λ
Integer Codex

9,041,175

32 × 52 × 11 × 13 × 281
Abundant Odd Composite

For 9,041,175, the 72 positive divisors have a total of 19,092,528. Removing 9,041,175 leaves 10,051,353, which gives the abundant classification.

Prime Factor Structure

Factorization String 3^2 × 5^2 × 11 × 13 × 281
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 19,092,528
Proper Divisor Sum 10,051,353
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #9041173 ← → #9041189

Radix Representation

Decimal 9041175
Binary 100010011111010100010111 (24 bits)
Octal 0o42372427
Hexadecimal 0x89F517

Divisor Catalog (60 of 72)

1 3 5 9 11 13 15 25 33 39 45 55 65 75 99 117 143 165 195 225 275 281 325 429 495 585 715 825 843 975 1,287 1,405 2,145 2,475 2,529 2,925 3,091 3,575 3,653 4,215 6,435 7,025 9,273 10,725 10,959 12,645 15,455 18,265 21,075 27,819 32,175 32,877 40,183 46,365 54,795 63,225 77,275 91,325 120,549 139,095

Collatz Trajectory (137 steps to reach 1)

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

9,041,175 27,123,526 13,561,763 40,685,290 20,342,645 61,027,936 30,513,968 15,256,984 7,628,492 3,814,246 1,907,123 5,721,370 2,860,685 8,582,056 4,291,028 2,145,514 1,072,757 3,218,272 1,609,136 804,568 402,284 201,142 100,571 301,714 150,857 452,572 226,286 113,143 339,430 169,715 509,146 254,573 763,720 381,860 190,930 95,465 286,396 143,198 71,599 214,798 107,399 322,198 161,099 483,298 241,649 724,948 362,474 181,237 543,712 271,856 135,928 67,964 33,982 16,991 50,974 25,487 76,462 38,231 114,694 57,347

More profiles

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