9,042,516

2² × 3⁶ × 7 × 443

9,042,516 has digital root 9. The neighboring primes are 9042511 and 9042529; its proper-divisor sum differs from the starting integer by 9,091,320.

Prime Factor Structure

Factorization String 2^2 × 3^6 × 7 × 443

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 84

Divisor Sum (σ) 27,176,352

Proper Divisor Sum 18,133,836

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #9042511 ← → #9042529

Radix Representation

Decimal	9042516
Binary	100010011111101001010100 (24 bits)
Octal	0o42375124
Hexadecimal	0x89FA54

Divisor Catalog (60 of 84)

1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 443 486 567 729 756 886 972 1,134 1,329 1,458 1,701 1,772 2,268 2,658 2,916 3,101 3,402 3,987 5,103 5,316 6,202 6,804 7,974 9,303 10,206 11,961 12,404 15,948 18,606 20,412 23,922 27,909 35,883

Collatz Trajectory (181 steps to reach 1)

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

9,042,516 4,521,258 2,260,629 6,781,888 3,390,944 1,695,472 847,736 423,868 211,934 105,967 317,902 158,951 476,854 238,427 715,282 357,641 1,072,924 536,462 268,231 804,694 402,347 1,207,042 603,521 1,810,564 905,282 452,641 1,357,924 678,962 339,481 1,018,444 509,222 254,611 763,834 381,917 1,145,752 572,876 286,438 143,219 429,658 214,829 644,488 322,244 161,122 80,561 241,684 120,842 60,421 181,264 90,632 45,316 22,658 11,329 33,988 16,994 8,497 25,492 12,746 6,373 19,120 9,560

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