280 140 70 35 106 53 160 80 40 20 10 5 16 8

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