λ
Prime Ledger

9,083,315

5 × 372 × 1327
Deficient Odd Composite

9,083,315 has the prime decomposition 5 × 37^2 × 1327. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 5 × 37^2 × 1327
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 11,210,976
Proper Divisor Sum 2,127,661
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #9083303 ← → #9083357

Radix Representation

Decimal 9083315
Binary 100010101001100110110011 (24 bits)
Octal 0o42514663
Hexadecimal 0x8A99B3

Divisor Catalog (12)

1 5 37 185 1,327 1,369 6,635 6,845 49,099 245,495 1,816,663 9,083,315

Collatz Trajectory (256 steps to reach 1)

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

9,083,315 27,249,946 13,624,973 40,874,920 20,437,460 10,218,730 5,109,365 15,328,096 7,664,048 3,832,024 1,916,012 958,006 479,003 1,437,010 718,505 2,155,516 1,077,758 538,879 1,616,638 808,319 2,424,958 1,212,479 3,637,438 1,818,719 5,456,158 2,728,079 8,184,238 4,092,119 12,276,358 6,138,179 18,414,538 9,207,269 27,621,808 13,810,904 6,905,452 3,452,726 1,726,363 5,179,090 2,589,545 7,768,636 3,884,318 1,942,159 5,826,478 2,913,239 8,739,718 4,369,859 13,109,578 6,554,789 19,664,368 9,832,184 4,916,092 2,458,046 1,229,023 3,687,070 1,843,535 5,530,606 2,765,303 8,295,910 4,147,955 12,443,866

More profiles

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