λ
Harmonic Matrix

9,361,616

24 × 11 × 43 × 1237
Abundant Even Composite

9,361,616 has digital root 5. The neighboring primes are 9361613 and 9361619; its proper-divisor sum differs from the starting integer by 1,540,352.

Prime Factor Structure

Factorization String 2^4 × 11 × 43 × 1237
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 20,263,584
Proper Divisor Sum 10,901,968
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #9361613 ← → #9361619

Radix Representation

Decimal 9361616
Binary 100011101101100011010000 (24 bits)
Octal 0o43554320
Hexadecimal 0x8ED8D0

Divisor Catalog (40)

1 2 4 8 11 16 22 43 44 86 88 172 176 344 473 688 946 1,237 1,892 2,474 3,784 4,948 7,568 9,896 13,607 19,792 27,214 53,191 54,428 106,382 108,856 212,764 217,712 425,528 585,101 851,056 1,170,202 2,340,404 4,680,808 9,361,616

Collatz Trajectory (70 steps to reach 1)

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

9,361,616 4,680,808 2,340,404 1,170,202 585,101 1,755,304 877,652 438,826 219,413 658,240 329,120 164,560 82,280 41,140 20,570 10,285 30,856 15,428 7,714 3,857 11,572 5,786 2,893 8,680 4,340 2,170 1,085 3,256 1,628 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52

More profiles

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