8,742,642

2 × 3 × 61 × 23887

For 8,742,642, the 16 positive divisors have a total of 17,772,672. Removing 8,742,642 leaves 9,030,030, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3 × 61 × 23887

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 17,772,672

Proper Divisor Sum 9,030,030

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #8742637 ← → #8742653

Radix Representation

Decimal	8742642
Binary	100001010110011011110010 (24 bits)
Octal	0o41263362
Hexadecimal	0x8566F2

Divisor Catalog (16)

1 2 3 6 61 122 183 366 23,887 47,774 71,661 143,322 1,457,107 2,914,214 4,371,321 8,742,642

Collatz Trajectory (199 steps to reach 1)

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

8,742,642 4,371,321 13,113,964 6,556,982 3,278,491 9,835,474 4,917,737 14,753,212 7,376,606 3,688,303 11,064,910 5,532,455 16,597,366 8,298,683 24,896,050 12,448,025 37,344,076 18,672,038 9,336,019 28,008,058 14,004,029 42,012,088 21,006,044 10,503,022 5,251,511 15,754,534 7,877,267 23,631,802 11,815,901 35,447,704 17,723,852 8,861,926 4,430,963 13,292,890 6,646,445 19,939,336 9,969,668 4,984,834 2,492,417 7,477,252 3,738,626 1,869,313 5,607,940 2,803,970 1,401,985 4,205,956 2,102,978 1,051,489 3,154,468 1,577,234 788,617 2,365,852 1,182,926 591,463 1,774,390 887,195 2,661,586 1,330,793 3,992,380 1,996,190

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