λ
Integer Codex

9,086,315

5 × 72 × 37087
Deficient Odd Composite

For 9,086,315, the 12 positive divisors have a total of 12,684,096. Removing 9,086,315 leaves 3,597,781, which gives the deficient classification.

Prime Factor Structure

Factorization String 5 × 7^2 × 37087
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 12,684,096
Proper Divisor Sum 3,597,781
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #9086299 ← → #9086321

Radix Representation

Decimal 9086315
Binary 100010101010010101101011 (24 bits)
Octal 0o42522553
Hexadecimal 0x8AA56B

Divisor Catalog (12)

1 5 7 35 49 245 37,087 185,435 259,609 1,298,045 1,817,263 9,086,315

Collatz Trajectory (88 steps to reach 1)

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

9,086,315 27,258,946 13,629,473 40,888,420 20,444,210 10,222,105 30,666,316 15,333,158 7,666,579 22,999,738 11,499,869 34,499,608 17,249,804 8,624,902 4,312,451 12,937,354 6,468,677 19,406,032 9,703,016 4,851,508 2,425,754 1,212,877 3,638,632 1,819,316 909,658 454,829 1,364,488 682,244 341,122 170,561 511,684 255,842 127,921 383,764 191,882 95,941 287,824 143,912 71,956 35,978 17,989 53,968 26,984 13,492 6,746 3,373 10,120 5,060 2,530 1,265 3,796 1,898 949 2,848 1,424 712 356 178 89 268

More profiles

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