9,512,840

2³ × 5 × 237821

9,512,840 factors as 2^3 × 5 × 237821. Its 16 positive divisors give a proper-divisor sum of 11,891,140, so this integer is abundant. The Collatz stopping time is 75 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 237821

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 21,403,980

Proper Divisor Sum 11,891,140

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #9512813 ← → #9512851

Radix Representation

Decimal	9512840
Binary	100100010010011110001000 (24 bits)
Octal	0o44223610
Hexadecimal	0x912788

Divisor Catalog (16)

1 2 4 5 8 10 20 40 237,821 475,642 951,284 1,189,105 1,902,568 2,378,210 4,756,420 9,512,840

Collatz Trajectory (75 steps to reach 1)

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

9,512,840 4,756,420 2,378,210 1,189,105 3,567,316 1,783,658 891,829 2,675,488 1,337,744 668,872 334,436 167,218 83,609 250,828 125,414 62,707 188,122 94,061 282,184 141,092 70,546 35,273 105,820 52,910 26,455 79,366 39,683 119,050 59,525 178,576 89,288 44,644 22,322 11,161 33,484 16,742 8,371 25,114 12,557 37,672 18,836 9,418 4,709 14,128 7,064 3,532 1,766 883 2,650 1,325 3,976 1,988 994 497 1,492 746 373 1,120 560 280

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