9,526,520

2³ × 5 × 238163

9,526,520 factors as 2^3 × 5 × 238163. Its 16 positive divisors give a proper-divisor sum of 11,908,240, so this integer is abundant. The Collatz stopping time is 75 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 238163

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 21,434,760

Proper Divisor Sum 11,908,240

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #9526519 ← → #9526537

Radix Representation

Decimal	9526520
Binary	100100010101110011111000 (24 bits)
Octal	0o44256370
Hexadecimal	0x915CF8

Divisor Catalog (16)

1 2 4 5 8 10 20 40 238,163 476,326 952,652 1,190,815 1,905,304 2,381,630 4,763,260 9,526,520

Collatz Trajectory (75 steps to reach 1)

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

9,526,520 4,763,260 2,381,630 1,190,815 3,572,446 1,786,223 5,358,670 2,679,335 8,038,006 4,019,003 12,057,010 6,028,505 18,085,516 9,042,758 4,521,379 13,564,138 6,782,069 20,346,208 10,173,104 5,086,552 2,543,276 1,271,638 635,819 1,907,458 953,729 2,861,188 1,430,594 715,297 2,145,892 1,072,946 536,473 1,609,420 804,710 402,355 1,207,066 603,533 1,810,600 905,300 452,650 226,325 678,976 339,488 169,744 84,872 42,436 21,218 10,609 31,828 15,914 7,957 23,872 11,936 5,968 2,984 1,492 746 373 1,120 560 280

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