λ
Harmonic Matrix

9,521,360

24 × 5 × 17 × 7001
Abundant Even Composite

9,521,360 has digital root 8. The neighboring primes are 9521357 and 9521381; its proper-divisor sum differs from the starting integer by 4,399,976.

Prime Factor Structure

Factorization String 2^4 × 5 × 17 × 7001
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 23,442,696
Proper Divisor Sum 13,921,336
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #9521357 ← → #9521381

Radix Representation

Decimal 9521360
Binary 100100010100100011010000 (24 bits)
Octal 0o44244320
Hexadecimal 0x9148D0

Divisor Catalog (40)

1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1,360 7,001 14,002 28,004 35,005 56,008 70,010 112,016 119,017 140,020 238,034 280,040 476,068 560,080 595,085 952,136 1,190,170 1,904,272 2,380,340 4,760,680 9,521,360

Collatz Trajectory (70 steps to reach 1)

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

9,521,360 4,760,680 2,380,340 1,190,170 595,085 1,785,256 892,628 446,314 223,157 669,472 334,736 167,368 83,684 41,842 20,921 62,764 31,382 15,691 47,074 23,537 70,612 35,306 17,653 52,960 26,480 13,240 6,620 3,310 1,655 4,966 2,483 7,450 3,725 11,176 5,588 2,794 1,397 4,192 2,096 1,048 524 262 131 394 197 592 296 148 74 37 112 56 28 14 7 22 11 34 17 52

More profiles

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