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Atlas › Integer Profiles › Node 9,509,481

9,509,481

34 × 19 × 37 × 167
Deficient Odd Composite

9,509,481 factors as 3^4 × 19 × 37 × 167. Its 40 positive divisors give a proper-divisor sum of 5,939,799, so this integer is deficient. The Collatz stopping time is 75 steps.

Prime Factor Structure

Factorization String 3^4 × 19 × 37 × 167
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 15,449,280
Proper Divisor Sum 5,939,799
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9509471 ← → #9509497

Radix Representation

Decimal 9509481
Binary 100100010001101001101001 (24 bits)
Octal 0o44215151
Hexadecimal 0x911A69

Divisor Catalog (40)

1 3 9 19 27 37 57 81 111 167 171 333 501 513 703 999 1,503 1,539 2,109 2,997 3,173 4,509 6,179 6,327 9,519 13,527 18,537 18,981 28,557 55,611 56,943 85,671 117,401 166,833 257,013 352,203 500,499 1,056,609 3,169,827 9,509,481

Collatz Trajectory (75 steps to reach 1)

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

9,509,481 28,528,444 14,264,222 7,132,111 21,396,334 10,698,167 32,094,502 16,047,251 48,141,754 24,070,877 72,212,632 36,106,316 18,053,158 9,026,579 27,079,738 13,539,869 40,619,608 20,309,804 10,154,902 5,077,451 15,232,354 7,616,177 22,848,532 11,424,266 5,712,133 17,136,400 8,568,200 4,284,100 2,142,050 1,071,025 3,213,076 1,606,538 803,269 2,409,808 1,204,904 602,452 301,226 150,613 451,840 225,920 112,960 56,480 28,240 14,120 7,060 3,530 1,765 5,296 2,648 1,324 662 331 994 497 1,492 746 373 1,120 560 280

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